Academic literature on the topic 'Variations in shape'

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Journal articles on the topic "Variations in shape"

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Azis, Andy, Alchalil Alchalil, Adi Setiawan, and Nurul Islami. "STUDI EKSPERIMENTAL WIND TUNNEL TIPE SUBSONIC RANGKAIAN TERBUKA DENGAN VARIASI BENTUK HONYECOMB." Malikussaleh Journal of Mechanical Science and Technology 7, no. 2 (2023): 105. http://dx.doi.org/10.29103/mjmst.v7i2.13491.

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Honeycomb is applied to the Open Series Subsonic Wind Tunnel which aims to obtain a unidirectional fluid flow shape with uniform (laminar) and stable fluid flow velocities. Honeycomb testing was carried out experimentally at a flow velocity of 3 m / s without honeycomb using a variety of shapes: hexagonal, square, and circular. Each honeycomb shaped to 8mm diameter. The results of the analysis on honeycomb testing with variations in shape obtained the value of turbulence intensity that occurs in the test section, namely for hexagonal shape variations the flow that occurs is better than circular shape, while in circular shape variations the value of turbulence intensity is better than square shape. The results of the Reynold's number calculation show that the flow that occurs is laminar with the following values, in the hexagonal shape variation the value is 787, circular shape 956.48, and square shape 1199.42. After calculating the turbulence intensity and Reynold's number, we can conclude that honeycomb with hexagonal shape variation is optimal than circular shape, and circular is optimal than square.
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Otty Ratna Wahjuni, Ramadhan Hardani Putra, and Baharudin Wiradika Harahap. "Anatomical variation of the incisive canal: A CBCT study at Universitas Airlangga Academic Dental Hospital." World Journal of Advanced Research and Reviews 17, no. 2 (2023): 551–55. http://dx.doi.org/10.30574/wjarr.2023.17.2.0221.

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Incisive canal located in maxillary anterior of hard palate around maxillary central incisor region that acts as a tunnel between the oral cavity and the nose. Incisive canal provide sensory innervation to the nasal septum and the anterior mucosa of the hard palate. The anatomical shape of the incisive canal varies individually, hence, should be considered before surgical intervention in the oral cavity. To determine the distribution of anatomical variations of the incisive canal in the sagittal section at Universitas Airlangga Academic Dental Hospital using Cone Beam Computed Tomography (CBCT). Fifty-four samples were obtained from the interpretation report of sagittal section of CBCT at Universitas Airlangga Academic Dental Hospital from 2015 – 2021. Observations of the incisive canals were carried out by agreement of authors by classifying the variations into cylindrical shape, funnel shape, banana shapes and hourglass shapes. In 54 samples with an age range of 12 - 70 years, the variations of the incisive canal were Cylindrical shape (63%), Banana shape (19%), Funnel shape (17%) and Hourglass shape (2%). Based on gender, Cylindrical shape was most commonly found in men (56%) and women (73%). Four variations of anatomical variations of the incisive canals were found at Universitas Airlangga Academic Dental Hospital, with cylindrical shape as the most prevalent variation. Therefore, observation of the incisive canal anatomy is necessary before surgical intervention.
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Otty, Ratna Wahjuni, Hardani Putra Ramadhan, and Wiradika Harahap Baharudin. "Anatomical variation of the incisive canal: A CBCT study at Universitas Airlangga Academic Dental Hospital." World Journal of Advanced Research and Reviews 17, no. 2 (2023): 551–55. https://doi.org/10.5281/zenodo.8108881.

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Incisive canal located in maxillary anterior of hard palate around maxillary central incisor region that acts as a tunnel between the oral cavity and the nose. Incisive canal provide sensory innervation to the nasal septum and the anterior mucosa of the hard palate. The anatomical shape of the incisive canal varies individually, hence, should be considered before surgical intervention in the oral cavity. To determine the distribution of anatomical variations of the incisive canal in the sagittal section at Universitas Airlangga Academic Dental Hospital using Cone Beam Computed Tomography (CBCT). Fifty-four samples were obtained from the interpretation report of sagittal section of CBCT at Universitas Airlangga Academic Dental Hospital from 2015 – 2021. Observations of the incisive canals were carried out by agreement of authors by classifying the variations into cylindrical shape, funnel shape, banana shapes and hourglass shapes.  In 54 samples with an age range of 12 - 70 years, the variations of the incisive canal were Cylindrical shape (63%), Banana shape (19%), Funnel shape (17%) and Hourglass shape (2%). Based on gender, Cylindrical shape was most commonly found in men (56%) and women (73%). Four variations of anatomical variations of the incisive canals were found at Universitas Airlangga Academic Dental Hospital, with cylindrical shape as the most prevalent variation. Therefore, observation of the incisive canal anatomy is necessary before surgical intervention.
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Amol A, Shinde, Agrawal Sakshi, and Patel Dinesh K. "Splenic Notches and Morphometrics of Spleen as Tools for Sexual Dimorphism: an Analysis in Pune Region of Maharashtra." International Research Journal of Multidisciplinary Scope 06, no. 01 (2025): 833–40. https://doi.org/10.47857/irjms.2025.v06i01.02752.

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Variations in shapes and morphometry of spleen is seen. Number and location of splenic notches show regional variation. This study is done to determine tools for sexual dimorphism of spleen. 72 spleen of known sex were used from cadavers used for 1st MBBS dissection. Shape, number and location of splenic notches were noted. Length, breadth, thickness and weight of spleen were calculated. Triangular shaped spleen was seen most commonly. Maximum 5 notches were seen on a spleen. Morphometric measurements showed regional variations and sexual dimorphism. We conclude that formation of splenic notches by incomplete fusion of various lobes has been mentioned in earlier embryological studies but new hypothesis suggests that these notches can be considered developmental variations. A wide variation in shapes and morphometrics of spleen is seen. They can be used as tools of sexual dimorphism.
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Keustermans, William, Toon Huysmans, Femke Danckaers, et al. "High quality statistical shape modelling of the human nasal cavity and applications." Royal Society Open Science 5, no. 12 (2018): 181558. http://dx.doi.org/10.1098/rsos.181558.

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The human nose is a complex organ that shows large morphological variations and has many important functions. However, the relation between shape and function is not yet fully understood. In this work, we present a high quality statistical shape model of the human nose based on clinical CT data of 46 patients. A technique based on cylindrical parametrization was used to create a correspondence between the nasal shapes of the population. Applying principal component analysis on these corresponded nasal cavities resulted in an average nasal geometry and geometrical variations, known as principal components, present in the population with a high precision. The analysis led to 46 principal components, which account for 95% of the total geometrical variation captured. These variations are first discussed qualitatively, and the effect on the average nasal shape of the first five principal components is visualized. Hereafter, by using this statistical shape model, two application examples that lead to quantitative data are shown: nasal shape in function of age and gender, and a morphometric analysis of different anatomical regions. Shape models, as the one presented here, can help to get a better understanding of nasal shape and variation, and their relationship with demographic data.
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Najmin M. "Morphometric Study of Shape of Glenoid cavity of Scapulae." Journal of Sylhet Women’s Medical College 15, Number 1 (2025): 22–25. https://doi.org/10.47648/jswmc2025v15-01-114.

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Background: The glenoid cavity of the scapula is crucial for shoulder joint stability, forming the articulation with the humeral head. Variations in its shape and size can influence joint mechanics, affecting shoulder stability and the risk of injuries like dislocations. Understanding these variations is important for orthopedic procedures, such as shoulder arthroplasty, and in diagnosing shoulder pathologies. The cavity typically appears in shapes like oval, pear-shaped, or inverted comma, with variations across different populations. Objective: To evaluate the morphometric characteristics of the shape of the glenoid cavity of the scapula. Methods: It was a cross-sectional analytical study in the department of Anatomy, Sylhet MAG Osmani Medical College, Sylhet from 1st July 2021 to 30th June 2022. Among 200dried, grossly normal scapulae 104 were male and 96 were female which was determined by the discriminative function analysis technique, and then grouping was done asmale and female. Purposive sampling technique was followed. Data was collecte dinapre-designed data collection sheet. The Measurement equipment was a digital Verniercaliper. Results: This study shows in right side, the pear shape was the most prevalent among both males (55.7%) and females (56.3%), followed by the oval shape (33.6% for males and 35.4% for females), while the inverted comma shape was the least common (6.7% for males and 8.3% for females). On the left side, the pear shape remained predominant among males (57.7%), whereas females exhibited a higher frequency of the oval shape (50.0%), with the pear shape at 47.9%. These findings suggest a general trend of pear shaped glenoid cavities in both genders, with notable variations in shape distribution between the sexes, particularly on the left side. Conclusion: In summary, the morphometric examination of glenoid cavity shapes indicated that pear shaped configurations were more prevalent in both male and female scapulae on the right side, whereas the left side showed a greater occurrence of oval-shaped glenoid among females. These differences imply possible anatomical variations related to sex and side, emphasizing the need to consider these factors in clinical evaluations and surgical procedures involving the shoulder joint. Additional research is needed to investigate the clinical significance of these results and their implications for shoulder-related conditions.
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Vijay, Shekhar Kumar, Laxmi Vineeta, and Kumar Bhavesh. "Prospective, Randomized Morphological Assessment of Variations in Shape of Coronoid Process of Adult Human Mandible." International Journal of Pharmaceutical and Clinical Research 14, no. 1 (2022): 432–36. https://doi.org/10.5281/zenodo.13864798.

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<strong>Aim:</strong>&nbsp;Morphological study of variations in shape of coronoid process of adult human mandible.&nbsp;<strong>Material and methods:&nbsp;</strong>This prospective, randomized, study was carried out in the Department of Anatomy, Government Medical College, Bettiah (W.Champaran), Bihar,India Shape of the coronoid processes of 50(100 sides) dry adult human mandibles were studied out of which 30 (60 sides) were of males and 20(40 sides) were of females. Male and Female bones were differentiated by noting standard morphological features. Different shapes of coronoid process observed are triangular, rounded, and hooked. The different shapes of coronoid process were compared for sexual dimorphism and difference on either side.&nbsp;<strong>Results:</strong>&nbsp;In present study it is observed that Triangular shape of coronoid process was present in 50 mandibles out of which, in 70% cases it was bilateral while in 30% cases it was unilateral. Hence, observation leads to the interpretation that triangular shape of is more commonly bilateral. In case of unilateral, eight coronoid process of right sides were triangular (corresponding side have 2 rounded shaped &amp; 5 hook shaped coronoid process). It was left side in 3 mandibles. It was of round shaped in 19 mandibles, out of which, in 47.37% cases it was bilateral mandibles and unilateral in 52.63% mandibles. In cases of unilateral side, it is present at three right and nine left side of mandible, The corresponding side of mandibles were two triangular shaped and one hooked shape in case of right side, while in cases of left side, five were triangular and four were hooked shape coronoid process.&nbsp;<strong>Conclusion:&nbsp;</strong>In present study it is found that hook shape of coronoid is most common in male mandibles followed by triangular and rounded shape. In case of female mandibles triangular shape is most common followed by hook and rounded shape. &nbsp; &nbsp;
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Sarkar, Arnab Kumar, Himanshu Rajbongshi, Sunandan Baruah, and Pranayee Datta. "Light Induced Synthesis of Ag Nanorods for Potential Application as Optical Filter Tailored to Visible Domain." Advanced Materials Research 1176 (April 28, 2023): 53–61. http://dx.doi.org/10.4028/p-10ge5f.

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Monodispersed Ag nanorods were synthesized using a one-pot synthesis method. These Ag nanorods normally manifest dual surface plasmon resonance (SPR) peaks. This work presents a study of the variation of SPR peaks with variation in the shape of Ag nanorods. Shape variation was achieved through the degradation of a shape-controlling agent (PVP in this work) under white light irradiance with silica passivation to halt further shape variations. This paper also reports the growth &amp; characterization of thin films of the synthesized rod-shaped silver nanoparticles on glass slides along with studies on band pass filter characteristics of the as-synthesized nanoparticles.
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TUNGMUNNITHUM, DUANGJAI, MANIT KIDYOO, and CHUMPOL KHUNWASI. "Morphological Variations in Hoya siamica Craib (Asclepiadaceae) in Thailand." Tropical Natural History 11, no. 1 (2011): 29–37. https://doi.org/10.58837/tnh.11.1.103010.

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Hoya siamica Craib is a climbing epiphytic plant belonging to the family Asclepiadaceae. Morphological variations were observed in 33 H. siamica samples collected from five floristic regions in Thailand and from 8 specimens kept in the BKF, BK, K and BCU herbaria representing a further 4 locations. This plant was found to have extremely variable vegetative and reproductive structures. Based on the qualitative morphological characters, H. siamica can be divided into five Forms that can be distinguished by their leaf shape and venation and the shape of the corona scale, pollinium and corpusculum. Form I has an obscure lateral vein, a long petiole, a broadly ovate and oblong-obovate shaped corpusculum and pollinium, respectively, whilst Forms II - V have a conspicuous lateral vein, short petiole, and an arrow head and narrowly oblong-obovate shaped corpusculum and pollinium, respectively. It is clear that “Form I” is distinguishable from the four others and the holotype and so may possibly be a cryptic species or variety of the Hoya siamica complex in Thailand. Although Forms II - V have some degree of variation in their leaf shape, corona shape and outer angle of corona between them, they nevertheless still share some important vegetative and reproductive characters. Thus, they may possibly simply be variable forms of the H. siamica complex in Thailand.
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Parashuram, Rajapur, and Uma Shivanal. "Morphometric study of adult human gall bladder in a cadaver and its clinical importance." Indian Journal of Clinical Anatomy and Physiology 8, no. 3 (2021): 202–7. http://dx.doi.org/10.18231/j.ijcap.2021.046.

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Extrahepatic biliary apparatus comprises of gall bladder, cystic duct, hepatic ducts and common bile duct. Gall Bladder is a pear shaped hollow organ, which are situated in contact with the under surface of right lobe of liver. In adult the length is between 7-10 cm, maximum breadth being 3 cm and with a maximum capacity of 50 ml. The morphological and morphometric variations of gall bladder are common. These variations are well studied and documented by the earlier studies but its precise morphological types and its incidence are utmost important during diagnostic and therapeutic procedures. Hence, comprehensive knowledge of variations of gall bladder will be important to avoid complications during surgical procedures and radiological interventions. The study was carried on 50 liver with Gallbladder specimens obtained from 10% formalin fixed cadavers of age group 50-60 years in the department of Anatomy. The gall bladder was observed, dissected carefully and studied for its parameters i.e. length and breadth using Vernier calipers. The variations in shape, its external morphological features and its position were also noted.52% of the gall bladder specimens had length ranging between 7 – 10cms. 68% of the specimens had transverse diameter ranging between 3 – 5cms. Various shapes observed were Pear shape, Hourglass shape, Retort shape, Cylindrical shape and Flask or Irregular shaped. The commonest shape observed and recorded in this study was Pear shaped in 26 specimens (52%). Folded fundus (Phrygian cap) of gall bladder was found in 2 out of 50 specimens (4%) and Hartmann’s pouch was found in 7 out of 50 specimens (14%).The precise knowledge of the various morphological and morphometric variants of the gall bladder is important for the operating Surgeons and Radiologists. The preoperative diagnosis of these variations helps to reduce the complications like bleeding and biliary leaks.
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Dissertations / Theses on the topic "Variations in shape"

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Veelo, Bastiaan Niels. "Variations of Shape in Industrial Geometric Models." Doctoral thesis, Norwegian University of Science and Technology, Department of Product Design, 2004. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-240.

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<p>This thesis presents an approach to free-form surface manipulations, which conceptually improves an existing CAD system that constructs surfaces by smoothly interpolating a network of intersecting curves. There are no regularity requirements on the network, which already yields superior modelling capabilities compared to systems that are based on industry-standard NURBS surfaces.</p><p>Originally, the shape of such a surface can be modified only locally by manipulating a curve in the network. In this process there is an inherent danger that the curve is being pulled away from intersections that it has with other curves. When this happens, the network is invalidated as a surface representation, and many curves may have to be adjusted to restore network consistency and surface quality. This thesis contributes a method that solves these problems by propagating changes that are made in one curve to curves in its vicinity. How and to what extent curves react to changes is controlled by two parameters that can be varied along the curve that is being manipulated. Any curve may be constrained in one or more degrees of freedom. The integrity of the curve network is implicitly conserved, as well as the geometric continuity of the surface.</p><p>The result is a tool for the modification of curve-interpolating surfaces, which can easily be applied to large areas on models with any level of detail. This allows designers to concentrate on the creative process, rather than on planning chains of actions. They can explore different design variations, optimise shapes further, and generally be more productive.</p><br><p>Dette doktorgradsarbeidet presenterer en fremgangsmåte for formgivning og modifisering av datamaskinbaserte, skulpturerte flater. Metoden forbedrer et eksisterende system for data-assistert konstruksjon (DAK) som bygger dobbeltkrummede flater ved å interpolere et nettverk av skjærende kurver. Nettverket trenger ikke være regelmessig, noe som allerede gir bedre modelleringsmuligheter sammenliknet med systemer som er basert på standard NURBS flater.</p><p>En slik flate kan opprinnelig bare endres lokalt ved å dra i en kurve. I denne prosessen er det fare for at kurven blir dratt fra skjæringspunkter den har med andre kurver. Hvis dette skjer, representerer ikke nettverket en flate lenger, og mange kurver må justeres for å få tilbake integriteten i nettverket og kvaliteten i formen. Denne avhandlingen bidrar med en metode som løser disse problemene ved å spre endringer som blir gjort i en kurve til andre kurver i nærheten. Hvordan og i hvilken utstrekning kurvene reagerer på endringen styres av to parametre som kan varieres langs kurven som blir endret. Enhver kurve kan låses i en eller flere frihetsgrader. Integriteten til nettverket samt glattheten i formen blir bevart automatisk.</p><p>Resultatet er et redskap for modifikasjon av kurve-interpolerende flater som med letthet kan brukes på større områder av modeller med hvilken som helst grad av detalj. Dette gir designere muligheten til å konsentrere seg om det kreative, istedenfor å planlegge handlingsrekker. De kan utforske forskjellige designvariasjoner, optimalisere former ytterligere, og i det hele tatt være mer produktive.</p>
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Zhang, Chao. "Learning non-rigid, 3D shape variations using statistical, physical and geometric models." Thesis, University of York, 2018. http://etheses.whiterose.ac.uk/22342/.

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3D shape modelling is a fundamental component in computer vision and computer graphics. Applications include shape interpolation and extrapolation, shape reconstruction, motion capture and mesh editing, etc. By "modelling" we mean the process of learning a parameter-driven model. This thesis focused on the scope of statistical modelling for 3D non-rigid shapes, such as human faces and bodies. The problem is challenging due to highly non-linear deformations, high dimensionality, and data sparsity. Several new algorithms are proposed for 3D shape modelling, 3D shape matching (computing dense correspondence) and applications. First, we propose a variant of Principal Component Analysis called "Shell PCA" which provides a physically-inspired statistical shape model. This is our first attempt to use a physically plausible metric (specifically, the discrete shell model) for statistical shape modelling. Second, we further develop this line of work into a fully Riemannian approach called "Shell PGA". We demonstrate how to perform Principal Geodesic Analysis in the space of discrete shells. To achieve this, we present an alternate formulation of PGA which avoids working in the tangent space and deals with shapes lying on the manifold directly. Unlike displacement-based methods, Shell PGA is invariant to rigid body motion, and therefore alignment preprocessing such as Procrustes analysis is not needed. Third, we propose a groupwise shape matching method using functional map representation. Targeting at near-isometric deformations, we consider groupwise optimisation of consistent functional maps over a product of Stiefel manifolds, and optimise over a minimal subset of the transformations for efficiency. Last, we show that our proposed shape model achieves state-of-the-art performance in two very challenging applications: handle-based mesh editing, and model fitting using motion capture data. We also contribute a new algorithm for human body shape estimation using clothed scan sequence, along with a new dataset "BUFF" for evaluation.
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Welch, Bryan William. "Shape Validation and RF Performance of Inflatable Antennas." Cleveland State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=csu1581609778706776.

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Aoyama, Taiki, Shota Fukumoto, and Hideyuki Azegami. "Shape optimization of continua using NURBS as basis functions." Springer, 2013. http://hdl.handle.net/2237/21124.

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Koumatos, Konstantinos. "The formation of microstructure in shape-memory alloys." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:1089932b-d36e-4414-b128-6f7bcfe9cdf3.

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The application of techniques from nonlinear analysis to materials science has seen great developments in the recent years and it has really been a driving force for substantial mathematical research in the area of partial differential equations and the multi-dimensional calculus of variations. This thesis has been motivated by two recent and remarkable experimental observations of H. Seiner in shape-memory alloys which we attempt to interpret mathematically. Much of the work is original and has given rise to deep problems in the calculus of variations. Firstly, we study the formation of non-classical austenite-martensite interfaces. Ball & Carstensen (1997, 1999) theoretically investigated the possibility of the occurrence of such interfaces and studied the cubic-to-tetragonal case extensively. In this thesis, we present an analysis of non-classical austenite-martensite interfaces recently observed by Seiner et al.~in a single crystal of a CuAlNi shape-memory alloy, undergoing a cubic-to-orthorhombic transition. We show that these can be described by the general nonlinear elasticity model and we make some predictions regarding the admissible volume fractions of the martensitic variants involved, as well as the habit plane normals. Interestingly, in the above experimental observations, the interface between the austenite and the martensitic configuration is never exactly planar, but rather slightly curved, resulting from the pattern of martensite not being exactly homogeneous. However, it is not clear how one can reconstruct the inhomogeneous configuration as a stress-free microstructure and, instead, a theoretical approach is followed. In this approach, a general method is provided for the construction of a compatible curved austenite-martensite interface and, by exploiting the structure of quasiconvex hulls, the existence of curved interfaces is shown in two and three dimensions. As far as the author is aware of, this is the first construction of such a curved austenite-martensite interface. Secondly, we study the nucleation of austenite in a single crystal of a CuAlNi shape-memory alloy consisting of a single variant of stabilized 2H martensite. The nucleation process is induced by localized heating and it is observed that, regardless of where the localized heating is applied, the nucleation points are always located at one of the corners of the sample - a rectangular parallelepiped in the austenite. Using a simplified nonlinear elasticity model, we propose an explanation for the location of the nucleation points by showing that the martensite is a local minimizer of the energy with respect to localized variations in the interior, on faces and edges of the sample, but not at some corners, where a localized microstructure can lower the energy. The result for the interior, faces and edges is established by showing that the free-energy function satisfies a set of quasiconvexity conditions at the stabilized variant throughout the specimen, provided this is suitably cut. The proofs of quasiconvexity are based on a rigidity argument and are specific to the change of symmetry in the phase transformation. To the best of the author's knowledge, quasiconvexity conditions at edges and corners have not been considered before.
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Gemmer, John Alan. "Shape Selection in the Non-Euclidean Model of Elasticity." Diss., The University of Arizona, 2012. http://hdl.handle.net/10150/223311.

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In this dissertation we investigate the behavior of radially symmetric non-Euclidean plates of thickness t with constant negative Gaussian curvature. We present a complete study of these plates using the Föppl-von Kármán and Kirchhoff reduced theories of elasticity. Motivated by experimental results, we focus on deformations with a periodic profile. For the Föppl-von Kármán model, we prove rigorously that minimizers of the elastic energy converge to saddle shaped isometric immersions. In studying this convergence, we prove rigorous upper and lower bounds for the energy that scale like the thickness t squared. Furthermore, for deformation with n-waves we prove that the lower bound scales like nt² while the upper bound scales like n²t². We also investigate the scaling with thickness of boundary layers where the stretching energy is concentrated with decreasing thickness. For the Kichhoff model, we investigate isometric immersions of disks with constant negative curvature into R³, and the minimizers for the bending energy, i.e. the L² norm of the principal curvatures over the class of W^2,2 isometric immersions. We show the existence of smooth immersions of arbitrarily large geodesic balls in H² into R³. In elucidating the connection between these immersions and the nonexistence/ singularity results of Hilbert and Amsler, we obtain a lower bound for the L^∞ norm of the principal curvatures for such smooth isometric immersions. We also construct piecewise smooth isometric immersions that have a periodic profile, are globally W^2,2, and numerically have lower bending energy than their smooth counterparts. The number of periods in these configurations is set by the condition that the principal curvatures of the surface remain finite and grow approximately exponentially with the radius of the disc.
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Sagga, Abdulhafiez Mohamed. "Variations in sand grain size and shape over barchan dunes in the Jafurah Desert, Saudi Arabia." Thesis, Lancaster University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.278433.

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Braun, Sandra. "Variations in the shape of the chin in South African using cone bean computed tomography scans." Diss., University of Pretoria, 2020. http://hdl.handle.net/2263/75035.

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In order to support identification of crime victims in South Africa, new methods need to be sought. If victim identification involving fingerprints, DNA or dental records are not possible, facial approximation is often the only alternative. In order to gain necessary background data for the identification of unknown individuals, e.g. for facial approximations, facial features of modern South Africans need to be investigated and shape-influencing factors identified. New imaging technologies have opened the possibility of including living, dentate individuals, as specimens in skeletal collections are often edentulous. The aim of this dissertation was to assess chin shape variation and the factors influencing it, in black and white South Africans. In the first part, the mental eminence was assessed by applying a morphoscopic sex estimation technique, to test its applicability to 105 dry mandibles from the Pretoria Bone Collection, and to the respective micro-focus X-ray computed tomography (micro-XCT) scans, obtained at the Nuclear Energy Corporation South Africa. Fleiss Kappa, Cohen’s Kappa and Wilcoxon Signed-Rank tests were applied. Score frequencies and observer performance were analysed. In the second part, the chin shape was assessed by quantifying its morphology, applying geometric morphometric methods to 291 retrospectively collected CBCT scans. The scans were obtained for medical reasons from dental patients, at the Oral and Dental Hospital, University of Pretoria. The possible influences of ancestry, sex, age and allometry on the chin shape were tested, using MAN(C)OVA, 50-50 MANOVA, permutation tests and discriminant function analysis (DFA) on the x-, y- and z-coordinates of the anatomical landmarks. The morphoscopic method to estimate sex on the mental eminence, originally applied to bone, was found to be applicable to micro-XCT scans as well, and observer performance did not vary greatly between the two modalities. However, an observer’s personal affinity to assess 3D images, the level of experience and tendency to over- or underscore in one of the two modalities cannot be excluded and should be individually tested. The chins of black females and white males had the highest probabilities of correct sex estimation. Ancestry, age and allometry were significant chin shape influencing factors in the complete sample. In addition, ancestry influenced the chin shape significantly within the sex groups, allometry within the ancestral groups. Sexual dimorphism significantly influenced chin shape in the complete sample on the bony menton and in the ancestral groups. Most results from both parts of the study concurred, except the influence of age. With the increasing availability of imaging techniques in forensic anthropology, researchers are motivated to look for new, and validate existing, methods in 3D. By assessing the applicability of a morphoscopic sex estimation technique to micro-XCT scans, and by investigating the chin shape variation using CBCT scans, the present study contributed to the quantifiable biological profiling methods involving 3D imaging techniques in South Africa. This study could encourage further research on all five traits of the morphoscopic method in bone and 3D surfaces, and of the soft-tissue shape of the chin in the same populations.<br>Dissertation (MSc)--University of Pretoria, 2020.<br>Anatomy<br>MSc (Anatomy)<br>Unrestricted
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Delyon, Alexandre. "Shape Optimisation Problems Around the Geometry of Branchiopod Eggs." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0123.

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Dans cette thèse nous nous intéressons à un problème de mathématiques appliquées à la biologie. Le but est d'expliquer la forme des œufs d'Eulimnadia, un petit animal appartenant à la classe des Branchiopodes, et plus précisément les Limnadiides. En effet, d'après la théorie de l'évolution il est raisonnable de penser que la forme des êtres vivants où des objets issus d'êtres vivants est optimisée pour garantir la survie et l'expansion de l'espèce en question. Pour ce faire nous avons opté pour la méthode de modélisation inverse. Cette dernière consiste à proposer une explication biologique à la forme des œufs, puis de la modéliser sous forme d'un problème de mathématique, et plus précisément d'optimisation de forme, que l'on cherche à résoudre pour enfin comparer la forme obtenue à la forme réelle des œufs. Nous avons étudié deux modélisations, l'une amenant à des problèmes de géométrie et de packing, l'autre à des problèmes d'optimisation de forme en élasticité linéaire. Durant la résolution du premier problème issue de la modélisation, une autre question mathématique s'est naturellement posée à nous, et nous sommes parvenus à la résoudre, donnant lieu à l'obtention du diagramme de Blaschke Santalo (A,D,r) complet. En d'autre mots nous pouvons répondre à la question suivante : étant donné trois nombres A,D, et r positifs, est-il possible de trouver un ensemble convexe du plan dont l'aire est égale à A, le diamètre égal à D, et le rayon du cercle inscrit égal à r ?<br>In this thesis we are interested in a problem of mathematics applied to biology. The aim is to explain the shape of the eggs of Eulimnadia, a small animal belonging to the class Branchiopods}, and more precisely the Limnadiidae. Indeed, according to the theory of evolution it is reasonable to think that the shape of living beings or objects derived from living beings is optimized to ensure the survival and expansion of the species in question. To do this we have opted for the inverse modeling method. The latter consists in proposing a biological explanation for the shape of the eggs, then modeling it in the form of a mathematical problem, and more precisely a shape optimisation problem which we try to solve and finally compare the shape obtained to the real one. We have studied two models, one leading to geometry and packing problems, the other to shape optimisation problems in linear elasticity. After the resolution of the first modeling problem, another mathematical question naturally arose to us, and we managed to solve it, resulting in the complete Blaschke-Santalò (A,D,r) diagram. In other words we can answer the following question: given three positive numbers A,D, and r, and it is possible to find a convex set of the plane whose area is equal to A, diameter equal to D, and radius of the inscribed circle equal to r
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Della, Porta Francesco M. G. "Selection mechanisms for microstructures and reversible martensitic transformations." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:085f0e90-6d07-4cb6-9bb9-13517de1b65e.

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The work in this thesis is inspired by the fabrication of Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub>. This is the first alloy undergoing ultra-reversible martensitic transformations and closely satisfying the cofactor conditions, particular conditions of geometric compatibility between phases, which were conjectured to influence reversibility. With the aim of better understanding reversibility, in this thesis we study the martensitic microstructures arising during thermal cycling in Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub>, which are complex and different in every phase transformation cycle. Our study is developed in the context of continuum mechanics and nonlinear elasticity, and we use tools from nonlinear analysis. The first aim of this thesis is to advance our understanding of conditions of geometric compatibility between phases. To this end, first, we further investigate cofactor conditions and introduce a physically-based metric to measure how closely these are satisfied in real materials. Secondly, we introduce further conditions of compatibility and show that these are nearly satisfied by some twins in Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub>. These might influence reversibility as they improve compatibility between high and low temperature phases. Martensitic phase transitions in Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub> are a complex phenomenon, especially because the crystalline structure of the material changes from a cubic to a monoclinic symmetry, and hence the energy of the system has twelve wells. There exist infinitely many energy-minimising microstructures, limiting our understanding of the phenomenon as well as our ability to predict it. Therefore, the second aim of this thesis is to find criteria to select physically-relevant energy minimisers. We introduce two criteria or selection mechanisms. The first involves a moving mask approximation, which allows one to describe some experimental observations on the dynamics, while the second is based on using vanishing interface energy. The moving mask approximation reflects the idea of a moving curtain covering and uncovering microstructures during the phase transition, as appears to be the case for Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub>, and many other materials during thermally induced transformations. We show that the moving mask approximation can be framed in the context of a model for the dynamics of nonlinear elastic bodies. We prove that every macroscopic deformation gradient satisfying the moving mask approximation must be of the form 1 + a(x) ⊗ n(x), for a.e. x. With regards to vanishing interface energy, we consider a one-dimensional energy functional with three wells, which simplifies the physically relevant model for martensitic transformations, but at the same time highlights some key issues. Our energy functional admits infinitely many minimising gradient Young measures, representing energy-minimising microstructures. In order to select the physically relevant ones, we show that minimisers of a regularised energy, where the second derivatives are penalised, generate a unique minimising gradient Young measure as the perturbation vanishes. The results developed in this thesis are motivated by the study of Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub>, but their relevance is not limited to this material. The results on the cofactor conditions developed here can help for the understanding of new alloys undergoing ultra-reversible transformations, and as a guideline for the fabrication of future materials. Furthermore, the selection mechanisms studied in this work can be useful in selecting physically relevant microstructures not only in Zn<sub>45</sub>Au<sub>30</sub>Cu<sub>25</sub>, but also in other materials undergoing martensitic transformations, and other phenomena where pattern formation is observed.
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Books on the topic "Variations in shape"

1

Hildebrandt, Stefan. The parsimonious universe: Shape and form in the natural world. Copernicus, 1996.

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Pironneau, Olivier, Arrigo Cellina, Luc Tartar, Bernhard Kawohl, Jean-Paul Zol sio, and Ant nio Ornelas. Optimal Shape Design: Lectures given at the joint C.I.M./C.I.M.E. Summer School held in Tr ia, Portugal, June 16, 1998. Springer-Verlag, 2000.

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C, Ostowari, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., eds. Additional flow field studies of the GA(W)-1 airfoil with 30-percent chord Fowler flap including slot-gap variations and cove shape modifications. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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Bucur, Dorin, and Giuseppe Buttazzo. Variational Methods in Shape Optimization Problems. Birkhäuser Boston, 2005. http://dx.doi.org/10.1007/b137163.

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P, Zolésio J., and Working Conference "Boundary Control and Boundary Variation" (5th : 1992 : Sophia-Antipolis, France), eds. Boundary control and variation. M. Dekker, 1994.

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Rising, Jim. Geographic variation in size and shape of Savannah Sparrows (Passerculus sandwichensis). Cooper Ornithological Society, 2001.

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Rising, Jim. Geographic variation in size and shape of Savannah Sparrows (Passerculus sandwichensis). Cooper Ornithological Society, 2001.

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Howells, W. W. Skull shapes and the map: Craniometric analyses in the dispersion of modern Homo. Peabody Museum of Archaeology and Ethnology, Harvard University, 1989.

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Howells, W. W. Skull shapes and the map: Craniometric analyses in the dispersion of modern Homo. Peabody Museum of Archaeology and Ethnology, Harvard University, 1989.

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IFIP WG 7.2 Conference (1990 Sophia-Antipolis, France). Boundary control and boundary variation: Proceedings of IFIP WG 7.2 Conference, Sophia-Antipolis, France, October 15-17, 1990. Springer-Verlag, 1992.

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Book chapters on the topic "Variations in shape"

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Pinkall, Ulrich, and Oliver Gross. "Variations of Surfaces." In Compact Textbooks in Mathematics. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-39838-4_12.

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AbstractWe derive the basics of Vector Calculus on surfaces and explore variations of surfaces. In particular, we compute the variational derivative of the area form $$\det $$ det and of the shape operator A. We show that the critical points of the area functional are the surfaces with mean curvature $$H=0$$ H = 0 .
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Oprea, John. "The calculus of variations and shape." In The Mathematics of Soap Films: Explorations with Maple®. American Mathematical Society, 2000. http://dx.doi.org/10.1090/stml/010/04.

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Gaudio, Paola. "2. Who Cares What Shape the Red Room is?" In Prismatic Jane Eyre. Open Book Publishers, 2023. http://dx.doi.org/10.11647/obp.0319.05.

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The aim of this essay is to identify patterns of textual variation that affect both the source text(s) and its translations. Starting with the substitution of the word ‘spare’ with ‘square’ in the ‘red-room’ episode, textual variations are analysed in a selection of English editions of Charlotte Brontë’s Jane Eyre published by prestigious publishing houses such as Collins, Harper, Oxford, Norton Critical, and Penguin―from the second half of the nineteenth-century to the most recent editions, including e-books (Amazon) and *.txt files (Project Gutenberg). Variations in English editions are compared against the original Brontë’s manuscript (1847) and tracked down in eleven Italian translations.
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Pironneau, Olivier. "Optimal shape design by local boundary variations." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0106744.

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Suzuki, H., K. Kase, K. Kato, and F. Kimura. "Physically Based Modelling for Evaluating Shape Variations." In Computer-aided Tolerancing. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1529-9_10.

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Leon, Noel, Jose Cueva, Cesar Villarreal, Sergio Hutron, and German Campero. "Automatic shape variations for optimization and innovation." In IFIP The International Federation for Information Processing. Springer US, 2007. http://dx.doi.org/10.1007/978-0-387-75456-7_18.

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Danielsson, Per-Erik, and Qingfen Lin. "A New Shape Space for Second Order 3D-Variations." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45129-3_12.

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Deshmukh, Amit A., and Divya Singh. "Design of Plus-Shape Microstrip Antenna Variations for Enhanced Wideband Response." In Lecture Notes on Data Engineering and Communications Technologies. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-1002-1_24.

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Ambekar, Aarti G., Amit A. Deshmukh, Shefali Pawar, and K. P. Ray. "Dual Polarized Variations of P-Shape Microstrip Antenna Loaded with Stub." In Lecture Notes on Data Engineering and Communications Technologies. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-1002-1_27.

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Lin, Qingfen, and Per-Erik Danielsson. "Stenosis Detection Using a New Shape Space for Second Order 3D-Variations." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45729-1_39.

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Conference papers on the topic "Variations in shape"

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Mirnaziry, Sayyed Reza, Mohammad Ali Shameli, and Mohammad Danaeifar. "Impact of Shape Variations on Thermo-Optical Response of Selected PhC Absorbers in Solar Thermophotovoltaic Converters." In 2025 12th Iranian Conference on Renewable Energies and Distributed Generation (ICREDG). IEEE, 2025. https://doi.org/10.1109/icredg66184.2025.10966142.

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Mo, Kaichun, Paul Guerrero, Li Yi, et al. "StructEdit: Learning Structural Shape Variations." In 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2020. http://dx.doi.org/10.1109/cvpr42600.2020.00888.

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Alrjebi, Mustafa M., Wanquan Liu, and Ling Li. "Face Recognition against Mouth Shape Variations." In 2015 International Conference on Digital Image Computing: Techniques and Applications (DICTA). IEEE, 2015. http://dx.doi.org/10.1109/dicta.2015.7371259.

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Wang, Xilu, and Xiaoping Qian. "A Taylor Expansion Approach for Computing Structural Performance Variation Over a Shape Population." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59561.

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In this paper, we present a formal and efficient method for computing structural performance variation over its shape population. Each shape in the population is represented as discrete points. These shapes are then aligned together and principal component analysis is conducted to obtain the shape variation, which is represented as a sum of variations in multiple principal modes. Finite element analysis is conducted on the mean shape. For each shape specified by the shape parameters, we then invoke a thin-plate deformation based scheme to automatically deform the mesh nodes. The performance of the shapes is approximated via Taylor series expansion of the FE solution of the mean shape. Numerical study illustrates the accuracy and efficiency of this method.
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KOGANTI, GOPICHAND, and GENE HOU. "CONTROL-STRUCTURES INTEGRATED DESIGN OPTIMIZATION WITH SHAPE VARIATIONS." In 34th Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-1468.

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Leoviriyakit, Kasidit, and Antony Jameson. "Aerodynamic Shape Optimization of Wings Including Planform Variations." In 41st Aerospace Sciences Meeting and Exhibit. American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-210.

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Ramanathan, Narayanan, and Rama Chellappa. "Modeling shape and textural variations in aging faces." In Gesture Recognition (FG). IEEE, 2008. http://dx.doi.org/10.1109/afgr.2008.4813337.

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Ghidotti, Anna, Daniele Regazzoni, Miri Weiss Cohen, and Vincenzo Condello. "A Statistical Shape Model of Femur of ACL-Injured Knee." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-142809.

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Abstract Injuries to the anterior cruciate ligament (ACL) are common among active populations. The shape and anatomical variations of the bones are directly related to the function of the ACL, and therefore are considered to be risk factors for injury. This research aims to delineate the key patterns of shape variation in femurs affected by ACL injuries through the application of Statistical Shape Modelling (SSM). SSM is applied to 50 distal femur models and their modes of variations are described. Ten morphologically significant parameters of the distal femur bone are selected and measured on a 3D model of the mean femur, as well as the −3SD and +3SD shapes of the first three principal components (PCs). The first principal component reflects the variation in size of the femur. The second principal component is mainly related to the width of the notch. A variation in the height of the medial posterior condyle is observed in the third principal component. Nevertheless, it is not as significant as with the first two PCs. The study presents a statistical shape model for characterizing the fundamental modes of geometric variation in femoral bones following an ACL injury. Knowing the bony morphological features associated with ACL injuries is crucial to tailoring treatment plans to each individual.
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Devanne, Maxime, Hazem Wannous, Mohamed Daoudi, Stefano Berretti, Alberto Del Bimbo, and Pietro Pala. "Learning shape variations of motion trajectories for gait analysis." In 2016 23rd International Conference on Pattern Recognition (ICPR). IEEE, 2016. http://dx.doi.org/10.1109/icpr.2016.7899749.

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Kouchi, Makiko, and Masaaki Mochimaru. "Inter-individual Variations in Intra-individual Shape Change Patterns." In 2006 Digital Human Modeling for Design and Engineering Conference. SAE International, 2006. http://dx.doi.org/10.4271/2006-01-2353.

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Reports on the topic "Variations in shape"

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Jablonski, David. DTRT57-09-C-10046 Digital Imaging of Pipeline Mechanical Damage and Residual Stress. Pipeline Research Council International, Inc. (PRCI), 2010. http://dx.doi.org/10.55274/r0011872.

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The purpose of this program was to enhance the characterization of mechanical damage in pipelines through the application of digital eddy current imaging. Lift-off maps can be used to develop quantitative representations of mechanical damage and magnetic permeability maps can be used to determine residual stress patterns around mechanical damage sites. Note that magnetic permeability is also affected by microstructure variations due to plastic deformation and plowing. High-resolution digital images provide an opportunity for automated analysis of both size and shape of damage and a permanent archival record that can be compared against future measurements to detect changes in size or shape of the damage. Also, multiple frequency measurements will enable volumetric and even through-wall imaging at mechanical damage sites to support further risk assessment efforts.
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Yogo, Edouard Epiphane. The Role of Populism in Redefining Citizenship and Social Inclusion for Migrants in Europe. European Center for Populism Studies (ECPS), 2025. https://doi.org/10.55271/pp0048.

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This research examines the influence of populism on the redefinition of citizenship and social inclusion for migrants in Europe. It explores how populist movements leverage anti-immigrant sentiments to shape political discourse, laws, and societal attitudes. The study combines qualitative interviews with policymakers, activists, and migrants, and quantitative data from national surveys to analyze changes in citizenship laws and social inclusion challenges. Through case studies, it highlights variations in populist influence across European countries. The research concludes with policy recommendations aimed at fostering a more inclusive European society amidst rising populism. Keywords: Populism, citizenship, social inclusion, migration dynamics, European societies
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Maguranyanga, Caleb, Keen Marozva, Ian Scoones, and Toendepi Shonhe. The Political Economy of Land Use and Land Cover Change in Mvurwi Area Zimbabwe, 1984–2018. APRA, Future Agricultures Consortium, 2021. http://dx.doi.org/10.19088/apra.2021.001.

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An analysis of the variations in land use and land cover over the past four decades in the Mvurwi area, Mazowe district, Zimbabwe illustrates how socio-economic dynamics and natural factors combine to shape environmental change. Land use and cover changes (LULCC) were assessed using a combination of quantitative analysis (satellite imagery) of land cover and a grounded analysis of the social, economic and political factors. Explanations for the changes observed in this study highlight social, economic and political drivers that have changed over time. A simple, linear explanation of land use and land cover change is inappropriate as multiple drivers intersect, and environmental change must always be understood as co-constituted with social dynamics and political economy.
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Bokasola, Yannick, Eddy Junior Ngwakoyo, Gayatri Sahgal, and Vanessa van den Boogaard. Informality, Tax, and Markets in Kinshasa: Everyday Realities and Resistance. Institute of Development Studies, 2025. https://doi.org/10.19088/ictd.2025.033.

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This paper explores the everyday realities of taxation in Kinshasa’s markets, which play a crucial role in revenue generation and sustaining the livelihoods of the local population. Understanding market taxation in this context is critical given the plurality of state and non-state institutions and actors which govern markets and engage in revenue extraction. The study draws on qualitative data collected from eight formal, informal, and customary markets in Kinshasa. The research documents the experiences of market vendors, their perceptions of taxation, and how these perceptions shape interactions with the state and affect their willingness to pay taxes while also capturing the variations in everyday experiences based on structural differences in market governance. We find that market vendors are subject to multiple layers of formal and informal taxation, and there is a pervasiveness of coercive tax collection practices and informality in the administration of taxes. Correspondingly, vendors widely view market-based taxation as unfair, though some likewise report greater willingness to pay informal taxes because they see tangible benefits. Formal taxes are perceived as offering few returns. In this context, everyday resistance to taxation is common, but given the vulnerable positions of most vendors and the limited channels for accountability, the paper finds few instances of a broader challenge to the tax systems or demands for reform. The study also finds distinct differences in the tax collection experiences across formal, informal, and customary markets, with market taxation led by customary authorities eliciting a greater sense of fairness and voluntary compliance. These findings contribute to the wider literature on informal institutions and taxation, providing a case study of the everyday experiences of both market vendors and tax collectors and documenting the micro-level dynamics that shape tax morale, perceptions of fairness, and resistance in a context of pluralised tax and governance authority.
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Auciello-Estévez, Iván, Josep Pijoan-Mas, Pau Roldan-Blanco, and Federico Tagliati. Dual labor markets in Spain:a firm-side perspective. Banco de España, 2023. http://dx.doi.org/10.53479/29869.

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Using comprehensive balance-sheet data for Spain, we document the use of fixed-term and open-ended contracts by firms over the period 2004-2019. We show that the use of temporary contracts is very heterogeneous across firms, with the distribution of the temporary share being severely right-skewed: the median share of temporary employment is only 3%, while the average is 18%. Part of this variation is related to the sector and region where firms operate as well as to the macroeconomic cycle. However, around 80% of the variation reflects differences across firms operating in the same industry, in the same location and at the same point of the business cycle. At the individual level, even after controlling for sector and region, we observe that larger and younger firms make more extensive use of temporary contracts.
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Katsube, T. J., D. R. Issler, J. Loman, and W. C. Cox. Apparent formation-factor and porosity variation with pressure for Cretaceous shale of the Western Canada Sedimentary Basin, southern Alberta. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2000. http://dx.doi.org/10.4095/211600.

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Frisancho, Verónica, Alejandro Herrera, and Eduardo Nakasone. Does Gender and Sexual Diversity Lead to Greater Conflict in the School? Inter-American Development Bank, 2022. http://dx.doi.org/10.18235/0004451.

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This paper analyzes the relationship between the presence of LGBTQI students in the class-room and the prevalence of violence in the school setting. We rely on a representative sample of secondary schools in Uruguay and exploit variation in the share of LGBTQI students across classrooms to study how their presence affects the individual experience of violence. Our results show little support for the contact hypothesis: a larger share of LGBTQI students in the classroom has no impact on the individual experience of violence. On the contrary, a greater share of female LGBTQI students in the classroom is associated with greater psychological and physical violence among girls, irrespective of their gender identity or sexual orientation.
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Zuccarelli, N., C. M. Lesher, M. G. Houlé, and R. Weston. Textural variations in the Eagle's Nest Ni-Cu-(PGE) deposit in Ontario and implications for magma dynamics in a blade-shaped dike. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2018. http://dx.doi.org/10.4095/308255.

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Frisancho, Verónica, Alejandro Herrera, and Eduardo Nakasone. Does Gender and Sexual Diversity Lead to Greater Conflict in the School? Inter-American Development Bank, 2022. http://dx.doi.org/10.18235/0004609.

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Diversity in gender identity and sexual orientation challenges traditional institutions, social norms, and gendered stereotypes. This may translate into greater levels of conflict in society. Using data from 95 middle and high schools in Uruguay, we exploit plausibly exogenous variation in the share of LGBT students across classrooms and estimate its impact on the prevalence of psychological, physical, and sexual violence in the school. On average, we do not find support for a strong link between the share of LGBT students in the classroom and the prevalence of violence, yet we show that there are gendered effects of greater diversity: a larger share of LGBT students in the classroom is associated with greater levels of psychological and physical violence among LGBT girls.
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Брошко, Євгеній Олегович. Variability of Structural and Biomechanical Prameters of Pelophylax esculentus (Amphibia, Anura) Limb Bones. Vestnik zoologii, 2014. http://dx.doi.org/10.31812/0564/1529.

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Structural and biomechanical parameters of Edible Frog, Pelophylax esculentus (Linnaeus, 1758), limb bones, namely, mass, linear dimensions, parameters of the shaft ’s cross-sectional shape (cross-sectional area, moments of inertia, radiuses of inertia) were investigated. Some coeffi cients were also estimated: diameters ratio (df/ds), cross-sectional index (ik), principal moments of inertia ratio (Imax/Imin). Coeffi cients of variation of linear dimensions (11.9–20.0 %) and relative bone mass (22–35 %) were established. Moments of inertia of various bones are more variable (CV = 41.67–56.35 %) in relation to radii of inertia (CV = 9.68–14.67 %). Shaft ’s cross-sectional shape is invariable in all cases. However, there is high individual variability of structural and biomechanical parameters of P. esculentus limb bones. Variability of parameters was limited by the certain range.We suggest the presence of stable norm in bone structure. Stylopodium bones have the primary biomechanical function among the elements of limb skeleton, because their parameters most clearly responsiveto changes in body mass.
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