Academic literature on the topic '3D displacement'

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Journal articles on the topic "3D displacement"

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Hu, Jun, Jianwen Shi, Jihong Liu, Wanji Zheng, and Kang Zhu. "Calculating Co-Seismic Three-Dimensional Displacements from InSAR Observations with the Dislocation Model-Based Displacement Direction Constraint: Application to the 23 July 2020 Mw6.3 Nima Earthquake, China." Remote Sensing 14, no. 18 (2022): 4481. http://dx.doi.org/10.3390/rs14184481.

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As one of the most prevailing geodetic tools, the interferometric synthetic aperture radar (InSAR) technique can accurately obtain co-seismic displacements, but is limited to the one-dimensional line-of-sight (LOS) measurement. It is therefore difficult to completely reveal the real three-dimensional (3D) surface displacements with InSAR. By employing azimuth displacement observations from pixel offset tracking (POT) and multiple aperture InSAR (MAI) techniques, 3D displacements of large-magnitude earthquakes can be obtained by integrating the ascending and descending data. However, this metho
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Milosevic, Milos, Nenad Mitrovic, Vesna Miletić, Uroš Tatic, and Andrea Ezdenci. "Analysis of Composite Shrinkage Stresses on 3D Premolar Models with Different Cavity Design Using Finite Element Method." Key Engineering Materials 586 (September 2013): 202–5. http://dx.doi.org/10.4028/www.scientific.net/kem.586.202.

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Local polymerization stress occurs due to polymerization shrinkage of resin based composites adhesively bonded to tooth tissues. Shrinkage causes local displacements of cavity walls, with possible occurrence of micro-cracks in the enamel, dentin and/or material itself. In order to design a cavity for experimental testing of polymerization shrinkage of dental composites using 3D optical analysis, in this paper finite element method (FEM) was used to analyze numerical models with different cavity radiuses. 3D optical strain and displacement analysis of composite materials and cavity walls is lim
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Lanovaz, Joel L., Siriporn Khumsap, and Hilary M. Clayton. "Quantification of three-dimensional skin displacement artefacts on the equine tibia and third metatarsus." Equine and Comparative Exercise Physiology 1, no. 2 (2004): 141–50. http://dx.doi.org/10.1079/ecep200415.

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AbstractRoutine study of three-dimensional (3D) tarsal kinematics is hampered by errors due to the displacement of skin surface-tracking markers relative to the underlying bones. Reliable kinematics can be obtained with bone-fixed markers, but an accurate, non-invasive method would have more applications. Simultaneous kinematic data from skin-based and bone-fixed markers attached to the tibia and third metatarsus were collected from three trotting subjects. The motion of the skin-based markers was extracted relative to the underlying bone motion tracked using the bone-fixed markers. The 3D ski
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Li, Yiran, Dong Zhao, Xueyi Ma, Jianzhong Zhang, and Jian Zhao. "Panoramic Digital Image Correlation for 360-Deg Full-Field Displacement Measurement." Applied Sciences 13, no. 3 (2023): 2019. http://dx.doi.org/10.3390/app13032019.

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In full-field 3D displacement measurement, stereo digital image correlation (Stereo-DIC) has strong capabilities. However, as a result of difficulties with stereo camera calibration and surface merging, 360-deg panoramic displacement measurements remain a challenge. This paper proposes a panoramic displacement field measurement method in order to accurately measure the shape and panoramic displacement field of complex shaped objects with natural textures. The proposed method is based on the robust subset-based DIC algorithm and the well-known Zhang’s calibration method to reconstruct the 3D sh
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Hsu, Cheng Chih, Ju Yi Lee, C. C. Wu, and H. C. Shih. "3D Displacement Measurement with Pico-Meter Resolution Using Single Heterodyne Grating Interferometry." Key Engineering Materials 381-382 (June 2008): 283–86. http://dx.doi.org/10.4028/www.scientific.net/kem.381-382.283.

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The precision positioning device becomes significant requirement in scientific instruments used for the applications of nanotechnology for a few decades. To achieve the high resolution positioning, the sensing methods of displacement sensor become more important in positioning device. In this paper, a novel method is presented for measuring both in-plane/out-plane displacements with the single heterodyne grating interferometry (HGI). We demonstrated the 1D, 2D, and 3D measurement results respectively and the smallest displacement can be detected was better than 6 pm. Furthermore, the nanometer
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Daniel, S. E., A. Aref, C. Rabbani, et al. "Three-dimensional visualization of stranded source migration following prostate brachytherapy." Journal of Clinical Oncology 29, no. 7_suppl (2011): 79. http://dx.doi.org/10.1200/jco.2011.29.7_suppl.79.

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79 Background: The use of radioactive seeds embedded in absorbable vicryl suture material has emerged as one preferred method for prostate cancer brachytherapy. However, it is unclear how strand displacement affects post-implant dosimetry. Our objective was to use CT imaging and 3D reconstruction to determine strand displacement between day zero and day 30 and to assess the dosimetric consequences of strand displacement. Methods: Between March 2006 and December 2009 there were 86 prostate brachytherapy patients with day zero and day 30 post-plan imaging. There was a mean of 18.24 strands per i
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Wang, Yanqiang, Jun Zhao, Zhongqin Li, et al. "Retrieving and Verifying Three-Dimensional Surface Motion Displacement of Mountain Glacier from Sentinel-1 Imagery Using Optimized Method." Water 13, no. 13 (2021): 1793. http://dx.doi.org/10.3390/w13131793.

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The time series study of glacier movement is of special importance for rational management of freshwater resources, studying glacier evolution, understanding mechanism of glacier movement, and assessing disasters caused by glacier movement. In this paper, we put forward an optimization scheme for the shortcomings in the calculation method of using remote sensing to invert the three-dimensional (3D) surface motion displacement of glacier. The optimized method consists of Offset Tracking method, Optimizing the offset tracking results by means of iterative filtering, OT-SBAS technology and Conver
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Wei, Gang, Jie Hong, and Xin Jiang Wei. "3D Analytical Solution of Soil Deformation Induced by Shield Tunnelling Construction." Advanced Materials Research 261-263 (May 2011): 1814–19. http://dx.doi.org/10.4028/www.scientific.net/amr.261-263.1814.

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Three-dimensional (3D) analytical solution of soil deformation induced by ground loss in shield tunnelling construction was researched. It is put forward that the ground loss ratio is not a fixed value, but changes in driving direction. The calculation formula of ground loss ratio in driving direction was deduced. Based on two-dimensional (2D) analytical solution of uniform ground movement model of shield tunnelling, the three-dimensional analytical solution of ground deformation induced by ground loss is deduced. The settlement in vertical direction and the displacement in lateral horizontal
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FUJIGAKI, Motoharu. "3D Shape and Displacement Distribution Measurement." JOURNAL OF THE JAPAN WELDING SOCIETY 84, no. 1 (2015): 90–95. http://dx.doi.org/10.2207/jjws.84.90.

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Yang, Dong Quan, and Hong Peng. "Elasto-Plastic Analysis of Frame Structures under Large Displacement-Rotation Deformations." Advanced Materials Research 243-249 (May 2011): 5968–74. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.5968.

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A finite element program for elasto-plastic analysis of 3D beams and frame structures under large displacement/rotations is developed. The element is Timoshenko beam element based on mechanics of continuum. Constitutive equations for large displacements/rotations in elastic stage are expressed in an explicit way which is suitable for programming. The modification of constitutive equation is presented for the analysis of elasto-plastic problems. A fiber model is adopted for the calculation of stiffness matrix and internal forces. For solution of nonlinear finite element equations, general displ
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Dissertations / Theses on the topic "3D displacement"

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Cornille, Olivier. "Accurate 3D shape and displacement measurement using a scanning electron microscope." Toulouse, INSA, 2005. http://www.theses.fr/2005ISAT0021.

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Avec le développement actuel des nano-technologies, la demande en matière d'étude du comportement des matériaux à des échelles micro ou nanoscopique ne cesse d'augmenter. Pour la mesure de forme ou de déformations tridimensionnelles à ces échelles de grandeur, l'acquisition d'images à partir d'un Microscope électronique à Balayage (MEB) couplée à l'analyse par corrélation d'images numériques s'est avérée une technique intéressante. Cependant, un MEB est un outil conçu essentiellement pour de la visualisation et son utilisation pour des mesures tridimensionnelles précises pose un certain nombre
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Cornille, Nicolas. "Accurate 3D Shape and Displacement Measurement using a Scanning Electron Microscope." Phd thesis, INSA de Toulouse, 2005. http://tel.archives-ouvertes.fr/tel-00166423.

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Avec le développement actuel des nano-technologies, la demande en matière d'étude du comportement des matériaux à des échelles micro ou nanoscopique ne cesse d'augmenter. Pour la mesure de forme ou de déformation tridimensionnelles à ces échelles de grandeur, l'acquisition d'images à partir d'un Microscope Électronique à Balayage (MEB) couplée à l'analyse par corrélation d'images numériques s'est avérée une technique intéressante. Cependant, un MEB est un outil conçu essentiellement pour de la visualisation et son utilisation pour des mesures tridimensionnelles précises pose un certain nombre
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Shao, Yanda. "Computer Vision-Based Three-dimensional (3D) Vibration Displacement Measurement for Civil Structures." Thesis, Curtin University, 2021. http://hdl.handle.net/20.500.11937/86762.

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This thesis proposes a novel computer vision-based target-free full-field 3D displacement measurement for civil engineering. Two cameras are combined as a binocular camera system to acquire the vibration video of civil structures. Some state-of-the-art methods including deep learning in the computer vision area are applied to realize target-free, full-field and tiny displacement measurements. A series of experimental tests and an in-field vibration test are conducted to validate the proposed vision measurement system.
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Lundgren, Mikael, and Ermin Hrkalovic. "Review of Displacement Mapping Techniques and Optimization." Thesis, Blekinge Tekniska Högskola, Sektionen för datavetenskap och kommunikation, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-4424.

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This paper explores different bump mapping techniques and their implementation. Bump mapping is a technique that is used in computer games to make simple 3D objects look more detailed than what they really are. The technique involves using a texture to change the objects normals to simulate bumps and is used to avoid rendering high polygonal objects. Over the years some different techniques have been developed based on bump mapping, these are normal mapping, relief mapping, parallax occlusion mapping, quadtree displacement mapping and so on. The first part of this paper we go through our goals
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Petersson, Tommy, and Marcus Lindeberg. "Performance aspects of layered displacement blending in real time applications." Thesis, Blekinge Tekniska Högskola, Sektionen för datavetenskap och kommunikation, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3542.

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The purpose of this thesis is to investigate performance aspects of layered displacement blending; a technique used to render realistic and transformable objects in real time rendering systems using the GPU. Layered displacement blending is done by blending layers of color maps and displacement maps together based on values stored in an influence map. In this thesis we construct a theoretical and practical model for layered displacement blending. The model is implemented in a test bed application to enable measuring of performance aspects. The implementation is fed input with variations in tri
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Mäkynen, A. (Anssi). "Position-sensitive devices and sensor systems for optical tracking and displacement sensing applications." Doctoral thesis, University of Oulu, 2000. http://urn.fi/urn:isbn:9514257804.

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Abstract This thesis describes position-sensitive devices (PSDs) and optical sensor systems suitable for industrial tracking and displacement sensing applications. The main application areas of the proposed sensors include automatic pointing of a rangefinder beam and measuring the lateral displacement of an object. A conventional tracking sensor is composed of a laser illuminator, a misfocused quadrant detector (QD) receiver and a corner cube retroreflector (CCR) attached to the target. The angular displacement of a target from the receiver optical axis is detected by illuminating the targ
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(unal), Kutlu Ozge. "Computational 3d Fracture Analysis In Axisymmetric Media." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609872/index.pdf.

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In this study finite element modeling of three dimensional elliptic and semielliptic cracks in a hollow cylinder is considered. Three dimensional crack and cylinder are modeled by using finite element analysis program ANSYS. The main objectives of this study are as follows. First, Ansys Parametric Design Language (APDL) codes are developed to facilitate modeling of different types of cracks in cylinders. Second, by using these codes the effect of some parameters of the problem like crack location, cylinder&rsquo<br>s radius to thickness ratio (R/t), the crack geometry ratio (a/c) and crack min
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Goy, Cristina. "Displacement Data Processing and FEM Model Calibration of a 3D-Printed Groin Vault Subjected to Shaking-Table Tests." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20061/.

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The present thesis is part of the wide work required by the SEBESMOVA3D (SEeismic BEhavior of Scaled MOdels of groin VAults made by 3D printers) project whose first motivation is the preservation of the cultural heritage in case of seismic events. Therefore, the main topic of the thesis is the analysis of the seismic response of scaled models of groin vaults, made of plastic 3D printed bricks filled with mortar, and subjected to shaking table tests performed at the EQUALS laboratory of the University of Bristol. The work has been developed on two parallel binaries: the processing of the displ
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Лисканич, Юрій Іванович, та Yuriy Lyskanych. "Дослідження 3D-моделі несучої системи фрезерного верстату". Master's thesis, Тернопільський національний технічний університет імені Івана Пулюя, 2019. http://elartu.tntu.edu.ua/handle/lib/28040.

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Роботу виконано на кафедрі конструювання верстатів, інструментів та машин Тернопільського національного технічного університету імені Івана Пулюя Міністерства освіти і науки УкраїниЗахист відбудеться 27 травня 2019 р. о 12.00 годині на засіданні екзаменаційної комісії №11 у Тернопільському національному технічному університеті імені Івана Пулюя за адресою: 46001, м. Тернопіль, вул. Руська, 56, навчальний корпус №4, ауд. 4-101.<br>У дипломній роботі розглянуті питання, які пов'язані з аналізом жорсткості несучої системи верстата, процесу механічної обробки деталі, дослідженням формоутворення та
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Culaciati, Marianna. "Three-dimensional tooth displacement following orthodontic, orthognathic and restorative treatment: mathematical analysis and case study." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/12130.

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A single 3D virtual system in orthodontic-surgical and restorative patients has not been developed. The study aims were to evaluate: (1) the performance of a Cartesian coordinate system (CSYS) to measure translational and rotational tooth displacement, and (2) maxillary and mandibular tooth, occlusion and bone displacement with the CSYS and a lingual landmarks mathematical registration method. Eleven maxillary and mandibular dental models following an orthodontic surgical and restorative treatment sequence case were retrospectively collected. These were laser scanned and processed using revers
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Books on the topic "3D displacement"

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Warner, H. R. “Hal.” The Reservoir Engineering Aspects of Waterflooding. Society of Petroleum Engineers, 2015. http://dx.doi.org/10.2118/9781613994214.

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The first edition of The Reservoir Engineering Aspects of Waterflooding was published in 1970 and written by Forrest F. Craig, Jr. At the time of publication, much of the theory of oil displacement by water had been developed and many laboratory studies completed; however, the ability to perform computer modeling of 3D fluid flow in reservoirs with complex geologic depositions was in its infancy. In addition, several of the earliest, large-scale field applications of pattern waterflooding had begun, but long-term performance results were not yet known, and various infill drilling programs had
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Book chapters on the topic "3D displacement"

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Russo, Gianpiero, and Marco Valerio Nicotera. "3D Displacement Field Around a Deep Excavation." In Challenges and Innovations in Geomechanics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64518-2_25.

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Tian, Xuhui, Xinran Lin, Fan Zhong, and Xueying Qin. "Large-Displacement 3D Object Tracking with Hybrid Non-local Optimization." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2022. http://dx.doi.org/10.1007/978-3-031-20047-2_36.

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Georgiev, Ivan, Johannes Kraus, and Svetozar Margenov. "Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problems." In Large-Scale Scientific Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12535-5_10.

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Lee, S. R., Z. S. Luo, H. S. Chiou, B. G. Wang, and L. S. Liu. "A Study of the Deformation Measurement of 3D Displacement Field." In Key Engineering Materials. Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-977-6.313.

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Razavi, M., and B. Muhunthan. "Determination of 3D Displacement Fields between X-ray Computed Tomography Images Using 3D Cross-Correlation." In Advances in Computed Tomography for Geomaterials. John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118557723.ch6.

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Schmitt, W., and T. Hollstein. "Numerical Evaluation of Crack Tip Opening Displacements: 2D and 3D Applications." In The Crack Tip Opening Displacement in Elastic-Plastic Fracture Mechanics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82818-8_1.

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Tomita, Daiki, Yorinobu Murata, and Motoharu Fujigaki. "3D Displacement Distribution Measurement Using Sampling Moire Method with Multiple Cameras." In Emerging Challenges for Experimental Mechanics in Energy and Environmental Applications, Proceedings of the 5th International Symposium on Experimental Mechanics and 9th Symposium on Optics in Industry (ISEM-SOI), 2015. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28513-9_26.

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Yang, P., C. Delorenzo, X. Papademetris, and J. S. Duncan. "Physical Model Based Recovery of Displacement and Deformations from 3D Medical Images." In Handbook of Biomedical Imaging. Springer US, 2015. http://dx.doi.org/10.1007/978-0-387-09749-7_17.

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Hwang, Chi-Hung, Shou Hsueh Wang, and Wei-Chung Wang. "On the In-Plane Displacement Measurement by 3D Digital Image Correlation Method." In Advancement of Optical Methods in Experimental Mechanics, Volume 3. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63028-1_4.

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Hasselbach, M., and C. M. Butter. "Ipsilesional Displacement of Egocentric Midline in Neglect Patients with, but Not in Those Without, Extensive Right Parietal Damage." In Parietal Lobe Contributions to Orientation in 3D Space. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60661-8_31.

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Conference papers on the topic "3D displacement"

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Chen, Yu-Jen, Zong-Nan Shen, Ying-Chieh Chen, Chun-Fa Chang, Yung-Yu Chuang, and Jieh Hsiang. "Extensions to inverse displacement mapping." In I3D08: Symposium on Interactive 3D Graphics and Games. ACM, 2008. http://dx.doi.org/10.1145/1342250.1357014.

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Byram, Brett, Veronica Rotemberg, and Gregg Trahey. "2D and 3D Bayesian displacement estimation." In 2012 IEEE International Ultrasonics Symposium. IEEE, 2012. http://dx.doi.org/10.1109/ultsym.2012.0636.

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Chao, Bi, Longxiang Bao, Liping Wang, and Jianguo Fang. "Study on precision optimization method for laser displacement sensors." In 3D Measurement Technology for Intelligent Manufacturing, edited by Wolfgang Osten, Anand K. Asundi, and Huijie Zhao. SPIE, 2017. http://dx.doi.org/10.1117/12.2284399.

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Blaz, Nelu, Milica Kisic, Ljiljana Zivanov, and Mirjana Damnjanovic. "Displacement sensor fabricated by 3D additive manufacturing." In 2017 40th International Spring Seminar on Electronics Technology (ISSE). IEEE, 2017. http://dx.doi.org/10.1109/isse.2017.8000998.

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Røe, P., F. Georgsen, A. R. Syversveen, and O. Lia. "Fault Displacement Modelling Using 3D Vector Fields." In 12th European Conference on the Mathematics of Oil Recovery. EAGE Publications BV, 2010. http://dx.doi.org/10.3997/2214-4609.20144968.

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Wu, X. P., and F. P. Chiang. "Sandwich Holospeckle Interferometry For 3D Displacement Determination." In 29th Annual Technical Symposium, edited by Henri H. Arsenault. SPIE, 1985. http://dx.doi.org/10.1117/12.949562.

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Zhou, Jian, Hong Zhao, Wenyi Chen, Feng Tian, and Yushan Tan. "Three-dimensional rigid body line displacement and 3D rigid body angle displacement measurements." In Photonics China '96, edited by Frederick Y. Wu and Shenghua Ye. SPIE, 1996. http://dx.doi.org/10.1117/12.253011.

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Zhehao, Yin, Yuan Yibao, and Liu Baoshuai. "Research on precise pneumatic-electric displacement sensor with large measurement range." In 3D Measurement Technology for Intelligent Manufacturing, edited by Wolfgang Osten, Anand K. Asundi, and Huijie Zhao. SPIE, 2017. http://dx.doi.org/10.1117/12.2284930.

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Yuan, Yibao, Liu Baoshuai, and Zhehao Yin. "Research and design on orthogonal diffraction grating-based 3D nanometer displacement sensor." In 3D Measurement Technology for Intelligent Manufacturing, edited by Wolfgang Osten, Anand K. Asundi, and Huijie Zhao. SPIE, 2017. http://dx.doi.org/10.1117/12.2285042.

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Pinheiro, Gomes, and Velho. "Interactive specification of 3D displacement vectors using arcball." In Proceedings Computer Graphics International CGI-99. IEEE, 1999. http://dx.doi.org/10.1109/cgi.1999.777915.

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Reports on the topic "3D displacement"

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Hattar, Khalid Mikhiel, and David Robinson. In-situ 3D characterization of He bubble and displacement damage in dense and nanoporous thin films. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1226424.

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Shmulevich, Itzhak, Shrini Upadhyaya, Dror Rubinstein, Zvika Asaf, and Jeffrey P. Mitchell. Developing Simulation Tool for the Prediction of Cohesive Behavior Agricultural Materials Using Discrete Element Modeling. United States Department of Agriculture, 2011. http://dx.doi.org/10.32747/2011.7697108.bard.

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The underlying similarity between soils, grains, fertilizers, concentrated animal feed, pellets, and mixtures is that they are all granular materials used in agriculture. Modeling such materials is a complex process due to the spatial variability of such media, the origin of the material (natural or biological), the nonlinearity of these materials, the contact phenomenon and flow that occur at the interface zone and between these granular materials, as well as the dynamic effect of the interaction process. The lack of a tool for studying such materials has limited the understanding of the phen
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Nagabhatla, Nidhi, Panthea Pouramin, Rupal Brahmbhatt, et al. Migration and Water: A Global Overview. United Nations University Institute for Water, Environment and Health, 2020. http://dx.doi.org/10.53328/lkzr3535.

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Global migration has been increasing since the 1990s. People are forced to leave their homes in search of safety, a better livelihood, or for more economic opportunities. Environmental drivers of migration, such as land degradation, water pollution, or changing climate, are acting as stronger phenomena with time. As millions of people are exposed to multiple water crises, daily needs related to water quality, lack of provisioning, excess or shortage of water become vital for survival as well for livelihood support. In turn, the crisis can transform into conflict and act as a trigger for migrat
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Volunteer Kinematics and Reaction in Lateral Emergency Maneuver Tests. SAE International, 2013. http://dx.doi.org/10.4271/2013-22-0013.

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It is important to understand human kinematics and muscle activation patterns in emergency maneuvers for the design of safety systems and for the further development of human models. The objective of this study was to quantify kinematic behavior and muscle activation in simulated steering tests in several realistic conditions. In total 108 tests were performed with 10 volunteers undergoing purely lateral maneuvers at 5 m/s2 deceleration or simulated lane change maneuvers at 5 m/s2 peak acceleration and peak yaw velocity of 25 °/s. Test subjects were seated on a rigid seat and restrained by a 4
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A SIMPLE METHOD FOR A RELIABLE MODELLING OF THE NONLINEAR BEHAVIOUR OF BOLTED CONNECTIONS IN STEEL LATTICE TOWERS. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/ijasc.2022.18.1.6.

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The behaviour of bolted connections in steel lattice transmission line towers affects their load-bearing capacity and failure mode. Bolted connections are commonly modelled as pinned or fixed joints, but their behaviour lies between these two extremes and evolves in a nonlinear manner. Accordingly, an accurate finite element modelling of the structural response of complete steel lattice towers requires the consideration of various nonlinear phenomena involved in bolted connexions, such as bolt slippage. In this study, a practical method is proposed for the modelling of the nonlinear response o
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