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Dissertations / Theses on the topic 'Hausdorff Distance'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Richard, Abigail H. "Quasihyperbolic Distance, Pointed Gromov-Hausdorff Distance, and Bounded Uniform Convergence." University of Cincinnati / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin156086547392659.

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2

Zerelli, Manel. "Systèmes mécatroniques à paramètres variables : analyse du comportement et approche du tolérancement." Thesis, Châtenay-Malabry, Ecole centrale de Paris, 2014. http://www.theses.fr/2014ECAP0032/document.

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Dans cette thèse nous avons proposé une méthode d’étude des variations paramétriques pour les systèmes mécatroniques continus et hybrides puis une approche du tolérancement mécatronique. Nous avons d’abord étudié les différentes approches existantes pour la prise en compte de la variation de paramètres. Pour les systèmes continus à paramètres variables nous avons choisi la méthode des inclusions différentielles. Nous avons repris l’algorithme de Raczynski et nous avons développé un algorithme d’optimisation qui se base sur la méthode du steepest descent, avec une extension permettant d’obtenir

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3

Iwancio, Kathleen Marie. "Use of Integral Signature and Hausdorff Distance in Planar Curve Matching." NCSU, 2009. http://www.lib.ncsu.edu/theses/available/etd-11032009-104907/.

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Curve matching is an important problem in computer image processing and image recognition. In particular, the problem of identifying curves that are equivalent under a geometric transformation arises in a variety of applications. Two curves in $mathbb{R}^2$ are called congruent if they are equivalent under the action of the Euclidean group, i.e. if one curve can be mapped to the other by a combination of rotations, reflections, and translations. In theory, one can identify congruent curves by using differential invariants, such as infinitesimal arc-length and curvature. The practical use of di

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4

Cerocchi, Filippo. "Dynamical and Spectral applications of Gromov-Hausdorff Theory." Thesis, Grenoble, 2013. http://www.theses.fr/2013GRENM077/document.

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Cette thèse est divisée en deux parties. La première est consacrée à la méthode du barycentre, introduite en 1995 par G. Besson, G. Courtois et S. Gallot pour résoudre la conjecture de l'Entropie Minimale. Dans le Chapitre 1 nous décrivons ses développements les plus récents, notamment l'extension de cette méthode au cadre des variétés dont la courbure sectionnelle est de signe quelconque (voir les énoncés 1.2.1 et 1.4.1). Dans le Chapitre 2 et 3 nous présentons des résultats dans lesquels la méthode du barycentre joue un rôle important. Le problème “deux variétés dont les flots géodésiques so

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5

Almuraysil, Norah Abdullatif. "MEASURING CONVEXITY OF A SET." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1491496062145907.

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6

SURIANO, LUCA. "A Quantum distance for noncommutative measure spaces and an application to quantum field theory." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2010. http://hdl.handle.net/2108/1326.

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Nella prima parte della Tesi, presentiamo una versione "puntata" della topologia di Gromov-Hausdorff quantistica introdotta da Rieffel per spazi metrici quantistici compatti (cioè, spazi con unità d'ordine e una seminorma Lipschitz che metrizza la topologia *-debole sullo spazio dei funzionali positivi normalizzati). In particolare, proporremo una nozione di cono tangente quantistico di uno spazio metrico quantistico, come analogo noncommutativo del cono tangente di Gromov in un punto di uno spazio metrico ordinario, basata su una opportuna procedura di riscalamento della seminorma Lipschitz d

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Guven, Ayse. "Quantitative perturbation theory for compact operators on a Hilbert space." Thesis, Queen Mary, University of London, 2016. http://qmro.qmul.ac.uk/xmlui/handle/123456789/23197.

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This thesis makes novel contributions to a problem of practical and theoretical importance, namely how to determine explicitly computable upper bounds for the Hausdorff distance of the spectra of two compact operators on a Hilbert space in terms of the distance of the two operators in operator norm. It turns out that the answer depends crucially on the speed of decay of the sequence of singular values of the two operators. To this end, 'compactness classes', that is, collections of operators the singular values of which decay at a certain speed, are introduced and their functional analytic pro

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Ryvkin, Leonie [Verfasser], Maike [Gutachter] Buchin, and Carola [Gutachter] Wenk. "On distance measures for polygonal curves bridging between Hausdorff and Fréchet distance / Leonie Ryvkin ; Gutachter: Maike Buchin, Carola Wenk ; Fakultät für Mathematik." Bochum : Ruhr-Universität Bochum, 2021. http://d-nb.info/1239418930/34.

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9

Paulin, Frédéric. "Topologie de Gromov équivariante, structures hyperboliques et arbres réels." Paris 11, 1987. http://www.theses.fr/1987PA112389.

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Les objets que nous étudions sont les actions isométriques d'un groupe de type fini fixé sur les espaces métriques. Notre but est d'étudier la dégénérescence des structures hyperboliques vers des arbres réels par des moyens purement topologiques. Nous munissons d'une topologie naturelle, dite topologie de Gromov, tous ensemble formé de telles actions. Elle est construite à partir de la distance de Hausdorff entre espaces métriques, et la topologie compacte-ouverte pour les actions sur un même espace métrique. Nous donnons un procédé canonique pour rendre séparée une topologie de Gromov. Par de

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Singhal, Kritika. "Geometric Methods for Simplification and Comparison of Data Sets." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1587253879303425.

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11

Bertrand, Jérôme. "Pincement spectral en courbure positive." Paris 11, 2003. https://tel.archives-ouvertes.fr/tel-00008705.

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Sur l'ensemble des variétés Riemanniennes compactes à courbure de Ricci positive (on normalise par Ric ≥ (n -1)g), la première valeur propre du Laplacien agissant sur les fonctions atteint son minimum uniquement pour la sphère canonique. Dans cette thèse, nous caractérisons, à l'aide de la distance de Gromov-Hausdorff, les variétés Riemanniennes à courbure positive dont les premières valeurs propres du Laplacien sont proches de celles de la sphère canonique. Cette propriété de minimimalité du spectre de la sphère s'étend par un procédé de symétrisation, au spectre de Dirichlet des boules géodé

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ABBAS, IYAD, and Philippe Hottier. "Base de donnees vectorielles et erreur cartographique : problemes poses par le controle ponctuel, une methode alternative fondee sur la distance de hausdorff: le controle lineaire." Paris 7, 1994. http://www.theses.fr/1994PA077113.

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Cette these est consacree essentiellement a la presentation d'une nouvelle methode, dite du controle lineaire qui remedie aux defauts des methodes existantes. L'idee principale a la base de cette methode est de prendre en consideration non pas les points mais le trace de la carte pour le comparer au trace homologue de la reference choisie ce qui rend la methode plus generale et plus adequate a la nature des bases de donnees vectorielles. L'outil mathematique utilise est la distance de hausdorff qui permet de calculer univoquement la distance entre deux contours. Cette distance est definie de f

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Akyol, Halime Iclal. "Blind Deconvolution Techniques In Identifying Fmri Based Brain Activation." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613869/index.pdf.

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In this thesis, we conduct functional Magnetic Resonance Imaging (fMRI) data analysis with the aim of grouping the brain voxels depending on their responsiveness to a neural task. We mathematically treat the fMRI signals as the convolution of the neural stimulus with the hemodynamic response function (HRF). We first estimate a time series including HRFs for each of the observed fMRI signals from a given set and we cluster them in order to identify the groups of brain voxels. The HRF estimation problem is studied within the Bayesian framework through a blind deconvolution algorithm using MAP ap

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Tejada, Pedro J. "A Computational Geometry Approach to Digital Image Contour Extraction." DigitalCommons@USU, 2009. https://digitalcommons.usu.edu/etd/422.

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We present a method for extracting contours from digital images, using techniques from computational geometry. Our approach is different from traditional pixel-based methods in image processing. Instead of working directly with pixels, we extract a set of oriented feature points from the input digital images, then apply classical geometric techniques, such as clustering, linking, and simplification, to find contours among these points. Experiments on synthetic and natural images show that our method can effectively extract contours, even from images with considerable noise; moreover, the extra

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Daoudi, Otmane. "Zonotopes et zonoïdes : études et applications aux processus de la séparation." Phd thesis, Université Joseph Fourier (Grenoble), 1995. http://tel.archives-ouvertes.fr/tel-00346057.

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La modélisation géométrique de quelques problèmes de gestion de la fabrication des mélanges en pétrochimie a amené a introduire des polytopes particuliers appelés zonotopes. Le critère de gestion utilise a conduit a la resolution d'un probleme d'optimisation non linéaire avec contraintes. Les données de ce probleme sont constituées par des caractéristiques des produits de base. Ces caractéristiques sont des résultats de mesures, donc sujettes a des erreurs. Nous étudions la variation de la solution du probleme d'optimisation par rapport a ces erreurs et nous caractérisons la région de confianc

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Dutrieux, Yves. "Géométrie non linéaire des espaces de Banach." Paris 6, 2002. http://www.theses.fr/2002PA066118.

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Suzuki, Kohei. "Convergence of stochastic processes on varying metric spaces." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215281.

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Opravil, Jan. "Systém pro optické měření." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2012. http://www.nusl.cz/ntk/nusl-219684.

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This diploma thesis deals with the creation and testing of optical measurement system. There are basic parts of computer vision. Some ways of image preprocessing and templates matching are discussed. Everything is directed to a particular practical task. Selected methods for templates matching are the Correlation Method, the Classical and Hybrid Hausdorff Distance, Radial and Circular Sampling Space. These methods are programmed in C++ and they are compared with function for searching templates from specific library.

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Baudrier, Etienne. "Comparaison d'images binaires reposant sur une mesure locale des dissimilarités.Application à la classification." Phd thesis, Université de Reims - Champagne Ardenne, 2005. http://tel.archives-ouvertes.fr/tel-00011570.

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Cette thèse se situe dans le cadre de la comparaison d'image. Elle est consacrée au développement d'une méthode de comparaison locale d'images binaires. En s'appuyant sur un exemple de mesure - la distance de Hausdorff (DH) - une mesure locale (à travers une<br />fenêtre) est définie, et ses propriétés en fonction de la taille de la fenêtre et de la mesure globale entre les deux images sont prouvées. Cela permet de définir un critère pour fixer une taille de fenêtre ajustée à celle de la dissimilarité locale. Cette méthode permet de<br />définir une Carte de Dissimilarités Locales (CDL) lorsqu

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Bertrand, Jerome. "Pincement spectral en courbure positive." Phd thesis, Université Paris Sud - Paris XI, 2003. http://tel.archives-ouvertes.fr/tel-00008705.

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Sur l'ensemble des variétés riemanniennes compactes à courbure de Ricci positive (on normalise par $Ric \geq (n-1)g$), la première valeur propre non nulle du laplacien agissant sur les fonctions atteint son minimum uniquement pour la sphère canonique. Dans cette thèse, nous caractérisons, à l'aide de la distance de Gromov-Hausdorff, les variétés riemanniennes à courbure positive dont les premières valeurs propres du laplacien sont proches de celles de la sphère canonique. Cette propriété de minimimalité du spectre de la sphère s'étend par un procédé de symétrisation, au spectre de Dirichlet de

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21

Charpiat, Guillaume. "Statistiques de formes pour la segmentation d'images avec a priori." Phd thesis, Ecole Polytechnique X, 2006. http://tel.archives-ouvertes.fr/tel-00457462.

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Le but de cette thèse est de construire, à partir d'un ensemble donné d'exemples de contours d'objets, un critère qui exprime quantitativement la ressemblance entre une forme quelconque et ces exemples. Ce critère permettra ainsi d'avoir un a priori sur la forme de l'objet à rechercher dans une nouvelle image à segmenter. On définit tout d'abord mathématiquement l'ensemble de "toutes les formes". L'étude de plusieurs métriques sur cet ensemble conduit à leur équivalence topologique. Une approximation dérivable de la distance de Hausdorff permet alors de construire un chemin entre deux formes q

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Parra, Nestor Andres. "Rigid and Non-rigid Point-based Medical Image Registration." FIU Digital Commons, 2009. http://digitalcommons.fiu.edu/etd/127.

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The primary goal of this dissertation is to develop point-based rigid and non-rigid image registration methods that have better accuracy than existing methods. We first present point-based PoIRe, which provides the framework for point-based global rigid registrations. It allows a choice of different search strategies including (a) branch-and-bound, (b) probabilistic hill-climbing, and (c) a novel hybrid method that takes advantage of the best characteristics of the other two methods. We use a robust similarity measure that is insensitive to noise, which is often introduced during feature extra

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Runow, Björn. "Deep Learning for Point Detection in Images." Thesis, Linköpings universitet, Datorseende, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-166644.

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The main result of this thesis is a deep learning model named BearNet, which can be trained to detect an arbitrary amount of objects as a set of points. The model is trained using the Weighted Hausdorff distance as loss function. BearNet has been applied and tested on two problems from the industry. These are: From an intensity image, detect two pocket points of an EU-pallet which an autonomous forklift could utilize when determining where to insert its forks. From a depth image, detect the start, bend and end points of a straw attached to a juice package, in order to help determine if the str

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Campos, Pinto Martin Jean. "Développement et analyse de schémas adaptatifs pour les équations de transport." Paris 6, 2005. https://tel.archives-ouvertes.fr/tel-00129013.

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Sarradin, François. "Analyse morphologique des espaces ouverts urbains le long de parcours : mesure des variations des formes de ciel par la squelettisation." Phd thesis, Université de Nantes, 2004. http://tel.archives-ouvertes.fr/tel-00009410.

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Le mouvement de l'observateur dans un espace donné produit une forme de perception particulière appelée « perspective de mouvement ». Celle-ci a été dénie par Gibson comme étant la variation graduelle de l'ensemble des déplacements des lignes de contour apparaissant dans le champ visuel de l'observateur. Cette thèse décrit une nouvelle approche destinée à analyser la perspective de mouvement le long de parcours dans les espaces ouverts urbains. Elle se base sur des projections sphériques qui fournissent la forme du contour du ciel autour de l'observateur, et que l'on étudie au travers de leur

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Campos, Pinto Martin. "Développement et analyse de méthodes adaptatives pour les équations de transport." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2005. http://tel.archives-ouvertes.fr/tel-00129013.

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Les résultats présentés dans cette thèse portent sur l'approximation adaptative de deux problèmes de transport non-linéaire : le système de Vlasov-Poisson et les lois de conservation scalaires. Pour le premier, et dans une approche semi-lagrangienne, on a proposé un schéma adaptatif original à base d'éléments finis hiérarchiques où l'évolution des maillages est réalisée par une étape de prédiction très simple suivie d'une étape de correction plus classique. En introduisant la notion de courbure totale pour étendre la semi-norme W2,1(R2) aux fonctions affines par morceaux, on a alors établi une

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Kuo, Pan-Pin, and 高潘寅. "Image Retrieval with the Hausdorff Distance Function." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/59488289578160903831.

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碩士<br>國立清華大學<br>資訊工程學系<br>90<br>Recently, the management of the database becomes more important. And it needs to find a method to search the queried image fast and correctly. Image database are usually implemented in two steps. First, we analyze the images in the database offline using some visual content attributes, and store the features to represent the image. Then, we apply the same analysis to the query image to compare the features to find out the similar or correct image. In the image retrieval method, there are many content attributes are adopted to measure the similarity between two

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Lin, Chun-Ming, and 林俊銘. "Similar Human Face Matching Using The Hausdorff Distance." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/24337754765258778392.

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碩士<br>國立暨南國際大學<br>電機工程學系<br>101<br>Recently, biometrics has been widely used in our life. In the measurement of similar human face matching, there seems little study using the least trimmed square Hausdorff Distance (LTS-HD). In this paper, we use LTS-HD to measure facial similarity. The face images come from the UBKinFace Version 2, TwinsFace, DupeKorean and VIPKinFace face databases. This system uses Viola and Jones’s face detection method. After face detection, the ASM (Active Shape Model) is applied for rapidly locating facial feature points such that the feature regions can be extracted a

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Li, Chi-Ming, and 李啟銘. "Iris Recognition Based on Partial Hausdorff Distance Method." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/37040555479250354594.

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碩士<br>國立高雄第一科技大學<br>電腦與通訊工程所<br>98<br>In recent years, personal identity and recognition have become more and more important, and biometric identification system has been received great attentions. The characteristic of iris is stable, reliable, and unique. The features of iris don’t like other biometric features that are time-varying and easy to be destroyed. Thus, in this thesis, we use the partial Hausdorff distance method to construct an iris recognition system. The main tasks of iris recognition system include pupil localization, iris normalization, feature extraction, classification, and

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Liaw, Jiann Tong, and 廖建通. "A comparison of Kernel and Hausdorff distance discriminant analyses." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/02242507288741954479.

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碩士<br>輔仁大學<br>數學系<br>83<br>The discriminant analysis is an important subdomain of the multivariate analysis.It is much divided into parametric and nonparametric discriminant analyses.Here,mainly discuss latter. The two important rules of nonparametric discriminant analysis are both Kernel and Hausdorff distance discriminant analyses. There are very many methods about appraising good-bad of a dis- criminant rule.Here,we adopted discriminant rate of misclassif- ication to show the comparison

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Kuo, Tzu-yu, and 郭咨佑. "GOLF SWING TRAJECTORY TRACKING ANDMATCHING BY HAUSDORFF DISTANCE ALGORITHM." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/12203491938412485923.

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碩士<br>大同大學<br>電機工程學系(所)<br>97<br>This thesis presents a new visual tracking comparison technology that relies on the use of a trajectory model to achieve robustness. We purpose of retrieving the 2D spatiotemporal trajectory of a golf club head and get the trajectory pole from ordinary video sequences of golf swing, compare with coaches and an user give a score then judge good or bad. This thesis includes two main topics. The first is to determine the center of the moving object using image-processing technique， include "Image Subtraction" 、"Morphology Dilation and Erosion" 、"Contour Tracing"，i

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Chen, Yi-Ching, and 陳怡青. "Raabe’s Test for Series of Sets Under Hausdorff Distance." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/42749721734181929572.

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碩士<br>中原大學<br>應用數學研究所<br>100<br>It is known to discuss the convergence of the series is an important subject in the analysis. In this paper, we will discuss the ”Euclidean Space Raabe’s Test for Series of Sets Under Hausdorff Distance”. The main result is that, the convergence of Raabe’s test is right for series of sets under Banach space. But the divergence of Raabe’s test must found in Euclidean space and these results will be introduced in the following statements.

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Li, Chun-Lin, and 李俊霖. "Euclidean Space Absolutely Convergent Series of Sets Under Hausdorff Distance." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/02649305793517753983.

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碩士<br>中原大學<br>應用數學研究所<br>100<br>The aim of the paper is to discuss the condition of convergence of series of sets between two sets which are defined under Hausdorff distance in Euclidean space. And we extended one-dimention series of sets for Cauchy condition converges and satisfies that every absolutely convergent series converges. In the end of the paper, we define the positive series in Euclidean space, and the positive series have the same results with one dimention positive series, which means the absolutely convergent series of sets is equivalent to convergent series of sets.

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Chung, Yun-Wen, and 鍾韻雯. "Euclidean Space Series of Sets Under Hausdorff Distance for ∑AB." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/48130229112665328979.

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碩士<br>中原大學<br>應用數學研究所<br>101<br>The papers mainly on the Euclidean space collection series discussion on convergence of ∑AB in the Hausdorff distance. Our product of the two collections of definitions is different from general ways. And after the product collection is also maintaining the same dimensions. We also promote a space of dimension n-dimensional space. And found several sufficient conditions such as Dirichlet convergence, Holder’s generalization of the inequality and Mertens theorem. And we also used Li Junlin (2012) made by set some properties of the absolute convergence of series a

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Tzu-Chieh, Hung, and 洪子傑. "A Method for Face Recognition Based on Entropy and Hausdorff distance." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/65313754343537655322.

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碩士<br>亞洲大學<br>生物資訊學系碩士班<br>97<br>With the science and technology development in recent years, the application of face recognition is extensive. This technology will be useful and have commercial profit obviously in future, especially in entrance guard's system, the public security control, and establishing criminal's picture files. But face recognition has many problems such as difficult feature selection, complex recognition, and time-consuming so it requires new way which can improve the accuracy and speed to solve these important problems. This research proposed a method which reasonably c

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Hsu, Shih-Keng, and 許時耕. "Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/28036290690505737840.

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碩士<br>中原大學<br>應用數學研究所<br>100<br>We mainly discuss the convergence of series of sets in Euclidean space in this paper, and we extend the Dirichlet’s test to the series of sets in Euclidean space. However, the Dirichlet’s test is used to judge the convergence to the form of ΣAnBn. Thus, we must define the addition and the multiplication of series of sets, especially in the multiplication part, which is satisfied with the condition of the same dimension after multiplying. In consequence, it is successfully extended to the convergence of series of sets in Euclidean space, and which is the characte

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Teng, Yi-Chen, and 鄧宜珍. "Remote-sensing image processing and recognition using wavelet transform and Hausdorff distance." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/98749370955050763027.

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碩士<br>國立中央大學<br>資訊工程研究所<br>90<br>In this study, approaches of image enhancement, edge extraction, and line-based image matching for remote sensing images are proposed. The image enhancement includes noise reduction and contrast enhancement. We apply wavelet shrinkage techniques to suppress noise while preserving the sharpness of large-scale edges based on a Teager energy operator. The edge extraction contains wavelet-based edge detection and tracking. Wavelet transform provides multiresolution representation of images for robust tracking. The proposed edge detector consists of three modules: (

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Huang, Hui-Ling, and 黃惠玲. "Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/36260299033328501919.

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碩士<br>中原大學<br>應用數學研究所<br>100<br>To discussing the series convergence the course of analysis is important, so that the mainly research in this paper is Cauchy condensation test. And Cauchy condensation test under smoe conditions, the convergence of series is consistent as the convergence of subseries. We are also extend it to the Euclidean space for series of sets, and under the Hausdorff distance will have an one-dimension with the same result, and we also provide an example, that the alternating series test can not be extended.

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Maitra, Sayantan. "The Space of Metric Measure Spaces." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/3588.

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This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. Here we talk about only the most basic of their properties and give a few illustrative examples. As we wish to study collections of metric measure spaces, which are triples (X; d; m) consisting of a complete separable metric space (X; d) and a Boral probability measure m on X, there are discussions about some distances between them. Among the three that we discuss, the tran

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Maitra, Sayantan. "The Space of Metric Measure Spaces." Thesis, 2017. http://etd.iisc.ernet.in/2005/3588.

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This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. Here we talk about only the most basic of their properties and give a few illustrative examples. As we wish to study collections of metric measure spaces, which are triples (X; d; m) consisting of a complete separable metric space (X; d) and a Boral probability measure m on X, there are discussions about some distances between them. Among the three that we discuss, the tran

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Gollaz, Morales Jose Alejandro. "Measuring Visual Closeness of 3-D Models." Thesis, 2012. http://hdl.handle.net/10754/248714.

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Measuring visual closeness of 3-D models is an important issue for different problems and there is still no standardized metric or algorithm to do it. The normal of a surface plays a vital role in the shading of a 3-D object. Motivated by this, we developed two applications to measure visualcloseness, introducing normal difference as a parameter in a weighted metric in Metro’s sampling approach to obtain the maximum and mean distance between 3-D models using 3-D and 6-D correspondence search structures. A visual closeness metric should provide accurate information on what the human observers

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Hussain, Zahid, and 胡杉奕. "Distance, similarity and entropy for hesitant fuzzy sets based on Hausdorff metric with applications to multi-criteria decision making and clustering." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/2ac4kx.

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博士<br>中原大學<br>應用數學研究所<br>107<br>Distance, similarity and entropy play an indispensable role in almost every field of our daily life settings. Distance and similarity measures are widely used to differentiate between two sets or objects. While entropy measures the fuzziness in a fuzzy set. Different distance and similarity measures have been proposed for hesitant fuzzy sets (HFSs) in the literature, but either they are in sufficient or not reflect desirable results. In this manuscript, the construction of new distance and similarity measures between HFSs based on Hausdorff metric is proposed. W

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George, Greegar. "Global and combined global-local response sensitivity analyses of uncertain structures based on model distance measures." Thesis, 2018. https://etd.iisc.ac.in/handle/2005/4750.

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The work reported in this thesis is in the area of global response sensitivity analysis (GRSA) of engineering systems in which the uncertainties associated with external actions and/or system parameters need to be explicitly modelled using a suitable mathematical framework. The uncertainties in loads and system parameters propagate through the relevant input-output relationship and manifest as uncertainties in the response variables of interest. The problem of GRSA consists of decomposing a measure of uncertainty in a chosen response variable into a set of constituents each of which quantifies

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REVIRON, Guillemette. "Espaces de longueur d'entropie majorée : rigidité topologique, adhérence des variétés, noyau de la chaleur." Phd thesis, 2005. http://tel.archives-ouvertes.fr/tel-00009203.

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Un problème classique est d'identifier des sous-ensembles (pré)compacts de l'ensemble des espaces métriques de longueur (la distance entre deux espaces étant celle de Gromov-Hausdorff) et d'y étudier la continuité, la rigidité ou la « bornitude » de certains invariants. Habituellement, on considère l'ensemble <B>R</B><sub><I>n,K,D</I></SUB> des variétés de dimension, courbure et diamètre bornés (par <I>n</I>, -<I>K</I><SUP>2</SUP> et <I>D</I>), qui n'est pas complet (la « bornitude » n'y découle donc pas d'une preuve unifiée de type compacité/continuité). Nous nous affranchissons des hypothèse

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Akhvlediani, Andrei. "Hausdorff and Gromov distances in quantale-enriched categories /." 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:MR45921.

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Thesis (M.A.)--York University, 2008. Graduate Programme in Mathematics and Statistics.<br>Typescript. Includes bibliographical references (leaves 166-167). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:MR45921

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BAYLE, Vincent. "Propriétés de concavité du profil isopérimétrique et applications." Phd thesis, 2003. http://tel.archives-ouvertes.fr/tel-00004317.

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Nous montrons que les puissances de la fonction profil isopérimétrique, associée à une variété riemannienne fermée, vérifient une famille d'inéquations différentielles non linéaires du second ordre, paramétrées par un minorant de la courbure de Ricci et la dimension de la variété. Nous en déduisons des propriétés analytiques du profil, des renseignements géométriques et topologiques concernant les domaines minimisants et des théorèmes de comparaison et de pincement du profil isopérimétrique. Nous retrouvons en particulier des versions améliorées de l'inégalité de Lévy-Gromov. Ensuite, nous obs

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AUBRY, Erwann. "Variétés de courbure de Ricci presque minorée: inégalités géométriques optimales et stabilité des variétés extrémales." Phd thesis, 2003. http://tel.archives-ouvertes.fr/tel-00004006.

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On s'intéresse à la géométrie des variétés de courbure de Ricci presque supérieure à $k$ (i.e. telle qu'une norme $L^p$---locale ou globale---de la fonction $(\underline(\rm Ric)-k)^-$ soit petite, où $\underline(\rm Ric)(x)$ est la plus petite valeur propre de la courbure de Ricci en $x$). On démontre sous cette hypothèse les équivalents des inégalités géométriques classiques de Myers, de Bishop-Gromov, de Lichnerowicz,... puis on caractérise les variétés qui réalisent presque les cas d'égalité (généralisant des travaux de T.~Colding et de P.~Petersen). Sur une variété compacte $M^n$ de courb

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