3d Shape Analysis

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3D Shape Analysis

Author : Hamid Laga
Publisher : John Wiley & Sons
ISBN 13 : 1119405106
Total Pages : 368 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis 3D Shape Analysis by : Hamid Laga

Download or read book 3D Shape Analysis written by Hamid Laga and published by John Wiley & Sons. This book was released on 2019-01-07 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications This book discusses the different topics that come under the title of "3D shape analysis". It covers the theoretical foundations and the major solutions that have been presented in the literature. It also establishes links between solutions proposed by different communities that studied 3D shape, such as mathematics and statistics, medical imaging, computer vision, and computer graphics. The first part of 3D Shape Analysis: Fundamentals, Theory, and Applications provides a review of the background concepts such as methods for the acquisition and representation of 3D geometries, and the fundamentals of geometry and topology. It specifically covers stereo matching, structured light, and intrinsic vs. extrinsic properties of shape. Parts 2 and 3 present a range of mathematical and algorithmic tools (which are used for e.g., global descriptors, keypoint detectors, local feature descriptors, and algorithms) that are commonly used for the detection, registration, recognition, classification, and retrieval of 3D objects. Both also place strong emphasis on recent techniques motivated by the spread of commodity devices for 3D acquisition. Part 4 demonstrates the use of these techniques in a selection of 3D shape analysis applications. It covers 3D face recognition, object recognition in 3D scenes, and 3D shape retrieval. It also discusses examples of semantic applications and cross domain 3D retrieval, i.e. how to retrieve 3D models using various types of modalities, e.g. sketches and/or images. The book concludes with a summary of the main ideas and discussions of the future trends. 3D Shape Analysis: Fundamentals, Theory, and Applications is an excellent reference for graduate students, researchers, and professionals in different fields of mathematics, computer science, and engineering. It is also ideal for courses in computer vision and computer graphics, as well as for those seeking 3D industrial/commercial solutions.

Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

Author : Jean-Luc Mari
Publisher : John Wiley & Sons
ISBN 13 : 1119680956
Total Pages : 200 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis by : Jean-Luc Mari

Download or read book Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis written by Jean-Luc Mari and published by John Wiley & Sons. This book was released on 2019-12-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and facilitate description and categorization according to specific criteria. This book adopts the point of view of discrete mathematics, the aim of which is to propose discrete counterparts to concepts mathematically defined in continuous terms. It explains how standard geometric and topological notions of surfaces can be calculated and computed on a 3D surface mesh, as well as their use for shape analysis. Several applications are also detailed, demonstrating that each of them requires specific adjustments to fit with generic approaches. The book is intended not only for students, researchers and engineers in computer science and shape analysis, but also numerical geologists, anthropologists, biologists and other scientists looking for practical solutions to their shape analysis, understanding or recognition problems.

Spectral Geometry of Shapes

Author : Jing Hua
Publisher : Academic Press
ISBN 13 : 0128138424
Total Pages : 152 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Spectral Geometry of Shapes by : Jing Hua

Download or read book Spectral Geometry of Shapes written by Jing Hua and published by Academic Press. This book was released on 2019-10-26 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource.

3D Imaging, Analysis and Applications

Author : Nick Pears
Publisher : Springer Science & Business Media
ISBN 13 : 144714063X
Total Pages : 506 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis 3D Imaging, Analysis and Applications by : Nick Pears

Download or read book 3D Imaging, Analysis and Applications written by Nick Pears and published by Springer Science & Business Media. This book was released on 2012-05-22 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3D Imaging, Analysis and Applications brings together core topics, both in terms of well-established fundamental techniques and the most promising recent techniques in the exciting field of 3D imaging and analysis. Many similar techniques are being used in a variety of subject areas and applications and the authors attempt to unify a range of related ideas. With contributions from high profile researchers and practitioners, the material presented is informative and authoritative and represents mainstream work and opinions within the community. Composed of three sections, the first examines 3D imaging and shape representation, the second, 3D shape analysis and processing, and the last section covers 3D imaging applications. Although 3D Imaging, Analysis and Applications is primarily a graduate text, aimed at masters-level and doctoral-level research students, much material is accessible to final-year undergraduate students. It will also serve as a reference text for professional academics, people working in commercial research and development labs and industrial practitioners.

Digital Human Modeling

Author : Vincent D. Duffy
Publisher : Springer
ISBN 13 : 3540733213
Total Pages : 1083 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Digital Human Modeling by : Vincent D. Duffy

Download or read book Digital Human Modeling written by Vincent D. Duffy and published by Springer. This book was released on 2007-08-24 with total page 1083 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference on Digital Human Modeling, DHM 2007, held in Beijing, China in July 2007. The papers thoroughly cover the thematic area of digital human modeling, addressing the following major topics: shape and movement modeling and anthropometry, building and applying virtual humans, medical and rehabilitation applications, as well as industrial and ergonomic applications.

Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

Author : Jean-Luc Mari
Publisher : John Wiley & Sons
ISBN 13 : 1786300419
Total Pages : 194 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis by : Jean-Luc Mari

Download or read book Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis written by Jean-Luc Mari and published by John Wiley & Sons. This book was released on 2020-01-02 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and facilitate description and categorization according to specific criteria. This book adopts the point of view of discrete mathematics, the aim of which is to propose discrete counterparts to concepts mathematically defined in continuous terms. It explains how standard geometric and topological notions of surfaces can be calculated and computed on a 3D surface mesh, as well as their use for shape analysis. Several applications are also detailed, demonstrating that each of them requires specific adjustments to fit with generic approaches. The book is intended not only for students, researchers and engineers in computer science and shape analysis, but also numerical geologists, anthropologists, biologists and other scientists looking for practical solutions to their shape analysis, understanding or recognition problems.

Statistical Shape Analysis

Author : Ian L. Dryden
Publisher : John Wiley & Sons
ISBN 13 : 1119072514
Total Pages : 496 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Statistical Shape Analysis by : Ian L. Dryden

Download or read book Statistical Shape Analysis written by Ian L. Dryden and published by John Wiley & Sons. This book was released on 2016-07-08 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly revised and updated edition of this introduction to modern statistical methods for shape analysis Shape analysis is an important tool in the many disciplines where objects are compared using geometrical features. Examples include comparing brain shape in schizophrenia; investigating protein molecules in bioinformatics; and describing growth of organisms in biology. This book is a significant update of the highly-regarded `Statistical Shape Analysis’ by the same authors. The new edition lays the foundations of landmark shape analysis, including geometrical concepts and statistical techniques, and extends to include analysis of curves, surfaces, images and other types of object data. Key definitions and concepts are discussed throughout, and the relative merits of different approaches are presented. The authors have included substantial new material on recent statistical developments and offer numerous examples throughout the text. Concepts are introduced in an accessible manner, while retaining sufficient detail for more specialist statisticians to appreciate the challenges and opportunities of this new field. Computer code has been included for instructional use, along with exercises to enable readers to implement the applications themselves in R and to follow the key ideas by hands-on analysis. Statistical Shape Analysis: with Applications in R will offer a valuable introduction to this fast-moving research area for statisticians and other applied scientists working in diverse areas, including archaeology, bioinformatics, biology, chemistry, computer science, medicine, morphometics and image analysis .

Elastic Shape Analysis of Three-Dimensional Objects

Author : Ian H. Jermyn
Publisher : Springer Nature
ISBN 13 : 3031018192
Total Pages : 169 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Elastic Shape Analysis of Three-Dimensional Objects by : Ian H. Jermyn

Download or read book Elastic Shape Analysis of Three-Dimensional Objects written by Ian H. Jermyn and published by Springer Nature. This book was released on 2022-05-31 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical analysis of shapes of 3D objects is an important problem with a wide range of applications. This analysis is difficult for many reasons, including the fact that objects differ in both geometry and topology. In this manuscript, we narrow the problem by focusing on objects with fixed topology, say objects that are diffeomorphic to unit spheres, and develop tools for analyzing their geometries. The main challenges in this problem are to register points across objects and to perform analysis while being invariant to certain shape-preserving transformations. We develop a comprehensive framework for analyzing shapes of spherical objects, i.e., objects that are embeddings of a unit sphere in ℝ, including tools for: quantifying shape differences, optimally deforming shapes into each other, summarizing shape samples, extracting principal modes of shape variability, and modeling shape variability associated with populations. An important strength of this framework is that it is elastic: it performs alignment, registration, and comparison in a single unified framework, while being invariant to shape-preserving transformations. The approach is essentially Riemannian in the following sense. We specify natural mathematical representations of surfaces of interest, and impose Riemannian metrics that are invariant to the actions of the shape-preserving transformations. In particular, they are invariant to reparameterizations of surfaces. While these metrics are too complicated to allow broad usage in practical applications, we introduce a novel representation, termed square-root normal fields (SRNFs), that transform a particular invariant elastic metric into the standard L2 metric. As a result, one can use standard techniques from functional data analysis for registering, comparing, and summarizing shapes. Specifically, this results in: pairwise registration of surfaces; computation of geodesic paths encoding optimal deformations; computation of Karcher means and covariances under the shape metric; tangent Principal Component Analysis (PCA) and extraction of dominant modes of variability; and finally, modeling of shape variability using wrapped normal densities. These ideas are demonstrated using two case studies: the analysis of surfaces denoting human bodies in terms of shape and pose variability; and the clustering and classification of the shapes of subcortical brain structures for use in medical diagnosis. This book develops these ideas without assuming advanced knowledge in differential geometry and statistics. We summarize some basic tools from differential geometry in the appendices, and introduce additional concepts and terminology as needed in the individual chapters.

Shapes and Geometries

Author : Michel C. Delfour
Publisher : SIAM
ISBN 13 : 9780898714890
Total Pages : 512 pages
Book Rating : 4.7/5 (148 download)

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Book Synopsis Shapes and Geometries by : Michel C. Delfour

Download or read book Shapes and Geometries written by Michel C. Delfour and published by SIAM. This book was released on 2001-01-01 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.

Mathematical Tools for Shape Analysis and Description

Author : Silvia Biasotti
Publisher : Springer Nature
ISBN 13 : 303179558X
Total Pages : 124 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Mathematical Tools for Shape Analysis and Description by : Silvia Biasotti

Download or read book Mathematical Tools for Shape Analysis and Description written by Silvia Biasotti and published by Springer Nature. This book was released on 2022-06-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice. Table of Contents: Acknowledgments / Figure Credits / About this Book / 3D Shape Analysis in a Nutshell / Geometry, Topology, and Shape Representation / Differential Geometry and Shape Analysis / Spectral Methods for Shape Analysis / Maps and Distances between Spaces / Algebraic Topology and Topology Invariants / Differential Topology and Shape Analysis / Reeb Graphs / Morse and Morse-Smale Complexes / Topological Persistence / Beyond Geometry and Topology / Resources / Bibliography / Authors' Biographies

3D Shape

Author : Zygmunt Pizlo
Publisher : MIT Press
ISBN 13 : 026251513X
Total Pages : 295 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis 3D Shape by : Zygmunt Pizlo

Download or read book 3D Shape written by Zygmunt Pizlo and published by MIT Press. This book was released on 2010 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zygmunt Pizlo is Professor of Psychological Sciences and Electrical and Computer Engineering (by courtesy) at Purdue University.

Shape in Medical Imaging

Author : Martin Reuter
Publisher : Springer Nature
ISBN 13 : 303061056X
Total Pages : 160 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Shape in Medical Imaging by : Martin Reuter

Download or read book Shape in Medical Imaging written by Martin Reuter and published by Springer Nature. This book was released on 2020-10-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Workshop on Shape in Medical Imaging, ShapeMI 2020, which was held in conjunction with the 23rd International Conference on Medical Image Computing and Computer Assistend Intervention, MICCAI 2020, in October 2020. The conference was planned to take place in Lima, Peru, but changed to a virtual format due to the COVID-19 pandemic. The 12 full papers included in this volume were carefully reviewed and selected from 18 submissions. They were organized in topical sections named: methods; learning; and applications.

Shape Analysis and Classification

Author : Luciano da Fontoura Costa
Publisher : CRC Press
ISBN 13 : 9781420037555
Total Pages : 688 pages
Book Rating : 4.0/5 (375 download)

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Book Synopsis Shape Analysis and Classification by : Luciano da Fontoura Costa

Download or read book Shape Analysis and Classification written by Luciano da Fontoura Costa and published by CRC Press. This book was released on 2010-12-12 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in shape analysis impact a wide range of disciplines, from mathematics and engineering to medicine, archeology, and art. Anyone just entering the field, however, may find the few existing books on shape analysis too specific or advanced, and for students interested in the specific problem of shape recognition and characterization, traditio

Statistical Shape and Deformation Analysis

Author : Guoyan Zheng
Publisher : Academic Press
ISBN 13 : 0128104945
Total Pages : 510 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Statistical Shape and Deformation Analysis by : Guoyan Zheng

Download or read book Statistical Shape and Deformation Analysis written by Guoyan Zheng and published by Academic Press. This book was released on 2017-03-23 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Shape and Deformation Analysis: Methods, Implementation and Applications contributes enormously to solving different problems in patient care and physical anthropology, ranging from improved automatic registration and segmentation in medical image computing to the study of genetics, evolution and comparative form in physical anthropology and biology. This book gives a clear description of the concepts, methods, algorithms and techniques developed over the last three decades that is followed by examples of their implementation using open source software. Applications of statistical shape and deformation analysis are given for a wide variety of fields, including biometry, anthropology, medical image analysis and clinical practice. - Presents an accessible introduction to the basic concepts, methods, algorithms and techniques in statistical shape and deformation analysis - Includes implementation examples using open source software - Covers real-life applications of statistical shape and deformation analysis methods

Measuring Shape

Author : F. Brent Neal
Publisher : CRC Press
ISBN 13 : 1439855994
Total Pages : 440 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Measuring Shape by : F. Brent Neal

Download or read book Measuring Shape written by F. Brent Neal and published by CRC Press. This book was released on 2017-12-19 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: "John Russ is the master of explaining how image processing gets applied to real-world situations. With Brent Neal, he’s done it again in Measuring Shape, this time explaining an expanded toolbox of techniques that includes useful, state-of-the-art methods that can be applied to the broad problem of understanding, characterizing, and measuring shape. He has a gift for finding the kernel of a particular algorithm, explaining it in simple terms, then giving concrete examples that are easily understood. His perspective comes from solving real-world problems and separating out what works in practice from what is just an abstract curiosity." —Tom Malzbender, Hewlett-Packard Laboratories, Palo Alto, California, USA Useful for those working in fields including industrial quality control, research, and security applications, Measuring Shape is a handbook for the practical application of shape measurement. Covering a wide range of shape measurements likely to be encountered in the literature and in software packages, this book presents an intentionally diverse set of examples that illustrate and enable readers to compare methods used for measurement and quantitative description of 2D and 3D shapes. It stands apart through its focus on examples and applications, which help readers quickly grasp the usefulness of presented techniques without having to approach them through the underlying mathematics. An elusive concept, shape is a principal governing factor in determining the behavior of objects and structures. Essential to recognizing and classifying objects, it is the central link in manmade and natural processes. Shape dictates everything from the stiffness of a construction beam, to the ability of a leaf to catch water, to the marketing and packaging of consumer products. This book emphasizes techniques that are quantitative and produce a meaningful yet compact set of numerical values that can be used for statistical analysis, comparison, correlation, classification, and identification. Written by two renowned authors from both industry and academia, this resource explains why users should select a particular method, rather than simply discussing how to use it. Showcasing each process in a clear, accessible, and well-organized way, they explore why a particular one might be appropriate in a given situation, yet a poor choice in another. Providing extensive examples, plus full mathematical descriptions of the various measurements involved, they detail the advantages and limitations of each method and explain the ways they can be implemented to discover important correlations between shape and object history or behavior. This uncommon assembly of information also includes sets of data on real-world objects that are used to compare the performance and utility of the various presented approaches.

Shape Analysis in Medical Image Analysis

Author : Shuo Li
Publisher : Springer Science & Business Media
ISBN 13 : 3319038133
Total Pages : 441 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Shape Analysis in Medical Image Analysis by : Shuo Li

Download or read book Shape Analysis in Medical Image Analysis written by Shuo Li and published by Springer Science & Business Media. This book was released on 2014-01-28 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains thirteen contributions from invited experts of international recognition addressing important issues in shape analysis in medical image analysis, including techniques for image segmentation, registration, modelling and classification and applications in biology, as well as in cardiac, brain, spine, chest, lung and clinical practice. This volume treats topics such as for example, anatomic and functional shape representation and matching; shape-based medical image segmentation; shape registration; statistical shape analysis; shape deformation; shape-based abnormity detection; shape tracking and longitudinal shape analysis; machine learning for shape modeling and analysis; shape-based computer-aided-diagnosis; shape-based medical navigation; benchmark and validation of shape representation, analysis and modeling algorithms. This work will be of interest to researchers, students and manufacturers in the fields of artificial intelligence, bioengineering, biomechanics, computational mechanics, computational vision, computer sciences, human motion, mathematics, medical imaging, medicine, pattern recognition and physics.

Shape Analysis and Structuring

Author : Leila de Floriani
Publisher : Springer Science & Business Media
ISBN 13 : 3540332650
Total Pages : 305 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Shape Analysis and Structuring by : Leila de Floriani

Download or read book Shape Analysis and Structuring written by Leila de Floriani and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a lot of recent developments in the field, this much-needed book has come at just the right time. It covers a variety of topics related to preserving and enhancing shape information at a geometric level. The contributors also cover subjects that are relevant to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships.