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.

Elastic Shape Analysis of Three-Dimensional Objects

Author : Ian H. Jermyn
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681730286
Total Pages : 187 pages
Book Rating : 4.6/5 (817 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 Morgan & Claypool Publishers. This book was released on 2017-09-15 with total page 187 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.

3D Imaging, Analysis and Applications

Author : Yonghuai Liu
Publisher : Springer Nature
ISBN 13 : 3030440702
Total Pages : 736 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis 3D Imaging, Analysis and Applications by : Yonghuai Liu

Download or read book 3D Imaging, Analysis and Applications written by Yonghuai Liu and published by Springer Nature. This book was released on 2020-09-11 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for postgraduate studies in the field of 3D Computer Vision. It also provides a useful reference for industrial practitioners; for example, in the areas of 3D data capture, computer-aided geometric modelling and industrial quality assurance. This second edition is a significant upgrade of existing topics with novel findings. Additionally, it has new material covering consumer-grade RGB-D cameras, 3D morphable models, deep learning on 3D datasets, as well as new applications in the 3D digitization of cultural heritage and the 3D phenotyping of crops. Overall, the book covers three main areas: ● 3D imaging, including passive 3D imaging, active triangulation 3D imaging, active time-of-flight 3D imaging, consumer RGB-D cameras, and 3D data representation and visualisation; ● 3D shape analysis, including local descriptors, registration, matching, 3D morphable models, and deep learning on 3D datasets; and ● 3D applications, including 3D face recognition, cultural heritage and 3D phenotyping of plants. 3D computer vision is a rapidly advancing area in computer science. There are many real-world applications that demand high-performance 3D imaging and analysis and, as a result, many new techniques and commercial products have been developed. However, many challenges remain on how to analyse the captured data in a way that is sufficiently fast, robust and accurate for the application. Such challenges include metrology, semantic segmentation, classification and recognition. Thus, 3D imaging, analysis and their applications remain a highly-active research field that will continue to attract intensive attention from the research community with the ultimate goal of fully automating the 3D data capture, analysis and inference pipeline.

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.

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 2020-01-15 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. Presents the latest advances in spectral geometric processing for 3D shape analysis applications, such as shape classification, shape matching, medical imaging, etc. Provides intuitive links between fundamental geometric theories and real-world applications, thus bridging the gap between theory and practice Describes new theoretical breakthroughs in applying spectral methods for non-isometric motion analysis Gives insights for developing spectral geometry-based approaches for 3D shape analysis and deep learning of shape geometry

Information Processing in Medical Imaging

Author : Gábor Székely
Publisher : Springer Science & Business Media
ISBN 13 : 3642220916
Total Pages : 806 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Information Processing in Medical Imaging by : Gábor Székely

Download or read book Information Processing in Medical Imaging written by Gábor Székely and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Conference on Information Processing in Medical Imaging, IPMI 2011, held at Kloster Irsee, Germany, in July 2011. The 24 full papers and 39 poster papers included in this volume were carefully reviewed and selected from 224 submissions. The papers are organized in topical sections on segmentation, statistical methods, shape analysis, registration, diffusion imaging, disease progression modeling, and computer aided diagnosis. The poster sessions deal with segmentation, shape analysis, statistical methods, image reconstruction, microscopic image analysis, computer aided diagnosis, diffusion imaging, functional brain analysis, registration and other related topics.

Diffusion-Driven Wavelet Design for Shape Analysis

Author : Tingbo Hou
Publisher : CRC Press
ISBN 13 : 148222030X
Total Pages : 220 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Diffusion-Driven Wavelet Design for Shape Analysis by : Tingbo Hou

Download or read book Diffusion-Driven Wavelet Design for Shape Analysis written by Tingbo Hou and published by CRC Press. This book was released on 2014-10-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Design Methods and Generation Schemes to State-of-the-Art ApplicationsWavelets are powerful tools for functional analysis and geometry processing, enabling researchers to determine the structure of data and analyze 3D shapes. Suitable for researchers in computer graphics, computer vision, visualization, medical imaging, and geometric modeling

Innovations for Shape Analysis

Author : Michael Breuß
Publisher : Springer Science & Business Media
ISBN 13 : 3642341411
Total Pages : 510 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Innovations for Shape Analysis by : Michael Breuß

Download or read book Innovations for Shape Analysis written by Michael Breuß and published by Springer Science & Business Media. This book was released on 2013-04-04 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe. Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers.

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

Computer Analysis of Images and Patterns

Author : Walter Kropatsch
Publisher : Springer
ISBN 13 : 3540742727
Total Pages : 1008 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computer Analysis of Images and Patterns by : Walter Kropatsch

Download or read book Computer Analysis of Images and Patterns written by Walter Kropatsch and published by Springer. This book was released on 2007-08-18 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 12th International Conference on Computer Analysis of Images and Patterns are presented in this volume. The papers cover motion detection and tracking, medical imaging, biometrics, color, curves and surfaces beyond two dimensions, reading characters, words and lines, image segmentation, shape, image registration and matching, signal decomposition and invariants, and features and classification.

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.

Digital Human Modeling

Author : Vincent D. Duffy
Publisher : Springer
ISBN 13 : 3540733213
Total Pages : 1068 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 1068 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.

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

Tactile Display for Virtual 3D Shape Rendering

Author : Alessandro Mansutti
Publisher : Springer
ISBN 13 : 3319489860
Total Pages : 112 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Tactile Display for Virtual 3D Shape Rendering by : Alessandro Mansutti

Download or read book Tactile Display for Virtual 3D Shape Rendering written by Alessandro Mansutti and published by Springer. This book was released on 2017-02-15 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a novel system for the simultaneous visual and tactile rendering of product shapes which allows designers to simultaneously touch and see new product shapes during the conceptual phase of product development. This system offers important advantages, including potential cost and time savings, compared with the standard product design process in which digital 3D models and physical prototypes are often repeatedly modified until an optimal design is achieved. The system consists of a tactile display that is able to represent, within a real environment, the shape of a product. Designers can explore the rendered surface by touching curves lying on the product shape, selecting those curves that can be considered style features and evaluating their aesthetic quality. In order to physically represent these selected curves, a flexible surface is modeled by means of servo-actuated modules controlling a physical deforming strip. The tactile display is designed so as to be portable, low cost, modular, and high performing in terms of the types of shape that it can represent.

Statistical Shape and Deformation Analysis

Author : Guoyan Zheng
Publisher : Academic Press
ISBN 13 : 0128104945
Total Pages : 508 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 508 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

Image Analysis and Processing – ICIAP 2019

Author : Elisa Ricci
Publisher : Springer Nature
ISBN 13 : 3030306429
Total Pages : 561 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Image Analysis and Processing – ICIAP 2019 by : Elisa Ricci

Download or read book Image Analysis and Processing – ICIAP 2019 written by Elisa Ricci and published by Springer Nature. This book was released on 2019-09-04 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 11751 and 11752 constitutes the refereed proceedings of the 20th International Conference on Image Analysis and Processing, ICIAP 2019, held in Trento, Italy, in September 2019. The 117 papers presented were carefully reviewed and selected from 207 submissions. The papers cover both classic and the most recent trends in image processing, computer vision, and pattern recognition, addressing both theoretical and applicative aspects. They are organized in the following topical sections: Video Analysis and Understanding; Pattern Recognition and Machine Learning; Deep Learning; Multiview Geometry and 3D Computer Vision; Image Analysis, Detection and Recognition; Multimedia; Biomedical and Assistive Technology; Digital Forensics; Image processing for Cultural Heritage.

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.