Geometric And Topological Mesh Feature Extraction For 3d Shape Analysis

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Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

Jean-Luc Mari,Franck Hétroy-Wheeler,Gérard Subsol

Author : Jean-Luc Mari,Franck Hétroy-Wheeler,Gérard Subsol
Publisher : John Wiley & Sons
Page : 194 pages
File Size : 53,9 Mb
Release : 2020-01-02
Category : Mathematics
ISBN : 9781786300416

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Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis by Jean-Luc Mari,Franck Hétroy-Wheeler,Gérard Subsol Pdf

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.

Topology Optimization Design of Heterogeneous Materials and Structures

Daicong Da

Author : Daicong Da
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 41,5 Mb
Release : 2020-02-26
Category : Mathematics
ISBN : 9781786305589

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Topology Optimization Design of Heterogeneous Materials and Structures by Daicong Da Pdf

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.

3D Shape Analysis

Hamid Laga,Yulan Guo,Hedi Tabia,Robert B. Fisher,Mohammed Bennamoun

Author : Hamid Laga,Yulan Guo,Hedi Tabia,Robert B. Fisher,Mohammed Bennamoun
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 43,8 Mb
Release : 2019-01-07
Category : Mathematics
ISBN : 9781119405108

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3D Shape Analysis by Hamid Laga,Yulan Guo,Hedi Tabia,Robert B. Fisher,Mohammed Bennamoun Pdf

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.

Mesh Adaptation for Computational Fluid Dynamics, Volume 1

Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus

Author : Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus
Publisher : John Wiley & Sons
Page : 260 pages
File Size : 48,7 Mb
Release : 2022-08-30
Category : Science
ISBN : 9781394163984

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Mesh Adaptation for Computational Fluid Dynamics, Volume 1 by Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus Pdf

Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution. This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.

IGA

Robin Bouclier,Thibaut Hirschler

Author : Robin Bouclier,Thibaut Hirschler
Publisher : John Wiley & Sons
Page : 260 pages
File Size : 47,6 Mb
Release : 2022-06-06
Category : Mathematics
ISBN : 9781119988540

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IGA by Robin Bouclier,Thibaut Hirschler Pdf

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, about fifteen years after its creation, substantial works are being reported in IGA, which make it very competitive in scientific computing. This book provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis, then proposing original solutions that answer the issues from an analytical point of view, and, eventually, studying the shape optimization of structures, which is one of the greatest applications of IGA. To handle complex structures, a full analysis-to-optimization framework is developed, based on non-invasive coupling, parallel domain decomposition and immersed geometrical modeling. This seems to be very robust, taking on all of the attractive features of IGA (the design–analysis link, numerical efficiency and natural regularization), giving us the opportunity to explore new types of design.

Mesh Adaptation for Computational Fluid Dynamics, Volume 2

Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus

Author : Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus
Publisher : John Wiley & Sons
Page : 244 pages
File Size : 54,8 Mb
Release : 2022-08-23
Category : Science
ISBN : 9781394164011

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Mesh Adaptation for Computational Fluid Dynamics, Volume 2 by Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus Pdf

Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 2 is the second of two volumes and introduces topics including optimal control formulation, minimizing a goal function, and extending the steady algorithm to unsteady physics. Also covered are multi-rate strategies, steady inviscid flows in aeronautics and an extension to viscous flows. This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.

Finite Element Method to Model Electromagnetic Systems in Low Frequency

Francis Piriou,Stephane Clenet

Author : Francis Piriou,Stephane Clenet
Publisher : John Wiley & Sons
Page : 243 pages
File Size : 53,7 Mb
Release : 2024-02-23
Category : Science
ISBN : 9781394276479

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Finite Element Method to Model Electromagnetic Systems in Low Frequency by Francis Piriou,Stephane Clenet Pdf

Numerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by engineers and researchers in industry, as well as in research centers. This book describes in detail all the steps required to discretize Maxwell’s equations using the finite element method. This involves progressing from the basic equations in the continuous domain to equations in the discrete domain that are solved by a computer. This approach is carried out with a constant focus on maintaining a link between physics, i.e. the properties of electromagnetic fields, and numerical analysis. Numerous academic examples, which are used throughout the various stages of model construction, help to clarify the developments.

Numerical Simulation, An Art of Prediction, Volume 2

Jean-François Sigrist

Author : Jean-François Sigrist
Publisher : John Wiley & Sons
Page : 324 pages
File Size : 55,9 Mb
Release : 2020-01-08
Category : Mathematics
ISBN : 9781119694755

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Numerical Simulation, An Art of Prediction, Volume 2 by Jean-François Sigrist Pdf

Numerical simulation is a technique of major importance in various technical and scientific fields. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the second of two volumes and gives examples of the uses of numerical simulation in various scientific and technical fields: agriculture, industry, Earth and universe sciences, meteorology and climate studies, energy, biomechanics and human and social sciences.

Digital Human Modeling and Medicine

Gunther Paul,Mohamed H. Doweidar

Author : Gunther Paul,Mohamed H. Doweidar
Publisher : Academic Press
Page : 926 pages
File Size : 54,5 Mb
Release : 2022-12-04
Category : Technology & Engineering
ISBN : 9780128242186

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Digital Human Modeling and Medicine by Gunther Paul,Mohamed H. Doweidar Pdf

Digital Human Modeling and Medicine: The Digital Twin explores the body of knowledge and state-of-the-art in Digital Human Modeling (DHM) and its applications in medicine. DHM is the science of representing humans with their physical properties, characteristics and behaviors in computerized, virtual models. These models can be used standalone or integrated with other computerized object design systems to both design or study designs of medical devices or medical device products and their relationship with humans. They serve as fast and cost-efficient computer-based tools for the assessment of human functional systems and human-system interaction. This book provides an industry first introductory and practitioner focused overview of human simulation tools, with detailed chapters describing body functional elements and organs, organ interactions and fields of application. Thus, DHM tools and a specific scientific/practical problem – functional study of the human body – are linked in a coherent framework. Eventually the book shows how DHM interfaces with common physical devices in medical practice, answering to a gap in literature and a common practitioner question. Case studies provide the applied knowledge for practitioners to make informed decisions. A non-specialist level, up-to-date overview and introduction to all medically relevant DHM systems to inform trialing, procurement decisions and initial application Includes user-level examples and case studies of DHM applications in various medical fields Clearly structured and focused compendium that is easy to access, read and understand

Deterministic Numerical Modeling of Soil Structure Interaction

Stephane Grange,Diana Salciarini

Author : Stephane Grange,Diana Salciarini
Publisher : John Wiley & Sons
Page : 242 pages
File Size : 52,6 Mb
Release : 2022-01-26
Category : Technology & Engineering
ISBN : 9781786307989

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Deterministic Numerical Modeling of Soil Structure Interaction by Stephane Grange,Diana Salciarini Pdf

In order to describe soil–structure interaction in various situations (nonlinear, static, dynamic, hydro-mechanical couplings), this book gives an overview of the main modeling methods developed in geotechnical engineering. The chapters are centered around: the finite element method (FEM), the finite difference method (FDM), and the discrete element method (DEM). Deterministic Numerical Modeling of Soil–Structure Interaction allows the reader to explore the classical and well-known FEM and FDM, using interface and contact elements available for coupled hydro-mechanical problems. Furthermore, this book provides insight on the DEM, adapted for interaction laws at the grain level. Within a classical finite element framework, the concept of macro-element is introduced, which generalizes constitutive laws of SSI and is particularly straightforward in dynamic situations. Finally, this book presents the SSI, in the case of a group of structures, such as buildings in a town, using the notion of metamaterials and a geophysics approach.

Numerical Simulation, An Art of Prediction 1

Jean-François Sigrist

Author : Jean-François Sigrist
Publisher : John Wiley & Sons
Page : 218 pages
File Size : 52,7 Mb
Release : 2019-12-18
Category : Mathematics
ISBN : 9781119686712

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Numerical Simulation, An Art of Prediction 1 by Jean-François Sigrist Pdf

Numerical simulation is a technique of major importance in various technical and scientific fields. Used to understand diverse physical phenomena or to design everyday objects, it plays a major role in innovation in the industrial sector. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the first of two volumes and focuses on the principles, methods and industrial practice of numerical modeling.

The Finite Element Method

Patrick Ciarlet,Eric Luneville

Author : Patrick Ciarlet,Eric Luneville
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 49,9 Mb
Release : 2023-07-26
Category : Mathematics
ISBN : 9781394229741

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The Finite Element Method by Patrick Ciarlet,Eric Luneville Pdf

The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.

IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2

Robin Bouclier,Jean-Charles Passieux

Author : Robin Bouclier,Jean-Charles Passieux
Publisher : John Wiley & Sons
Page : 244 pages
File Size : 53,6 Mb
Release : 2023-07-26
Category : Mathematics
ISBN : 9781394229628

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IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 by Robin Bouclier,Jean-Charles Passieux Pdf

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, almost twenty years after its creation, substantial works are being reported in IGA, making it very competitive in scientific computing. This book proposes to use IGA jointly with standard finite element methods (FEM), presenting IGA as a projection of FEM on a more regular reduced basis. By shedding new light on how IGA relates to FEM, we can see how IGA can be implemented on top of an FE code in order to improve the solution of problems that require more regularity. This is illustrated by using IGA with FEM in a non-invasive fashion to perform efficient and robust multiscale global/local simulations in solid mechanics. Furthermore, we show that IGA can regularize the inverse problem of FE digital image correlation in experimental mechanics.

Image and Graphics

Yuxin Peng,Shi-Min Hu,Moncef Gabbouj,Kun Zhou,Michael Elad,Kun Xu

Author : Yuxin Peng,Shi-Min Hu,Moncef Gabbouj,Kun Zhou,Michael Elad,Kun Xu
Publisher : Springer Nature
Page : 840 pages
File Size : 53,6 Mb
Release : 2021-09-30
Category : Computers
ISBN : 9783030873615

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Image and Graphics by Yuxin Peng,Shi-Min Hu,Moncef Gabbouj,Kun Zhou,Michael Elad,Kun Xu Pdf

This three-volume set LNCS 12888, 12898, and 12890 constitutes the refereed conference proceedings of the 11th International Conference on Image and Graphics, ICIG 2021, held in Haikou, China, in August 2021.* The 198 full papers presented were selected from 421 submissions and focus on advances of theory, techniques and algorithms as well as innovative technologies of image, video and graphics processing and fostering innovation, entrepreneurship, and networking. *The conference was postponed due to the COVID-19 pandemic.

Mathematical Tools for Shape Analysis and Description

Silvia Biasotti,Bianca Falcidieno,Daniela Giorgi,Michela Spagnuolo

Author : Silvia Biasotti,Bianca Falcidieno,Daniela Giorgi,Michela Spagnuolo
Publisher : Springer Nature
Page : 124 pages
File Size : 53,6 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 9783031795589

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Mathematical Tools for Shape Analysis and Description by Silvia Biasotti,Bianca Falcidieno,Daniela Giorgi,Michela Spagnuolo Pdf

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

Geometric And Topological Mesh Feature Extraction For 3d Shape Analysis

Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis by Jean-Luc Mari,Franck Hétroy-Wheeler,Gérard Subsol Pdf

Topology Optimization Design of Heterogeneous Materials and Structures by Daicong Da Pdf

3D Shape Analysis by Hamid Laga,Yulan Guo,Hedi Tabia,Robert B. Fisher,Mohammed Bennamoun Pdf

Mesh Adaptation for Computational Fluid Dynamics, Volume 1 by Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus Pdf

IGA by Robin Bouclier,Thibaut Hirschler Pdf

Mesh Adaptation for Computational Fluid Dynamics, Volume 2 by Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus Pdf

Finite Element Method to Model Electromagnetic Systems in Low Frequency by Francis Piriou,Stephane Clenet Pdf

Numerical Simulation, An Art of Prediction, Volume 2 by Jean-François Sigrist Pdf

Digital Human Modeling and Medicine by Gunther Paul,Mohamed H. Doweidar Pdf

Deterministic Numerical Modeling of Soil Structure Interaction by Stephane Grange,Diana Salciarini Pdf

Numerical Simulation, An Art of Prediction 1 by Jean-François Sigrist Pdf

The Finite Element Method by Patrick Ciarlet,Eric Luneville Pdf

IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 by Robin Bouclier,Jean-Charles Passieux Pdf

Image and Graphics by Yuxin Peng,Shi-Min Hu,Moncef Gabbouj,Kun Zhou,Michael Elad,Kun Xu Pdf

Mathematical Tools for Shape Analysis and Description by Silvia Biasotti,Bianca Falcidieno,Daniela Giorgi,Michela Spagnuolo Pdf

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