عنوان

Mathematical tools for shape analysis and description

شابک

1627053646

شابک

9781627053648

شابک اشتباه

9781627053631 (paperback)

شماره

b421476

عنوان اصلي

Mathematical tools for shape analysis and description

نام عام مواد

[Book]

نام نخستين پديدآور

Silvia Biasotti, Bianca Falcidieno, Daniela Giorgi, and Michela Spagnuolo, Consiglio Nazionale delle Ricerche, Italy

نام خاص و کميت اثر

xiv, 124 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

Synthesis lectures on computer graphics and animation,

مشخصه جلد

#16

شاپا ي ISSN فروست

1933-9003 ;

متن يادداشت

Includes bibliographical references (pages 103-121)

متن يادداشت

1. About this book -- 1.1 Shape and shape analysis -- 1.2 Why math for 3D shape analysis? -- 1.3 What this book is and what it is not -- 1.4 Expected readers -- 1.5 How this book is organized --

متن يادداشت

10. Morse and Morse-Smale complexes -- 10.1 Basic concepts -- 10.2 Concepts in action --

متن يادداشت

11. Topological persistence -- 11.1 Basic concepts -- 11.2 Persistence diagrams -- 11.3 Persistence spaces -- 11.4 Concepts in action --

متن يادداشت

12. Beyond geometry and topology -- 12.1 3D textured shape retrieval -- 12.2 Qualitative organization of collections of 3D models -- 12.3 Recognition of functional parts of man-made objects --

متن يادداشت

13. Resources -- 13.1 Software -- 13.2 3D datasets and benchmarks -- 13.2.1 3D datasets -- 13.2.2 Benchmarks and contests -- Bibliography -- Authors' biographies

متن يادداشت

2. 3D shape analysis in a nutshell -- 2.1 3D shape analysis: problems and solutions -- 2.2 Applications --

متن يادداشت

3. Geometry, topology, and shape representation -- 3.1 Metric and metric spaces -- 3.2 Geodesic distance -- 3.3 Topological spaces -- 3.4 Continuous and smooth functions between topological spaces -- 3.5 Manifolds -- 3.6 Charts -- 3.7 Smooth manifold -- 3.8 Orientability -- 3.9 Tangent space -- 3.10 Riemannian manifold --

متن يادداشت

4. Differential geometry and shape analysis -- 4.1 Geodesic distances on surfaces -- 4.1.1 Computing geodesics on meshes -- 4.1.2 Concepts in action -- 4.2 Curvature on surfaces -- 4.2.1 Computing curvature on meshes -- 4.2.2 Concepts in action --

متن يادداشت

5. Spectral methods for shape analysis -- 5.1 Laplace operators -- 5.1.1 Concepts in action -- 5.2 Heat equation -- 5.2.1 Concepts in action --

متن يادداشت

6. Maps and distances between spaces -- 6.1 Space transformations -- 6.1.1 Isometries -- 6.1.2 Affine transformations -- 6.1.3 Mobius transformation -- 6.1.4 Concepts in action -- 6.2 Distances between spaces -- 6.2.1 Hausdorff metric -- 6.2.2 Bottleneck distance -- 6.2.3 Gromov-Hausdorff measure -- 6.2.4 Natural pseudo-distance --

متن يادداشت

7. Algebraic topology and topology invariants -- 7.1 Cell decompositions -- 7.1.1 Concepts in action -- 7.2 Homology -- 7.2.1 Concepts in action --

متن يادداشت

8. Differential topology and shape analysis -- 8.1 Critical points and Morse functions -- 8.1.1 Integral lines -- 8.1.2 Concepts in action -- 8.2 Topological analysis through (lower) level sets -- 8.3 Homology of manifolds --

متن يادداشت

9. Reeb graphs -- 9.1 Reeb graph definition -- 9.2 Reeb graphs on 2- and 3-manifolds -- 9.3 Concepts in action --

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0

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8

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8

بدون عنوان

8

متن يادداشت

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

عنوان

Mathematical tools for shape analysis and description.

شماره استاندارد بين المللي کتاب و موسيقي

1627053638

موضوع مستند نشده

Image analysis-- Mathematics

موضوع مستند نشده

Image processing-- Mathematics

موضوع مستند نشده

Shapes-- Mathematics

موضوع مستند نشده

Three-dimensional imaging-- Mathematics

موضوع مستند نشده

COM-- 000000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Biasotti, Silvia

مستند نام اشخاص تاييد نشده

Falcidieno, B., (Bianca)

مستند نام اشخاص تاييد نشده

Giorgi, Daniela, (Mathematician)

مستند نام اشخاص تاييد نشده

Spagnuolo, Michela

تاريخ عمليات

20141117095717.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y