Shapes and Diffeomorphisms. 2nd ed. 2019
- 種類:
- 電子ブック
- 責任表示:
- by Laurent Younes
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2019
- 著者名:
- シリーズ名:
- Applied Mathematical Sciences ; 171
- ISBN:
- 9783662584965 [3662584964]
- 注記:
- Preface to the 2nd Edition -- Preface to the 1st Edition -- Parametrized Plane Curves -- Medial Axis -- Local Properties of Surfaces -- Computations on Triangulated Surfaces- Evolving Curves and Surfaces -- Deformable templates -- Ordinary Differential Equations and Groups of Diffeomorphisms -- Building Admissible Spaces -- Deformable Objects and Matching Functionals -- Diffeomorphic Matching -- Distances and Group Actions -- Metamorphosis -- Analyzing Shape Datasets -- Appendices: Elements from Functional Analysis -- Elements from Differential Geometry -- Ordinary Differential Equations -- Introduction to Optimization and Optimal Control Theory. - Principal Component Analysis -- Dynamic Programming -- References -- Index.
This book covers mathematical foundations and methods for the computerized analysis of shapes, providing the requisite background in geometry and functional analysis and introducing various algorithms and approaches to shape modeling, with a special focus on the interesting connections between shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large‒deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control). The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate co - ローカル注記:
- 学内専用E-BOOKS (local access only)
類似資料:
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer Berlin Heidelberg : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
Springer International Publishing : Imprint: Springer |
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![]() Springer International Publishing : Imprint: Springer |