《幾何偏微分方程和圖像分析》是2003年 世界圖書出版公司出版的圖書，作者是Guillermo Dapiro。
基本介紹
- 書名：幾何偏微分方程和圖像分析
- 頁數：385
- 出版社： 世界圖書出版公司
- 開本：24
圖書信息,作者簡介,內容簡介,目錄,
圖書信息
出版社: 世界圖書出版公司; 第1版 (2003年9月1日)
平裝: 385頁
開本: 24開
ISBN: 7506259419
條形碼: 9787506259415
尺寸: 22.2 x 14.6 x 2 cm
重量: 481 g
作者簡介
Guillermo Dapiro is a Professor of Electrical and Computer Engineering at the University of Minnesota, where he works on differential geometry and geometric partial differential equation, both in theory and applications in computer vision, image analysis, and computer graphic.
內容簡介
This book is an introduction to the use of geometric partial differential equations (PDEs) in image processing and computer vision. This relatively new research area brings a number of new concepts into the field, providing, among other things, a very fundamental and formal approach to image processing. State-of-the-art practical results in problems such as image segmentation, stereo, image enhancement, distance computations, and object tracking have been obtained with algorithms based on PDE's formulations.
此書為英文版！
目錄
List of figures
Preface
Acknowledgments
Introduction
1 Basic Mathematical Background
1.1 Planar Differential Geometry
1.2 Affine Differential Geometry
1.3 Cartan Moving Frames
1.4 Space Curves
1.5 Three-Dimensional Differential Geometry
1.6 Discrete Differential Geometry
1.7 Differential Invariants and Lie Group Theory
1.8 Basic Concepts of Partial Differential Equations
1.9 Calculus of Variations and Gradient Descent Flows
1.10 Numerical Analysis
Exercises
2 Geometric Curve and Surface Evolution
2.1 Basic Concepts
2.2 Level Sets and Implicit Representations
2.3 Variational Level Sets
2.4 Continuous Mathematical Morphology
2.5 Euclidean and affine Curve Evolution and Shape Analysis
2.6 Euclidean and Affine Surface Evolution
2.7 Area-and Volume-Preserving 3D Flows
2.8 Calssification of Invariant Geometric Flows
Exercises
3 Geodesic Curves and Minimal Surfaces
3.1 Basic Two-Dimensional Derivation
3.2 Three-Dimensional Derivation
3.3 Geodesics in Vector-Valued Images
3.4 Finding the Minimal Geodesic
3.5 Affine Invariant Active Contours
3.6 Additional Extensions and Moditications
3.7 Tracking and Morphing Active Contours
3.8 Stereo
Appendix A
Appendix B
Exercises
4 Geometric Diffusion of Scalar Images
4.1 Gaussian Filitering and Linear Scale Spaces
4.2 Edge-Stopping Diffusion
4.3 Directional Diffusion
4.4 Introducing Prior Knowledge
4.5 Some Order in the PDE Jungle
5 Geometric Diffusion of Vector-Valude Images
6 Diffusion on Nonflat Manifolds
7 Contrast Enhancement
8 Additional Theories and Applications
Bibliography
Index
