Image Reconstruction.- Diffusion Filters and Wavelets.- Total Variation Image Restoration.- PDE-Based Image and Surface Inpainting.- Boundary Extraction, Segmentation and Grouping.- Theories and Applications of Graph Cuts in Vision and Graphics.- Minimal Paths and Fast Marching Methods for Image Analysis.- Integrating Shape and Texture in Deformable Models.- Variational Segmentation with Shape Priors.- Curve Propogation, Level Set Methods and Grouping.- Shape Modeling and Registration.- Invariant Processing and Occlusion Resistant Recognition of Planar Shapes.- Planar Shape Analysis and Its Applications in Image-Based Inferences.- Diffeomorphic Point Matching.- Uncertainty-Driven, Point-Based Image Registration.- Motion Analysis, Optical Flow and Tracking.- Optical Flow Estimation.- Image Alignment and Stitching.- Visual Tracking.- Shape Gradient for Image and Video Segmentation.- Model-Based Human Motion Capture.- Modeling Dynamic Scenes.- 3D from Images, Projective Geometry and Stereo Reconstruction.- Differential Geometry from the Frenet Point of View.- Shape from Shading.- Calibration, Motion and Shape Recovery from 3D Image Sequences.- Multi-view Recontruction of Static and Dynamic Scenes.- Medical Image Analysis.- Interactive Graph-Based Segmentation Methods in Cardiovascular Imaging.- Segmentation of Diffusion Tensor Images.- Statistical Methods of Medical Image Registration.
A marriage of mathematics and computer vision - computational vision - has resulted in an innovative approach to image processing that is reliable across an expanding range of practical tasks. This volume provides a detailed discourse on the mathematical models used in computational vision, from leading educators and active research experts in this field. Topics include: image reconstruction, segmentation and object extraction, shape modeling and registration, motion analysis and tracking, and 3D from images, geometry and reconstruction. The book also includes a detailed study of applications in medical image analysis.