Numerical geometry of images - theory, algorithms, and applications

Short introduction to calculus of variations.- Short introduction to differential geometry.- Curve evolution theory and invariant signatures.- The Osher-Sethian level-set method.- The level-set method: numerical considerations.- Mathematical morphology.- Distance maps and skeletons.- Fast marching methods.- 2D and 3D image segmentation.- Geometric framework in image processing. - Solutions to selected problems - Texture Mapping, Matching Isometric Surfaces, and 3D Face Recognition - Index