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Numerical Geometry of Images
Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition,
it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.
Contents:
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
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