Numerical Geometry of Images: Theory, Algorithms, and Applications

With the ever-rising volume worldwide of visual content on computers and communication networks, it becomes increasingly important to understand visual processing, to model and evaluate image formation, and to attempt to interpret image content. Numerical Geometry of Images presents an authoritative examination of new computational methods and algorithms in image processing and analysis. In addition to providing the requisite vocabulary for formulating problems, the book describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Many applications, such as shape reconstruction, color-image enhancement and segmentation, edge integration, path planning, and calculation invariant signatures are explored. With its well-organized structure, clarity of presentation, and intuitive style, this new text/reference expedites a solid grasp of the technical material. Only a good background in geometry, linear algebra, and basic calculus is required. Graduate students and professionals with interests in computational geometry, computer vision, image processing, computer graphics, and algorithms will find the book an invaluable and highly practical learning resource.