Shape in Picture

The fields of image analysis, computer vision, and artificial intelligence all make use of descriptions of shape in grey-level images. Shape description can be regarded as a meeting point of vision research, mathematics, computing science, and the application fields of image analy­ sis, computer vision, and artificial intelligence.



Various fields of image analysis, computer vision, andartificial intelligence require a description of shape ingrey-level images, but the automatic performance of thesetasks can only succeed if a suitable description of shape isavailable. This book presents a comprehensive overview of themathematical description of shape from the viewpoint of abroad range of disciplines. The emphasis is on themethodology and theunderlying mathematics. The concept ofshape is explored in terms of such disciplines as digitaltopology and geometry, categorial shape theory, mathematicalmorphology, wavelets, differential geometry, graph andhierarchical representation methods, and evolutionarysystems.