SEGMENTATION OF BOUNDARIES INTO CONVEX AND CONCAVE PARTS

Representing a set by its boundary means a considerable losslesss data reduc- tion by decrease of dimensionality. The price for this reduction is that usually boundaries are topologically much more complex than the sets described by them. The aim of this paper is to present an approach for handling the boundary of a set. This approach does not make use of differential geometry. It is shown that it is indeed possible to derive important structural properties of a set by inspecting only its boundary.