Generation and reconstruction of hv-convex 8-connected discrete sets

Abstract

An algorithm is given to generate 2-dimensional hv-convex 8-connected discrete sets uniformly. This algorithm is based on an extension of a theory previously used for a more special class of hv-convex discrete sets. The second part of the paper deals with the reconstruction of hv-convex 8-connected discrete sets. The main idea of this algorithm is to rewrite the whole reconstruction problem as a 2SAT problem. Using some a priori knowledge we reduced the number of iterations and the number of clauses in the 2SAT expression which results in reduction of execution time.