@techreport{TR-IC-98-22, number = {IC-98-22}, author = {Francisco Nivando Bezerra and Neucimar Jerônimo Leite}, title = {Some Comments on Thinning Algorithms for 3-D Images}, month = {May}, year = {1998}, institution = {Institute of Computing, University of Campinas}, note = {In English, 9 pages. \par\selectlanguage{english}\textbf{Abstract} The problem of defining simple points in a two-dimensional binary image was extensively discussed in the literature. This definition is more complicated for 3-d images due to the introduction of a new topological component, namely, the tunnel. Recently, some simple-point characterizations for these images have been proposed. In this paper we show the equivalences between these new characterizations and discuss the implementation problems concerned with their use in thinning algorithms. An extension of the 2-d gray-level thinning algorithm to the 3-d case is also presented. } }