%0 Conference Proceedings
%A Sussner, Peter,
%A Valle, Marcos Eduardo,
%@affiliation Universidade Estadual de Campinas, Dept. of Applied Mathematics,
%T A brief account of the relations between gray-scale mathematical morphologies
%B Brazilian Symposium on Computer Graphics and Image Processing, 18 (SIBGRAPI)
%E Rodrigues, Maria Andréia Formico,
%E Frery, Alejandro César,
%8 9-12 Oct. 2005
%J Los Alamitos
%I IEEE Computer Society
%K Mathematical morphology, image processing, binary image, gray-scale image, fuzzy mathematical morphology.
%X Mathematical morphology was originally conceived as a set theoretic approach for the processing of binary images. Approaches that extend classical binary morphology to gray-scale images are either based on umbras, thresholds, level sets, or fuzzy sets. Complete lattices form a general framework for all of these approaches. This paper discusses and compares several approaches to gray-scale mathematical morphology including the threshold, umbra, and level set approaches as well as fuzzy approaches.