Title :
Fast and Accurate Approximation of the Euclidean Opening Function in Arbitrary Dimension
Author :
Coeurjolly, David
Author_Institution :
LIRIS, Univ. de Lyon, Lyon, France
Abstract :
In this paper, we present a fast and accurate approximation of the Euclidean opening function which is a wide-used tool in morphological mathematics to analyze binary shapes since it allows us to define a local thickness distribution. The proposed algorithm can be defined in arbitrary dimension thanks to the existing techniques to compute the discrete power diagram.
Keywords :
approximation theory; computational geometry; mathematical morphology; Euclidean opening function approximation; arbitrary dimension; binary shapes analysis; discrete power diagram; local thickness distribution; morphological mathematics; Approximation algorithms; Approximation methods; Bismuth; Computational efficiency; Euclidean distance; Geometry; Shape;
Conference_Titel :
Pattern Recognition (ICPR), 2010 20th International Conference on
Conference_Location :
Istanbul
Print_ISBN :
978-1-4244-7542-1
DOI :
10.1109/ICPR.2010.65