FAST COMPUTATION OF ALL PAIRS OF GEODESIC DISTANCES

Guillaume Noyel, Jesús Angulo, Dominique Jeulin

Abstract

Computing an array of all pairs of geodesic distances between the pixels of an image is time consuming. In the sequel, we introduce new methods exploiting the redundancy of geodesic propagations and compare them to an existing one. We show that our method in which the source point of geodesic propagations is chosen according to its minimum number of distances to the other points, improves the previous method up to 32 % and the naive method up to 50 % in terms of reduction of the number of operations.

Keywords
all pairs of geodesic distances; fast marching; geodesic propagation

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DOI: 10.5566/ias.v30.p101-109

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)