Fast Euclidean distance mapping using ordered propagation

Oleg G. Okun · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1998

A method of the Euclidean distance map generation is proposed which reduces the number of multiplication operations used to compute distances. This method belongs to a class of the ordered propagation algorithms using masks whose shape depends on a direction of the distance value propagation. To obtain Euclidean distances, we apply two non-Euclidean transforms simultaneously so that our approach is faster than other techniques because it uses only additions instead of multiplication operations when labeling the distance map. Experiments confirm a correctness of our approach and memory requirements for it do not exceed those for other transforms with the ordered propagation.

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