Topology preservation on 3D images

Cherng-Min Ma

doi:10.1117/12.165004

1 December 1993 Topology preservation on 3D images

Cherng-Min Ma

Proceedings Volume 2060, Vision Geometry II; (1993) https://doi.org/10.1117/12.165004
Event: Optical Tools for Manufacturing and Advanced Automation, 1993, Boston, MA, United States

Abstract

A thinning algorithm must `preserve topology,' but in the case of a parallel thinning algorithm it can be hard to prove that it does so. Ronse has given sufficient conditions which can be used to simplify such proofs in the 2D case. By Ronse's results, the fact that a parallel thinning algorithm is topology preserving can be verified by checking only a rather small number of configurations. This paper introduces Ronse-like sufficient conditions for 3D binary images.

Citation Download Citation

Cherng-Min Ma "Topology preservation on 3D images", Proc. SPIE 2060, Vision Geometry II, (1 December 1993); https://doi.org/10.1117/12.165004

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