11 August 1995 Sufficient conditions for 3D parallel thinning algorithms
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Abstract
A simple point of an object is a point whose removal does not change the topology. However, the simultaneous deletion of simple points may change the topology. A popular way for overcoming this problem is to use a directional strategy. This method has good properties in 2D discrete spaces but it does not work in 3D. Through the notion of P-simple point we propose a general strategy for removing points in parallel without altering the topology of a 3D space. We derive some new sufficient conditions such that any parallel thinning algorithm satisfying these conditions is ensured to preserve topology.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gilles Bertrand, "Sufficient conditions for 3D parallel thinning algorithms", Proc. SPIE 2573, Vision Geometry IV, (11 August 1995); doi: 10.1117/12.216440; https://doi.org/10.1117/12.216440
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