An improved fully parallel 3D thinning algorithm

A note on 'A fully parallel 3D thinning algorithm and its applications'

A 3D thinning algorithm erodes a 3D binary image layer by layer to extract the skeletons. This paper presents a correction to Ma and Sonka’s thinning algorithm, ‘A fully parallel 3D thinning algorithm and its applications’, which fails to preserve connectivity of 3D objects. We start with Ma and Sonka’s algorithm and examine its verification of connectivity preservation. Our analysis leads to a...

A 3D fully parallel surface-thinning algorithm

The thinning is an iterative layer by layer erosion until only the ‘‘skeletons’’ of the objects are left. This paper presents a thinning algorithm for extracting medial surfaces from 3D binary pictures. The strategy which is used is called fully parallel, which means that the same parallel operator is applied at each iteration. An efficient implementation of the proposed algorithm on convention...

Fully Parallel 3D Thinning Algorithms Based on Sufficient Conditions for Topology Preservation

This paper presents a family of parallel thinning algorithms for extracting medial surfaces from 3D binary pictures. The proposed algorithms are based on sufficient conditions for 3D parallel reduction operators to preserve topology for (26, 6) pictures. Hence it is self-evident that our algorithms are topology preserving. Their efficient implementation on conventional sequential computers is a...

Improved Low Complexity Fully Parallel Thinning Algorithm

A fully parallel iterative thinning algorithm called MB2 is presented. It favourably competes with the best known algorithms regarding homotopy, mediality; thickness, rotation invariance and noise immunity, while featuring a speed improvement by a factor two or more owing to a smaller number of operations to perform. MB2 is grounded on a simple physics-based thinning principle that conveys both...

A pair of equivalent sequential and fully parallel 3D surface-thinning algorithms