Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
A new characterization of three-dimensional simple points
Pattern Recognition Letters
On topology preservation in 3D thinning
CVGIP: Image Understanding
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
A 3D fully parallel thinning algorithm for generating medial faces
Pattern Recognition Letters
A fully parallel 3D thinning algorithm and its applications
Computer Vision and Image Understanding
A 3D 6-subiteration thinning algorithm for extracting medial lines
Pattern Recognition Letters
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
A 3D 12-subiteration thinning algorithm based on P-simple points
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
A 3D 6-subiteration curve thinning algorithm based on P-simple points
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
A note on 'A fully parallel 3D thinning algorithm and its applications'
Pattern Recognition Letters
An Automatic Correction of Ma's Thinning Algorithm Based on P-simple Points
Journal of Mathematical Imaging and Vision
Computer Vision and Image Understanding
Powerful Parallel and Symmetric 3D Thinning Schemes Based on Critical Kernels
Journal of Mathematical Imaging and Vision
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Recently, Wang and Basu [Wang, T., Basu, A., 2007. A note on 'a fully parallel 3D thinning algorithm and its applications'. Pattern Recognition Lett. 28 (4), 501-506] have written a paper in which they claim that Ma and Sonka's 3D thinning algorithm [Ma, C., Sonka, M., 1996. A fully parallel 3D thinning algorithm and its applications. Computer Vision and Image Understanding 64 (3), 420-433] does not preserve topology. As they highlight in their paper, a counterexample has been given in Lohou's thesis [Lohou, C., 2001. Contribution a l'analyse topologique des images: etude d'algorithmes de squelettisation pour images 2D et 3D selon une approche topologie digitale ou topologie discrete. Ph.D. thesis, Univ. de Marne-la-Vallee, France]. In fact, the previous Ma's algorithm [Ma, C., 1995. A 3D fully parallel thinning algorithm for generating medial faces. Pattern Recognition Lett. 16, 83-87] does not preserve topology. The goal of this paper is to show how P-simple points have guided us towards a proof that Ma's algorithm does not always preserve topology.