Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
On connectivity issues of ESPTA
Pattern Recognition Letters
On topology preservation in 3D thinning
CVGIP: Image Understanding
Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Building skeleton models via 3-D medial surface/axis thinning algorithms
CVGIP: Graphical Models and Image Processing
A parallel thinning algorithm for medial surfaces
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
Directional 3D Thinning Using 8 Subiterations
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
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Thinning on a binary picture is an iterative layer by layer erosion to extract a reasonable approximation to its skeleton. This paper presents an efficient 3D parallel thinning algorithm which produces medial surfaces. Three-subiteration directional strategy is proposed: each iteration step is composed of three parallel subiterations according to the three deletion directions.Th e algorithm makes easy implementation possible, since deletable points are given by matching templates containing twentyeight elements. The topological correctness of the algorithm for (26, 6) binary pictures is proved.