Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
A new characterization of three-dimensional simple points
Pattern Recognition Letters
Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fully parallel 3D thinning algorithm and its applications
Computer Vision and Image Understanding
Distance-ordered homotopic thinning: a skeletonization algorithm for 3D digital images
Computer Vision and Image Understanding
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Parallel thinning algorithms on 3D (18,6) binary images
Computer Vision and Image Understanding
Simplifying curve skeletons in volume images
Computer Vision and Image Understanding
A New Set of Topology Preserving Removal Operations in the 3D Space
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 03
A note on 'A fully parallel 3D thinning algorithm and its applications'
Pattern Recognition Letters
New removal operators for surface skeletonization
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
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A 2-subiteration parallel algorithm is suggested to compute the surface skeleton of a 3D digital object represented by its D^6 distance transform, without resorting to directional processes. The algorithm is based on the use of two operators, with 3x3x3 and 2x2x2 support, that are, respectively, applied during the two subiterations to mark the voxels of the D^6 distance transform to be ascribed to the skeleton. The resulting surface skeleton is centered within the object, is homotopic to the object and is fully reversible since it includes all centers of the maximal balls of the object.