Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Computer Vision and Image Understanding
A multiple point boundary smoothing algorithm
Pattern Recognition Letters
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Curve and surface smoothing without shrinkage
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
Fully parallel 3D thinning algorithms based on sufficient conditions for topology preservation
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
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This paper presents a new algorithm for smoothing 3D binary images in a topology preserving way. Our algorithm is a reduction operator: some border points that are considered as extremities are removed. The proposed method is composed of two parallel reduction operators. We are to apply our smoothing algorithm as an iteration-by-iteration pruning for reducing the noise sensitivity of 3D parallel surface-thinning algorithms. An efficient implementation of our algorithm is sketched and its topological correctness for (26,6) pictures is proved.