Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Computer Vision and Image Understanding
A 3D 6-subiteration thinning algorithm for extracting medial lines
Pattern Recognition Letters
A multiple point boundary smoothing algorithm
Pattern Recognition Letters
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Fast Isosurface Generation Using the Volume Thinning Algorithm
IEEE Transactions on Visualization and Computer Graphics
Skeleton Based Shape Matching and Retrieval
SMI '03 Proceedings of the Shape Modeling International 2003
Curve and surface smoothing without shrinkage
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Simplifying curve skeletons in volume images
Computer Vision and Image Understanding
Computing a family of skeletons of volumetric models for shape description
Computer-Aided Design
Skeleton Pruning by Contour Partitioning with Discrete Curve Evolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Skeleton growing and pruning with bending potential ratio
Pattern Recognition
Topology preserving parallel smoothing for 3d binary images
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Topology preserving 3d thinning algorithms using four and eight subfields
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part I
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In this work we present a new thinning scheme for reducing the noise sensitivity of 3D thinning algorithms. It uses iteration-by-iteration smoothing that removes some border points that are considered as extremities. The proposed smoothing algorithm is composed of two parallel topology preserving reduction operators. An efficient implementation of our algorithm is sketched and its topological correctness for (26,6) pictures is proved.