Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
On topology preservation in 3D thinning
CVGIP: Image Understanding
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
Three-Dimensional Topology Preserving Reduction on the 4-Subfields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extracting medial curves on 3D images
Pattern Recognition Letters
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
Medial Representations: Mathematics, Algorithms and Applications
Medial Representations: Mathematics, Algorithms and Applications
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
Isthmus-based 6-directional parallel thinning algorithms
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
A family of topology-preserving 3D parallel 6-subiteration thinning algorithms
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
New removal operators for surface skeletonization
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
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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Thinning is a widely used technique to obtain skeleton-like shape features (i.e., centerlines and medial surfaces) from digital binary objects. Conventional thinning algorithms preserve endpoints to provide important geometric information relative to the object to be represented. An alternative strategy is also proposed that preserves isthmuses (i.e., generalization of curve/surface interior points). In this paper we present ten 3D parallel isthmus-based thinning algorithm variants that are derived from some sufficient conditions for topology preserving reductions.