Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
On topology preservation in 3D thinning
CVGIP: Image Understanding
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
Computer Vision and Image Understanding
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Skeletons in N dimensions using shape primitives
Pattern Recognition Letters
A medial-surface oriented 3-d two-subfield thinning algorithm
Pattern Recognition Letters
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
A 3-subiteration surface-thinning algorithm
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
A subiteration-based surface-thinning algorithm with a period of three
Proceedings of the 29th DAGM conference on Pattern recognition
New removal operators for surface skeletonization
DGCI'06 Proceedings of the 13th 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
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
3D parallel thinning algorithms based on isthmuses
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
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This paper presents a family of parallel thinning algorithms for extracting medial surfaces from 3D binary pictures. The proposed algorithms are based on sufficient conditions for 3D parallel reduction operators to preserve topology for (26, 6) pictures. Hence it is self-evident that our algorithms are topology preserving. Their efficient implementation on conventional sequential computers is also presented.