Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
On topology preservation in 3D thinning
CVGIP: Image Understanding
Computer Vision and Image Understanding
A medial-surface oriented 3-d two-subfield thinning algorithm
Pattern Recognition Letters
Fast Isosurface Generation Using the Volume Thinning Algorithm
IEEE Transactions on Visualization and Computer Graphics
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
Skeleton Based Shape Matching and Retrieval
SMI '03 Proceedings of the Shape Modeling International 2003
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
3D parallel thinning algorithms based on isthmuses
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
Powerful Parallel and Symmetric 3D Thinning Schemes Based on Critical Kernels
Journal of Mathematical Imaging and Vision
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Thinning is a frequently applied technique for extracting skeleton-like shape features (i.e., centerline, medial surface, and topological kernel) from volumetric binary images. Subfield-based thinning algorithms partition the image into some subsets which are alternatively activated, and some points in the active subfield are deleted. This paper presents a set of new 3D parallel subfield-based thinning algorithms that use four and eight subfields. The three major contributions of this paper are: 1) The deletion rules of the presented algorithms are derived from some sufficient conditions for topology preservation. 2) A novel thinning scheme is proposed that uses iteration-level endpoint checking. 3) Various characterizations of endpoints yield different algorithms.