Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Continuous skeleton computation by Voronoi diagram
CVGIP: Image Understanding
A new characterization of three-dimensional simple points
Pattern Recognition Letters
On topology preservation in 3D thinning
CVGIP: Image Understanding
3D Voronoi skeletons and their usage for the characterization and recognition of 3D organ shape
Computer Vision and Image Understanding
Shape Representation Using a Generalized Potential Field Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
A 3D 6-subiteration thinning algorithm for extracting medial lines
Pattern Recognition Letters
Parallel thinning algorithms on 3D (18,6) binary images
Computer Vision and Image Understanding
A continuous skeletonization method based on level sets
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Directional 3D Thinning Using 8 Subiterations
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Distance transformation and skeletonization of 3D pictures and their applications to medical images
Digital and image geometry
A 3D 12-subiteration thinning algorithm based on P-simple points
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
A note on 'A fully parallel 3D thinning algorithm and its applications'
Pattern Recognition Letters
A 3D fully parallel surface-thinning algorithm
Theoretical Computer Science
A 3D 6-subiteration curve thinning algorithm based on P-simple points
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
A 3-subiteration surface-thinning algorithm
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
A new 3d parallel thinning scheme based on critical kernels
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
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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Skeletons are widely used in pattern recognition and image analysis. A way to obtain skeletons is the thinning approach, consisting in iteratively removing points from the object without changing the topology. In order to preserve geometric information, it is usual to preserve curve end points (for curve skeletons) or surface end points (for surface skeletons). In this paper we propose a new fast directional parallel thinning scheme, preserving isthmuses (a generalization of curve/surface interior points), and providing skeletons with low amount of noise. We also prove the topology preservation of our approach.