Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
On connectivity issues of ESPTA
Pattern Recognition Letters
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
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
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
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
Parallel thinning algorithms on 3D (18,6) binary images
Computer Vision and Image Understanding
A 3-subiteration 3D thinning algorithm for extracting medial surfaces
Pattern Recognition Letters
A continuous skeletonization method based on level sets
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
A medial-surface oriented 3-d two-subfield thinning algorithm
Pattern Recognition Letters
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
Distance Transformation and Skeletonization of 3D Pictures and Their Applications to Medical Images
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
A New 3D 6-Subiteration Thinning Algorithm Based on P-Simple Points
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Simplifying curve skeletons in volume images
Computer Vision and Image Understanding
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
Fusion Graphs: Merging Properties and Watersheds
Journal of Mathematical Imaging and Vision
Computing Multiscale Curve and Surface Skeletons of Genus 0 Shapes Using a Global Importance Measure
IEEE Transactions on Visualization and Computer Graphics
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 new 3d parallel thinning scheme based on critical kernels
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
An Automatic Correction of Ma's Thinning Algorithm Based on P-simple Points
Journal of Mathematical Imaging and Vision
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
3D block-based medial axis transform and chessboard distance transform based on dominance
Image and Vision Computing
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
Topology preserving parallel smoothing for 3d binary images
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
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
| Hi-index | 5.23 |
The thinning is an iterative layer by layer erosion until only the ''skeletons'' of the objects are left. This paper presents a thinning algorithm for extracting medial surfaces from 3D binary pictures. The strategy which is used is called fully parallel, which means that the same parallel operator is applied at each iteration. An efficient implementation of the proposed algorithm on conventional sequential computers is given and the topological correctness for (26, 6) binary pictures is proved.