Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
A topological characterization of thinning
Theoretical Computer Science
Discrete Applied Mathematics
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Efficient implementation of a BDD package
DAC '90 Proceedings of the 27th ACM/IEEE Design Automation Conference
3D medial surfaces and 3D skeletons
IAPR Proceedings of the international workshop on Visual form: analysis and recognition
A new characterization of three-dimensional simple points
Pattern Recognition Letters
On topology preservation in 3D thinning
CVGIP: Image Understanding
Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Simple points, topological numbers and geodesic neighborhoods in cubic grids
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
Fast binary image processing using binary decision diagrams
Computer Vision and Image Understanding
A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Some Topological Properties of Surfaces in Z3
Journal of Mathematical Imaging and Vision
Digital Picture Processing
Three-Dimensional Topology Preserving Reduction on the 4-Subfields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topology-Preserving Deletion of 1's from 2-, 3- and 4-Dimensional Binary Images
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
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
Strong thinning and polyhedric approximation of the surface of a voxel object
Discrete Applied Mathematics
A 3D 12-subiteration thinning algorithm based on P-simple points
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Generation of Unit-Width Curve Skeletons Based on Valence Driven Spatial Median (VDSM)
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Computer Vision and Image Understanding
A subiteration-based surface-thinning algorithm with a period of three
Proceedings of the 29th DAGM conference on Pattern recognition
DGCI'08 Proceedings of the 14th 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 new 3d parallel thinning scheme based on critical kernels
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
A new relative chain code in 3D
Pattern Recognition
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In a recent study C. Lohou, G. Bertrand [A new 3D 12-subiteration thinning algorithm based on P-simple points, in: International Workshop on Combinatorial Image Analysis, IWCIA 2001, Philadelphia, PA, USA, ENTCS, vol. 46, 2001, pp. 39-58; A new 3D 6-subiteration thinning algorithm based on P-simple points, in: International Conference on Discrete Geometry for Computer Imagery, DGCI'2002, Bordeaux, France, ENTCS, vol. 2301, Springer, Berlin, 2002, pp. 102-113; A 3D 12-subiteration thinning algorithm based on P-simple points, Discrete Appl. Math. 139(1-3) (2004) 171-195.], we proposed a new methodology to build thinning algorithms based on the deletion of P-simple points. This methodology may permit to conceive a thinning algorithm A^' from an existent thinning algorithm A, such that A^' deletes at least all the points removed by A, while preserving the same end points (in particular, we have already proposed a 12-subiteration thinning algorithm C. Lohou, G. Bertrand [International Workshop on Combinatorial Image Analysis, IWCIA 2001, Philadelphia, PA, USA, ENTCS, vol. 46, 2001, pp. 39-58; A 3D 12-subiteration thinning algorithm based on P-simple points, Discrete Appl. Math. 139(1-3) (2004) 171-195.]). In this paper, by applying this methodology, we propose a 6-subiteration curve thinning algorithm which deletes at least all the points removed by two 6-subiteration curve thinning algorithms: either the one proposed by Palagyi and Kuba [A 3D 6-subiteration thinning algorithm for extracting medial lines, Pattern Recogn. Lett. 19(7) (1998) 613-627.], or the one proposed by Gong and Bertrand [A simple parallel 3D thinning algorithm, in: International Conference on Pattern Recognition, Atlantic City, NJ, USA, 1990, pp. 188-190.]. .