Recognizing 3-D Objects Using Surface Descriptions
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Boundary and object labelling in three-dimensional images
Computer Vision, Graphics, and Image Processing
Discrete multidimensional Jordan surfaces
CVGIP: Graphical Models and Image Processing
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
Interactive Boolean operations for conceptual design of 3-D solids
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Surface reconstruction by Voronoi filtering
Proceedings of the fourteenth annual symposium on Computational geometry
r-regular shape reconstruction from unorganized points
Computational Geometry: Theory and Applications - special issue on applied computational geometry
Homotopy in two-dimensional digital images
Theoretical Computer Science
Topology preservation within digital surfaces
Graphical Models
Intersection number and topology preservation within digital surfaces
Theoretical Computer Science
Fast Estimation of Mean Curvature on the Surface of a 3D Discrete Object
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Discrete Surfaces and Frontier Orders
Journal of Mathematical Imaging and Vision
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
Two-Dimensional Parallel Thinning Algorithms Based on Critical Kernels
Journal of Mathematical Imaging and Vision
On Parallel Thinning Algorithms: Minimal Non-simple Sets, P-simple Points and Critical Kernels
Journal of Mathematical Imaging and Vision
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
Computer Vision and Image Understanding
Digitally continuous multivalued functions
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Discrete complex structure on surfel surfaces
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Maximal planes and multiscale tangential cover of 3D digital objects
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
New 2d parallel thinning algorithms based on critical kernels
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
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We first propose for digital surfaces an analog to the notion of strong homotopy existing in 3D (On P-Simple points, no. 321, C.R. Academie des Sciences, 1995, p. 1077). We present the associated parallel thinning algorithm. The surface of an object composed of voxels is a set of surfels (faces of voxels). This discrete representation is not the classical one to visualize and to work on 3D objects. Then, we propose a method for passing efficiently from the discrete representation to the continuous one, using the presented thinning algorithm. This way is more efficient than the existing methods (Proceedings of DGC'99, Lecture Notes in Computer Science, Vol. 1562, Springer, Berlin, 1999, p. 425). Some examples and a method to make the reverse operation (discretization) are presented.