Enumerative combinatorics
On the recognition of digital planes in three-dimensional space
Pattern Recognition Letters
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Coexistence of Tricubes in Digital Naive Plane
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Local Configurations of Digital Hyperplanes
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Polyhedrization of the Boundary of a Voxel Object
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
(n, m)-Cubes and Farey Nets for Naive Planes Understanding
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Recognizing arithmetic straight lines and planes
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
SpaMod: Design of a Spatial Modeling Tool
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Local Non-planarity of Three Dimensional Surfaces for an Invertible Reconstruction: k-Cuspal Cells
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Adaptive Pixel Resizing for Multiscale Recognition and Reconstruction
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Theoretical Computer Science
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
On the language of standard discrete planes and surfaces
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Discrete surfaces segmentation into discrete planes
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Duality and geometry straightness, characterization and envelope
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
A composite and quasi linear time method for digital plane recognition
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
A generalized preimage for the standard and supercover digital hyperplane recognition
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Generalized functionality for arithmetic discrete planes
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Complexity analysis for digital hyperplane recognition in arbitrary fixed dimension
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Reversible polygonalization of a 3d planar discrete curve: application on discrete surfaces
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Generalized perpendicular bisector and circumcenter
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Linear discrete line recognition and reconstruction based on a generalized preimage
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Computational aspects of digital plane and hyperplane recognition
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
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A digital naive plane may be seen as a repetition of (n, m)- cubes, set composed of n×m adjacent voxels or more generally sets of p voxels. In a previous works, we have shown how to link the parameters of a naive plane to the different configurations of voxels sets by the construction of the associated Farey net. We propose an algorithm to recognize any set of coplanar voxels. This algorithm will be used for the polyhedrization of voxel objects. This is an original contribution offering a new method for digital plane recognition.