Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Discrete Combinatorial Surfaces
Graphical Models and Image Processing
Fundamentals of surface voxelization
Graphical Models and Image Processing
Discrete analytical hyperplanes
Graphical Models and Image Processing
Object discretizations in higher dimensions
Pattern Recognition Letters
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Supercover of Straight Lines, Planes and Triangles
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Hausdorff Discretization and Its Comparison to Other Discretization Schemes
DCGI '99 Proceedings of the 8th International Conference 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
Object Discretization in Higher Dimensions
DGCI '00 Proceedings of the 9th 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
Discrete linear objects in dimension n: the standard model
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
The supercover of an m-flat is a discrete analytical object
Theoretical Computer Science
Discrete analytical curve reconstruction without patches
Image and Vision Computing
Discrete surfaces segmentation into discrete planes
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
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
Persistent patterns in integer discrete circles
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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A new description model, called the standard model, for discrete linear objects in dimension n is proposed. Standard objects are tunnel-free and (n-1)-connected. The discrete objects are defined analytically as union of intersections of half-spaces. The standard 3D polygons are well suited for polygonalization. This is the main reason why this model has been developed.