Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
CVGIP: Graphical Models and Image Processing
Discrete multidimensional Jordan surfaces
CVGIP: Graphical Models and Image Processing
Voxel traversal along a 3D line
Graphics gems IV
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
An approach to discretization based on the Hausdorff metric
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
On Limit Properties in Digitization Schemes
Journal of the ACM (JACM)
Object discretizations in higher dimensions
Pattern Recognition Letters
The Discrete Analytical Hyperspheres
IEEE Transactions on Visualization and Computer Graphics
3D Line Voxelization and Connectivity Control
IEEE Computer Graphics and Applications
Computer
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
Defining Discrete Objects for Polygonalization: The Standard Model
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
SpaMod: design of a spatial modeling tool
Digital and image geometry
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Discrete Applied Mathematics
Reversible vectorisation of 3D digital planar curves and applications
Image and Vision Computing
Continuous digitization in Khalimsky spaces
Journal of Approximation Theory
The supercover of an m-flat is a discrete analytical object
Theoretical Computer Science
A generalized preimage for the digital analytical hyperplane recognition
Discrete Applied Mathematics
Discrete Applied Mathematics
Offset Approach to Defining 3D Digital Lines
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
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
Digitization scheme that assures faithful reconstruction of plane figures
Pattern Recognition
Adaptive Pixel Resizing for Multiscale Recognition and Reconstruction
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Discrete analytical curve reconstruction without patches
Image and Vision Computing
Predicting corresponding region in a third view using discrete epipolar lines
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Minimal offsets that guarantee maximal or minimal connectivity of digital curves in nD
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
An arithmetic and combinatorial approach to three-dimensional discrete lines
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Analytical description of digital circles
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
How to find a khalimsky-continuous approximation of a real-valued function
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Characterization of the closest discrete approximation of a line in the 3-dimensional space
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
Two discrete-euclidean operations based on the scaling transform
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
Discrete geometry applied in hard real-time systems validation
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Connectedness of offset digitizations in higher dimensions
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
Critical connectedness of thin arithmetical discrete planes
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
A study of Jacobi-Perron boundary words for the generation of discrete planes
Theoretical Computer Science
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A new analytical description model, called the standard model, for the discretization of Euclidean linear objects (point, m-flat, m-simplex) in dimension n is proposed. The objects are defined analytically by inequalities. This allows a global definition independent of the number of discrete points. A method is provided to compute the analytical description for a given linear object. A discrete standard model has many properties in common with the supercover model from which it derives. However, contrary to supercover objects, a standard object does not have bubbles. A standard object is (n-1)-connected, tunnel-free and bubble-free. The standard model is geometrically consistent. The standard model is well suited for modelling applications.