Computational geometry: an introduction
Computational geometry: an introduction
Theory of linear and integer programming
Theory of linear and integer programming
On the convex hull of the integer points in a disc
SCG '91 Proceedings of the seventh annual symposium on Computational geometry
On the recognition of digital planes in three-dimensional space
Pattern Recognition Letters
On the maximal number of edges of convex digital polygons included into an m × m-grid
Journal of Combinatorial Theory Series A
A parametrization of digital planes by least-squares fits and generalizations
Graphical Models and Image Processing
The quickhull algorithm for convex hulls
ACM Transactions on Mathematical Software (TOMS)
Discrete analytical hyperplanes
Graphical Models and Image Processing
Linear Programming in Linear Time When the Dimension Is Fixed
Journal of the ACM (JACM)
Thin discrete triangular meshes
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Digital Planarity of Rectangular Surface Segments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital Planar Segment Based Polyhedrization for Surface Area Estimation
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Polyhedrization of the Boundary of a Voxel Object
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Recognition of Digital Naive Planes and Polyhedrization
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
A Simplified Recognition Algorithm of Digital Planes Pieces
DGCI '02 Proceedings of the 10th 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
A linear incremental algorithm for naive and standard digital lines and planes recognition
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Digital Straight Line Segments
IEEE Transactions on Computers
On digital plane preimage structure
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
An elementary digital plane recognition algorithm
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
From digital plane segmentation to polyhedral representation
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Three-Dimensional Digital Planes
IEEE Transactions on Pattern Analysis and Machine Intelligence
DGCI'06 Proceedings of the 13th 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
Digital hyperplane recognition in arbitrary fixed dimension within an algebraic computation model
Image and Vision Computing
On the polyhedral complexity of the integer points in a hyperball
Theoretical Computer Science
A generalized preimage for the digital analytical hyperplane recognition
Discrete Applied Mathematics
Gift-wrapping based preimage computation algorithm
Pattern Recognition
Some theoretical challenges in digital geometry: A perspective
Discrete Applied Mathematics
Gift-wrapping based preimage computation algorithm
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Duality and geometry straightness, characterization and envelope
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
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In these note we review some basic approaches and algorithms for discrete plane/hyperplane recognition. We present, analyze, and compare related theoretical and experimental results and discuss on the possibilities for creating algorithms with higher efficiency.