On the recognition of digital planes in three-dimensional space
Pattern Recognition Letters
Multigrid Convergence of Geometric Features
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
A Simplified Recognition Algorithm of Digital Planes Pieces
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Multigrid convergence of geometric features
Digital and image geometry
An elementary digital plane recognition algorithm
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Discrete Applied Mathematics
Digital hyperplane recognition in arbitrary fixed dimension within an algebraic computation model
Image and Vision Computing
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
About the frequencies of some patterns in digital planes application to area estimators
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
An efficient and quasi linear worst-case time algorithm for digital plane recognition
DGCI'08 Proceedings of the 14th IAPR 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
Complexity analysis for digital hyperplane recognition in arbitrary fixed dimension
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Computational aspects of digital plane and hyperplane recognition
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
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We generalize the concept of evenness which has been developed for digital straight lines. Evenness is a necessary and sufficient condition for a digital arc segment to be a digital straight line segment. We prove that evenness is also a necessary and sufficient condition for a rectangular surface segment to be a digital plane segment. This is not true for surface segments of arbitrary shape. To clarify the relation between shape and evenness we introduce the notion of a regular shape and of an arbitrarily extendable even set.