Geometric interpretation of Euclid's algorithm and recognition of segments
Theoretical Computer Science
Discrete analytical hyperplanes
Graphical Models and Image Processing
Combinatorics of patterns of a bidimensional Sturmian sequence.
Theoretical Computer Science
Plane digitization and related combinatorial problems
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Discrete Applied Mathematics
Functional stepped surfaces, flips, and generalized substitutions
Theoretical Computer Science
Generation and recognition of digital planes using multi-dimensional continued fractions
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computational aspects of digital plane and hyperplane recognition
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
Arithmetic discrete planes are quasicrystals
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
About thin arithmetic discrete planes
Theoretical Computer Science
A study of Jacobi-Perron boundary words for the generation of discrete planes
Theoretical Computer Science
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This paper extends, in a multi-dimensional framework, pattern recognition techniques for generation or recognition of digital lines. More precisely, we show how the connection between chain codes of digital lines and continued fractions can be generalized by a connection between tilings and multi-dimensional continued fractions. This leads to a new approach for generating and recognizing digital hyperplanes.