This paper introduces the concept of discrete multidimensionalsize function, a mathematical tool studying the so-called sizegraphs. These graphs constitutes an ingredient of Size Theory, a geometrical/topological approach to shape analysis and comparison. A globalmethod for reducing size graphs is presented, together with a theoremstating that size graphs reduced in such a way preserve all the informationin terms of multidimensional size functions. This approach can leadto simplify the effective computation of discrete multidimensional sizefunctions, as shown by examples.
A Global Method for Reducing Multidimensional Size Graphs / A., Cerri; P., Frosini; W. G., Kropatsch; Landi, Claudia. - STAMPA. - 6658:(2011), pp. 1-11. (Intervento presentato al convegno 8th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2011 tenutosi a Munster, deu nel MAY 18-20, 2011) [10.1007/978-3-642-20844-7_1].
A Global Method for Reducing Multidimensional Size Graphs
LANDI, Claudia
2011
Abstract
This paper introduces the concept of discrete multidimensionalsize function, a mathematical tool studying the so-called sizegraphs. These graphs constitutes an ingredient of Size Theory, a geometrical/topological approach to shape analysis and comparison. A globalmethod for reducing size graphs is presented, together with a theoremstating that size graphs reduced in such a way preserve all the informationin terms of multidimensional size functions. This approach can leadto simplify the effective computation of discrete multidimensional sizefunctions, as shown by examples.
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