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.
8th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2011
Munster, deu
MAY 18-20, 2011
6658
1
11
A., Cerri; P., Frosini; W. G., Kropatsch; Landi, Claudia
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/695093
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