In this paper we show that size functions, a class of shape descriptors, can be represented as countable collections of points and lines of the real plane with multiplicities, i.e. as particular formal series. This algebraic approach allows to reduce the information storage necessary to work with size functions. Some further applications are discussed. Namely, the possibility ofdefining new pseudo-distances between size functions and the possibility of emphasizing the part of information considered more important from the shape recognition viewpoint in order to make recognition more efficient.

Algebraic representation of size functions / Landi, Claudia; P., Frosini. - STAMPA. - (1999), pp. 41-46. ((Intervento presentato al convegno Pattern Recognition and Image Understanding, 5th open German-Russian workshop tenutosi a Herrsching, Germany nel 21-25 september, 1999.

Algebraic representation of size functions

LANDI, Claudia;
1999

Abstract

In this paper we show that size functions, a class of shape descriptors, can be represented as countable collections of points and lines of the real plane with multiplicities, i.e. as particular formal series. This algebraic approach allows to reduce the information storage necessary to work with size functions. Some further applications are discussed. Namely, the possibility ofdefining new pseudo-distances between size functions and the possibility of emphasizing the part of information considered more important from the shape recognition viewpoint in order to make recognition more efficient.
Pattern Recognition and Image Understanding, 5th open German-Russian workshop
Herrsching, Germany
21-25 september, 1999
41
46
Landi, Claudia; P., Frosini
Algebraic representation of size functions / Landi, Claudia; P., Frosini. - STAMPA. - (1999), pp. 41-46. ((Intervento presentato al convegno Pattern Recognition and Image Understanding, 5th open German-Russian workshop tenutosi a Herrsching, Germany nel 21-25 september, 1999.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/587537
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact