Size functions and formal series

Authors
Frosini, P Landi, C
Citation
P. Frosini et C. Landi, Size functions and formal series, APPL ALG EN, 12(4), 2001, pp. 327-349
Citations number
33
Categorie Soggetti
Engineering Mathematics
Journal title
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
ISSN journal
09381279 → ACNP
Volume
12
Issue
4
Year of publication
2001
Pages
327 - 349
Database
ISI
SICI code
0938-1279(200108)12:4<327:SFAFS>2.0.ZU;2-X
Abstract
In this paper we consider a mathematical tool for shape description called size function. We prove that every size function can be represented as a se t of points and lines in the real plane, with multiplicities. This allows f or an algebraic approach to size functions and the construction of new pseu do-distances between size functions for comparing shapes.