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 set of points and lines in the real plane, with multiplicities. This allows for an algebraic approach to size functions and the construction of new pseudo-distances between size functions for comparing shapes.
Frosini, P., Landi, C. (2001). Size functions and formal series. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 12(4), 327-349 [10.1007/s002000100078].
Size functions and formal series
Frosini P.;Landi C.
2001
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 set of points and lines in the real plane, with multiplicities. This allows for an algebraic approach to size functions and the construction of new pseudo-distances between size functions for comparing shapes.File in questo prodotto:
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