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Size Functions and Formal Series

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

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.

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Authors and Affiliations

  1. Università di Bologna, Dipartimento di Matematica, P.zza Porta San Donato, 5, 40127 Bologna, Italia, and C.I.R.A.M – Bologna (e-mail: frosini@dm.unibo.it), , , , , , IT

    Patrizio Frosini

  2. Università di Modena e Reggio Emilia, Dipartimento di Scienze e Metodi per l'Ingegneria, Viale Allegri, 13, 42100 Reggio Emilia, Italia (e-mail: landi.claudia@unimo.it), , , , , , IT

    Claudia Landi

Authors
  1. Patrizio Frosini
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  2. Claudia Landi
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Received: June 29, 1998; revised version: October 9, 2000

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Frosini, P., Landi, C. Size Functions and Formal Series. AAECC 12, 327–349 (2001). https://doi.org/10.1007/s002000100078

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  • DOI: https://doi.org/10.1007/s002000100078

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