Stability in multidimensional Size Theory

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dc.creatorCerri, Andrea
dc.creatorFrosini, Patrizio
dc.creatorLandi, Claudia
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:19:56Z
dc.date.available2026-07-07T07:19:56Z
dc.descriptionThis paper proves that in Size Theory the comparison of multidimensional size functions can be reduced to the 1-dimensional case by a suitable change of variables. Indeed, we show that a foliation in half-planes can be given, such that the restriction of a multidimensional size function to each of these half-planes turns out to be a classical size function in two scalar variables. This leads to the definition of a new distance between multidimensional size functions, and to the proof of their stability with respect to that distance.
dc.description15 pages, 1 figure, uses psfrag
dc.identifierhttps://arxiv.org/abs/cs/0608009
dc.identifierhttp://arxiv.org/abs/cs/0608009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114811
dc.subjectComputational Geometry
dc.subjectComputer Vision and Pattern Recognition
dc.subjectI.3.5; I.5.1
dc.titleStability in multidimensional Size Theory
dc.typetext

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