Integral geometry about the visual angle of a convex set

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Abstract

© 2019, Springer-Verlag Italia S.r.l., part of Springer Nature. In this paper we deal with a general type of integral formulas of the visual angle, among them those of Crofton, Hurwitz and Masotti, from the point of view of Integral Geometry. The purpose is twofold: to provide an interpretation of these formulas in terms of integrals of functions with respect to the canonical density in the space of pairs of lines and to give new simpler proofs of them.
Original languageEnglish
JournalRendiconti del Circolo Matematico di Palermo
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Convex set
  • Densities
  • Visual angle

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