Home > Articles > Published articles > Integral geometry about the visual angle of a convex set |
Date: | 2019 |
Abstract: | 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. |
Grants: | Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-358 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1725 Ministerio de Economía y Competitividad PGC2018-095998-B-100 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Convex set ; Densities ; Visual angle |
Published in: | Rendiconti del Circolo Matematico di Palermo, Vol. 69 (October 2019) , p. 1115-1130, ISSN 1973-4409 |
Postprint 18 p, 605.1 KB |