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Integral geometry about the visual angle of a convex set.

Authors :
Cufí, Julià
Gallego, Eduardo
Reventós, Agustí
Source :
Rendiconti del Circolo Matematico di Palermo (Series 2); Dec2020, Vol. 69 Issue 3, p1115-1130, 16p
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0009725X
Volume :
69
Issue :
3
Database :
Complementary Index
Journal :
Rendiconti del Circolo Matematico di Palermo (Series 2)
Publication Type :
Academic Journal
Accession number :
146216929
Full Text :
https://doi.org/10.1007/s12215-019-00461-w