3 papers
math.DG2021
Integral Geometry of pairs of planes
Julià Cufí, Eduardo Gallego, Agustí Reventós
We deal with integrals of invariant measures of pairs of planes in euclidean space as considered by Hug and Schneider. In this paper we express some of these integra…
math.DG2019
Integral Geometry about the visual angle of a convex set
Julià Cufí, Eduardo Gallego, Agustí Reventós
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. T…
math.DG2018
On the integral formulas of Crofton and Hurwitz relative to the visual angle of a convex set
J. Cufí, E. Gallego, A. Reventós
We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool…