TY - JOUR
T1 - Integral geometry about the visual angle of a convex set
AU - Cufí, Julià
AU - Gallego, Eduardo
AU - Reventós, Agustí
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - Convex set
KW - Densities
KW - Visual angle
UR - http://www.mendeley.com/research/integral-geometry-about-visual-angle-convex-set
U2 - 10.1007/s12215-019-00461-w
DO - 10.1007/s12215-019-00461-w
M3 - Article
SN - 0009-725X
SP - -
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
ER -