Computation of the perimeter of measurable sets via their covariogram. Applications to random sets

B Galerne - Image Analysis and Stereology, 2011 - ias-iss.org
The covariogram of a measurable set A⊂ Rd is the function gA which to each y∈ Rd
associates the Lebesgue measure of A∩(y+ A). This paper proves two formulas. The first …

The covariogram problem

G Bianchi - Harmonic Analysis and Convexity, 2023 - degruyter.com
The covariogram gX of a measurable set X in ℝn is the function which associates to each
x∈ ℝ n the measure of the intersection of X with X+ x. We are interested in understanding …