Add to ORKGthe chord length distribution (CLD) and its nth moments ( ) have been calculated for a set of 3D-convex bodies. From these data, an empirical relation between the CLD moments and the Minkowski functionals is proposed for the second and third order CLD moments based on the Cauchy formula initially established for the first and fourth order moments in three-dimensional space. The approximation is improved by considering an additional parameter as the number of body vertices. Moreover it is shown that the data set and the empirical expression respect the inclusion inequalities recently found by L. Heinrich (Applied Mathematical Sciences, 8(2014)8257-8269)
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
The paper deals with sets of distributions which are given by moment conditions and convex constrain...
<p>Distributions of (A) twist angle and (B) chord length for design points of A, B, C and D.</p
In this paper we obtain the chord length distribution function of a non-convex equilateral hexagon a...
<p>Distributions of (A) chord length and (B) twist angle for design points of O, P, Q and R.</p
One-dimensional cross-section measures are one-dimensional section and projection measures of convex...
The paper deals with sets of distributions which are given by moment conditions for the distribution...
Chord length distributions describe size, shape and spatial arrangement of geometrical objects (part...
In this paper, we obtain a formula relating the chord power integrals of a convex body K and the dua...
International audienceThe scattering of an electromagnetic wave by a particle is directly related to...
International audienceThe scattering of an electromagnetic wave by a particle is directly related to...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...
Analytical expressions for the distribution of the length of chords corre- sponding to the a?ne inva...
The classical Brunn-Minkowski theory for convex bodies was developed from a few basic concepts: supp...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
The paper deals with sets of distributions which are given by moment conditions and convex constrain...
<p>Distributions of (A) twist angle and (B) chord length for design points of A, B, C and D.</p
In this paper we obtain the chord length distribution function of a non-convex equilateral hexagon a...
<p>Distributions of (A) chord length and (B) twist angle for design points of O, P, Q and R.</p
One-dimensional cross-section measures are one-dimensional section and projection measures of convex...
The paper deals with sets of distributions which are given by moment conditions for the distribution...
Chord length distributions describe size, shape and spatial arrangement of geometrical objects (part...
In this paper, we obtain a formula relating the chord power integrals of a convex body K and the dua...
International audienceThe scattering of an electromagnetic wave by a particle is directly related to...
International audienceThe scattering of an electromagnetic wave by a particle is directly related to...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...
Analytical expressions for the distribution of the length of chords corre- sponding to the a?ne inva...
The classical Brunn-Minkowski theory for convex bodies was developed from a few basic concepts: supp...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
The paper deals with sets of distributions which are given by moment conditions and convex constrain...