Add to ORKGThe present paper contains a review of the main results of Yerevan research group in tomography of planar bounded convex domains. The applications of these problems are known in both geometric and computer tomography. Complicated geometrical patterns occur in many areas of science. Their analysis requires creation of mathematical models and development of special mathematical tools. The corresponding area of mathematical research is called Stochastic Geometry. Among more popular applications are Stereology and Tomography. The methods of form analysis are based on analysis of the objects as figures, i.e. as subsets of the plane. For these sets, geometrical characteristics are considered that are independent of the position and orientation of...
In the present paper a representation for the measure of planes intersecting a convex body, using st...
Summary.- The covariogram of a compact convex set K ⊂ Rn is the function that at each point x ∈ Rn a...
AbstractThe cross covariogram gK,L of two convex sets K,L⊂Rn is the function which associates to eac...
The covariogram $g_{K}(x)$ of a convex body $K$ gives the volume of the intersections of $K$ with it...
The covariogram $g_{K}(x)$ of a convex body $K$ gives the volume of the intersections of $K$ with it...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...
Knowing the (geometric) covariogram of a convex body is equivalent to knowing, for each direction u,...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...
We prove that the geometric covariogram determines (up to translation and reflection), among all con...
We prove that the geometric covariogram determines (up to translation and reflection), among all con...
The covariogram gK of a convex body K in E d is the function which associates to each x ∈ E d the vo...
Let φ be a real-valued valuation on the family of compact convex subsets of Rn and let K be a convex...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
The covariogram of a compact convex set $K \subset \mathbb R^n$ is the function that at each point ...
Abstract. We propose strongly consistent algorithms for reconstructing the characteristic function 1...
In the present paper a representation for the measure of planes intersecting a convex body, using st...
Summary.- The covariogram of a compact convex set K ⊂ Rn is the function that at each point x ∈ Rn a...
AbstractThe cross covariogram gK,L of two convex sets K,L⊂Rn is the function which associates to eac...
The covariogram $g_{K}(x)$ of a convex body $K$ gives the volume of the intersections of $K$ with it...
The covariogram $g_{K}(x)$ of a convex body $K$ gives the volume of the intersections of $K$ with it...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...
Knowing the (geometric) covariogram of a convex body is equivalent to knowing, for each direction u,...
The covariogram of a compact subset A of R(n) is the function that to each x associates the volume ...
We prove that the geometric covariogram determines (up to translation and reflection), among all con...
We prove that the geometric covariogram determines (up to translation and reflection), among all con...
The covariogram gK of a convex body K in E d is the function which associates to each x ∈ E d the vo...
Let φ be a real-valued valuation on the family of compact convex subsets of Rn and let K be a convex...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
The covariogram of a compact convex set $K \subset \mathbb R^n$ is the function that at each point ...
Abstract. We propose strongly consistent algorithms for reconstructing the characteristic function 1...
In the present paper a representation for the measure of planes intersecting a convex body, using st...
Summary.- The covariogram of a compact convex set K ⊂ Rn is the function that at each point x ∈ Rn a...
AbstractThe cross covariogram gK,L of two convex sets K,L⊂Rn is the function which associates to eac...