Convexity for the diffuse tomography model (Q2747521)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convexity for the diffuse tomography model |
scientific article; zbMATH DE number 1657902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convexity for the diffuse tomography model |
scientific article; zbMATH DE number 1657902 |
Statements
Convexity for the diffuse tomography model (English)
0 references
22 July 2002
0 references
Boltzmann transport equation
0 references
\(x\)-ray transform
0 references
propagation of radiation
0 references
diffuse tomography model
0 references
convexity
0 references
inverse problem
0 references
0.8852785
0 references
0.8828984
0 references
0.88183606
0 references
0.8798396
0 references
This paper is concerned with a discrete model for the propagation of radiation in the interior of bodies that diffuse and scatter radiation. The authors show that by a suitable change of variables the external measurements for the diffuse tomography model become convex functions defined on a convex domain. They also discuss some of the algorithmic implications of such a convexity result in designing efficient solution methods for the inverse problem.
0 references
