Reconstruction of the shape of a convex defect from a scattered wave field in the ray approximation (Q1314193)
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: Reconstruction of the shape of a convex defect from a scattered wave field in the ray approximation |
scientific article; zbMATH DE number 500923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconstruction of the shape of a convex defect from a scattered wave field in the ray approximation |
scientific article; zbMATH DE number 500923 |
Statements
Reconstruction of the shape of a convex defect from a scattered wave field in the ray approximation (English)
0 references
3 March 1994
0 references
The problem of reconstructing the shape of a convex defect in a solid body from the results of measurements of the amplitude of back-scattering of an ultrasound wave is considered. It is assumed that the length-scale of the defect is much larger than the wavelength, which allows the problem to be considered in the ray approximation. It has been shown that, using such an approach, the problem investigated reduces to the well-known Minkowski problem: for a given Gaussian surface curvature reconstruct the shape of a closed convex surface.
0 references
ellipsoids of revolution
0 references
nearly-cylindrical surface
0 references
Gaussian curvature
0 references
back-scattering
0 references
ultrasound wave
0 references
Minkowski problem
0 references
0.7564346194267273
0 references
0.7561005353927612
0 references
0.7523618340492249
0 references
