ON THE INVERSION OF THE GEODESIC RADON-TRANSFORM ON THE HYPERBOLIC PLANE

Authors
LISSIANOI S PONOMAREV I
Citation
S. Lissianoi et I. Ponomarev, ON THE INVERSION OF THE GEODESIC RADON-TRANSFORM ON THE HYPERBOLIC PLANE, Inverse problems, 13(4), 1997, pp. 1053-1062
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
13
Issue
4
Year of publication
1997
Pages
1053 - 1062
Database
ISI
SICI code
0266-5611(1997)13:4<1053:OTIOTG>2.0.ZU;2-D
Abstract
A new inversion formula for the geodesic Radon transform on the hyperb olic plane is derived and numerically implemented. This problem arises from an integral geometry approach to the electric impedance tomograp hy where inverting the geodesic Radon transform is one of the steps to wards reconstructing the unknown conductivity.