The radon transforms and some of its applications
โ Scribed by Resnick, J.
- Book ID
- 117906192
- Publisher
- IEEE
- Year
- 1985
- Weight
- 226 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0096-3518
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๐ SIMILAR VOLUMES
## Abstract The generalized totally geodesic Radon transform associates the mean values over spherical tori to a function __f__ defined on ๐^3^โโ, where the elements of ๐^3^ are considered as quaternions representing rotations. It is introduced into the analysis of crystallographic preferred orient
We prove that under certain conditions the inversion problem for the generalized Radon transform reduces to solvinga Fredholm integral equation and we obtain the asymptoticexpansionof the symbolof the integral operator in this equation. We consider applications of the generalized Radon transform to