Local tomography for the generalized Radon transform

被引：18
|
作者：
Katsevich, AI [1 ]
机构：
[1] LOS ALAMOS NATL LAB,DIV CIC 3,LOS ALAMOS,NM 87545
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1997年 / 57卷 / 04期
关键词：
local tomography; generalized Radon transform; detection of discontinuities;
D O I：
10.1137/S0036139995291842
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be piecewise smooth with only jump discontinuities across S := singsupp f. The asymptotic behavior of BS near S is obtained. Here B is an elliptic pseudodifferential operator which satisfies certain not very restrictive assumptions. An efficient numerical scheme for computing local tomography (LT) functions for the generalized Radon transform (GRT) is proposed. The effect oi mollification of the two LT functions is investigated. An algorithm for finding values of jumps of f knowing local tomographic data corresponding to the GRT is developed and tested on the simulated data.
引用
收藏
页码：1128 / 1162
页数：35
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