Reconstruction of a vector field in a ball from its normal radon transform

被引：0
|
作者：
Polyakova A.P. [1 ]
机构：
[1] Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, Novosibirsk
来源：
Journal of Mathematical Sciences | 2015年 / 205卷 / 3期
关键词：
Radon; Basis Vector; Potential Vector; Legendre Polynomial; Jacobi Polynomial;
D O I：
10.1007/s10958-015-2256-1
中图分类号：
学科分类号：
摘要：
We study a vector tomography problem of reconstructing potential components of a three-dimensional vector field from its normal Radon transform. The method of singular value decomposition is used. For the subspace of potential fields with potentials vanishing on the boundary, we construct an orthogonal basis and compute its image under the normal Radon transform. © 2015, Springer Science+Business Media New York.
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页码：418 / 439
页数：21
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