Interpolation by bivariate polynomials based on Radon projections

被引：21
|
作者：
Bojanov, B
Georgieva, IK
机构：
[1] Univ Sofia, Dept Math, Sofia 1164, Bulgaria
[2] Bulgarian Acad Sci, Inst Math, BU-1113 Sofia, Bulgaria
来源：
STUDIA MATHEMATICA | 2004年 / 162卷 / 02期
关键词：
D O I：
10.4064/sm162-2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For any given set of angles theta(0) < ... < thetan in [0, pi), we show that a set of ((n+2)(2)) Radon projections, consisting of k parallel X-ray beams in each direction theta(k), k = 0,..., n, determines uniquely algebraic polynomials of degree n in two variables.
引用
收藏
页码：141 / 160
页数：20
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