INVERSION OF THE RADON-TRANSFORM WITH INCOMPLETE DATA

被引：5

作者：

RAMM, AG

机构：

[1] Mathematics Department, Kansas State University, Manhattan, Kansas, 66506, Cardwell Hall

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1992年 / 15卷 / 03期

关键词：

D O I：

10.1002/mma.1670150303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Randon transform R(p,theta), theta is-an-element-of S(n-1), p is-an-element-of R1, of a compactly supported function f(x) with support in a ball B(a) of radius a centred at the origin is given for all theta is-an-element-of S(n-1), where S(n-1) is an open set on S(n-1), and all p is-an-element-of(- infinity, infinity), n greater-than-or-equal-to 2. An approximate formula is given to calculate f(x) from the given data.

引用

页码：159 / 166

页数：8

共 12 条

[1]

ERDELYI AS, 1959, ASYMPTOTIC EXPANSION

[2] CONE BEAM RECONSTRUCTION WITH SOURCES ON A CURVE [J].