A large class of inversion formulae for the 2D Radon transform of functions of compact support

被引：34

作者：

Clackdoyle, R ^{[1
]}

Noo, F ^{[1
]}

机构：

[1] Univ Utah, Dept Radiol, Salt Lake City, UT 84132 USA

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 04期

关键词：

D O I：

10.1088/0266-5611/20/4/016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We demonstrate that there are many direct inversion formulae for the two-dimensional (2D) Radon transform that are not equivalent to Radon's original inversion formula. Our explicit formulae have a form similar to classical filtered backprojection but do require some information about. the support of the object function. We present some numerical results to illustrate significant differences in reconstructions as alternate formulae are applied to noisy data.

引用

页码：1281 / 1291

页数：11

共 11 条

[1] CLACKDOYLE R, 2004, IN PRESS IEEE T NUCL
[2] Edholm P. R., 1986, Proceedings of the SPIE - The International Society for Optical Engineering, V671, P8, DOI 10.1117/12.966672
[3] Hamaker C, 1980, ROCKY MOUNTAIN J MAT, V10, P253
[4] Helgason S., 1980, RADON TRANSFORM
[5] HERMAN GT, 1980, IMAGE RECONSRUCTION
[6] Kak AC, 1987, PRINCIPLES COMPUTERI
[7] KUDO H, 2002, 2002 IEEE NUCL SCI S, V2, P902
[8] LUDWIG D, 1966, COMMUN PUR APPL MATH, V19, P49
[9] Natterer F., 1986, The Mathematics of Computerized Tomography
[10] Image reconstruction from fan-beam projections on less than a short scan
Noo, F
Defrise, M
Clackdoyle, R
Kudo, H
[J]. PHYSICS IN MEDICINE AND BIOLOGY, 2002, 47 (14) : 2525 - 2546

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