On the Inversion of the xfct Radon Transform

被引：3

作者：

Miqueles, Eduardo X. ^{[1
]}

De Pierro, Alvaro Rodolfo ^{[1
]}

机构：

[1] Univ Estadual Campinas, Dept Appl Math, BR-13083859 Sao Paulo, Brazil

来源：

STUDIES IN APPLIED MATHEMATICS | 2011年 / 127卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

FLUORESCENT COMPUTER-TOMOGRAPHY; RECONSTRUCTION ALGORITHM; RAY;

D O I：

10.1111/j.1467-9590.2011.00527.x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It has been recently shown by Fokas [1, 2, 3] and Novikov [4] that the spectral analysis of a particular partial differential equation yields the inversion formula for the problem of computerized emission tomography. In this paper, we show that a similar analysis can be made for the case of X-ray fluorescence tomography.

引用

页码：394 / 419

页数：26

共 23 条

[1]

Ablowitz M.J., 2003, Complex Variables

[2]

[Anonymous], 2001, Mathematical methods in image reconstruction

[3]

BARBANO P. E., 2009, P C DIG SIGN PROC SA

[4] A NEW TOMOGRAPHIC DEVICE BASED ON THE DETECTION OF FLUORESCENT X-RAYS [J].

CESAREO, R ;

MASCARENHAS, S .

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1989, 277 (2-3) :669-672

[5] Quantitative characterization of microsamples by x-ray fluorescence tomography [J].

Chukalina, M ;

Simionovici, A ;

Snigirev, A ;

Jeffries, T .

X-RAY SPECTROMETRY, 2002, 31 (06) :448-450

[6] What non-linear methods offered to linear problems? The Fokas transform method [J].

Dassios, George .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2007, 42 (01) :146-156

[7]

Deans S, 1983, RADON TRANSFORM SOME

[8]

Fokas A.S., 2008, SIAM, V78

[9] Reconstruction algorithm for single photon emission computed tomography and its numerical implementation [J].

Fokas, AS ;

Iserles, A ;

Marinakis, V .

JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2006, 3 (06) :45-54

[10]

FOKAS AS, 1991, CR ACAD SCI I-MATH, V313, P75

← 1 2 3 →