Regularization methods for inverse problems in X-ray tomography

被引：17

作者：

Titarenko, Valeriy ^{[1
]}

Bradley, Robert ^{[1
]}

Martin, Christopher ^{[1
]}

Withers, Philip J. ^{[1
]}

Titarenko, Sofya ^{[2
]}

机构：

[1] Univ Manchester, Henry Moseley Xray Imaging Facil, Sch Mat, Manchester M13 9PL, Lancs, England

[2] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119991, Russia

来源：

DEVELOPMENTS IN X-RAY TOMOGRAPHY VII | 2010年 / 7804卷

关键词：

ring artefacts; a priori information; regularization; RING ARTIFACTS;

D O I：

10.1117/12.860260

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples.

引用

页数：10

共 25 条

[1]

[Anonymous], 1977, Solution of illposed problems

[2]

[Anonymous], 1963, Soviet Math

[3]

[Anonymous], OPTICAL IMAGING AB 2

[4]

[Anonymous], 1963, Soviet Mathematics Doklady

[5]

[Anonymous], 1902, PRINCETON U B

[6]

Banhart J., 2008, ADV TOMOGRAPHIC METH

[7] Compensation of ring artefacts in synchrotron tomographic images [J].

Boin, Mirko ;

Haibel, Astrid .

OPTICS EXPRESS, 2006, 14 (25) :12071-12075

[8] X-ray microtomography scanner using time-delay integration for elimination of ring artefacts in the reconstructed image [J].

Davis, GR ;

Elliott, JC .

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1997, 394 (1-2) :157-162

[9]

Engl H. W., 1996, REGULARIZATION INVER

[10] PRACTICAL CONE-BEAM ALGORITHM [J].

FELDKAMP, LA ;

DAVIS, LC ;

KRESS, JW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1984, 1 (06) :612-619

← 1 2 3 →