LOCAL CONVERGENCE OF AN EM-LIKE IMAGE RECONSTRUCTION METHOD FOR DIFFUSE OPTICAL TOMOGRAPHY

LOCAL CONVERGENCE OF AN EM-LIKE IMAGE RECONSTRUCTION METHOD FOR DIFFUSE OPTICAL TOMOGRAPHY

In this paper, an EM-like image reconstruction iterative formula specifically developed for stable external sources is rewritten as a map towards a fixed point iteration. Eocal con- vergence of the image reconstruction method is then proved. Finally a three-dimensional numerical image reconstruction...

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Veröffentlicht in:Journal of computational mathematics 2011, Vol.29 (1), p.61-73
Hauptverfasser: Wang, Caifang, Zhou, Tie
Format: Artikel
Sprache:eng
Schlagworte:
Absorptivity
Boundary conditions
Cylinders
Diffusion coefficient
Image reconstruction
Inverse problems
Magnetic resonance imaging
Objective functions
Optical tomography
Optics
三维图像重建
固定点
局部收敛性
断层扫描
迭代公式
重建方法
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Beschreibung
Zusammenfassung:In this paper, an EM-like image reconstruction iterative formula specifically developed for stable external sources is rewritten as a map towards a fixed point iteration. Eocal con- vergence of the image reconstruction method is then proved. Finally a three-dimensional numerical image reconstruction example is presented.
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1006-m3182