NDLI: An adaptive multigrid algorithm for region of interest diffuse optical tomography

Content Provider	IEEE Xplore Digital Library
Author	Guven, M. Yazici, B. Intes, X. Chance, B.
Copyright Year	2003
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Drexel Univ., Philadelphia, PA, USA (Guven, M.; Yazici, B.)
Abstract	Due to diffuse nature of light photons, diffuse optical tomography (DOT) image reconstruction is a challenging 3D problem with a relatively large number of unknowns and limited measurements. As a result, the computational complexity of the existing DOT image reconstruction algorithms remains prohibitive. In this work, we investigate an adaptive multigrid approach to improve the computational efficiency and the quantitative accuracy of DOT image reconstruction. The key idea is based on locally refined grid structure for region of interest (ROI). The ROI may be defined as diagnostically significant regions, strong background heterogeneities and/or deep optical edges, A 2-level mesh is generated to provide high resolution for ROI and sufficiently high resolution for the rest of the image. A least squares (LS) solution is formulated for the inverse problem. Fast adaptive composite (FAC) 2-grid algorithm is employed to solve the inverse problem. Conjugate gradient (CG) is used at the relaxation stage of FAC 2-grid. Same problem is also solved using direct CG and standard 2-grid method for globally fine grid structure. Our numerical studies demonstrate that the proposed FAC based adaptive 2-grid approach provides up to 90% reduction in computational requirements as compared to the direct iterative and standard 2-grid methods while providing better image quality. The fundamental ideas introduced in this study are directly applicable to other linear and nonlinear inverse problems with Newton type global linearization.
Sponsorship	IEEE Signal Process. Soc
File Size	286205
File Format	PDF
ISBN	0780377508
ISSN	15224880
DOI	10.1109/ICIP.2003.1246807
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-09-14
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Adaptive optics Nonlinear optics US Department of Transportation Image reconstruction Inverse problems Image resolution Character generation Single photon emission computed tomography Computational complexity Computational efficiency
Content Type	Text
Resource Type	Article

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