2015
DOI: 10.1364/boe.6.001648
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Improved sparse reconstruction for fluorescence molecular tomography with L_1/2 regularization

Abstract: Fluorescence molecular tomography (FMT) is a promising imaging technique that allows in vivo visualization of molecular-level events associated with disease progression and treatment response. Accurate and efficient 3D reconstruction algorithms will facilitate the wide-use of FMT in preclinical research. Here, we utilize L 1/2 -norm regularization for improving FMT reconstruction. To efficiently solve the nonconvex L 1/2 -norm penalized problem, we transform it into a weighted L 1 -norm minimization problem an… Show more

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Cited by 45 publications
(21 citation statements)
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“…In this case the functional (12) is written and minimised already for the signal in the space of the transform (for the image f ). Such approach, called compressive sensing or compressive sampling [255][256][257], is successfully applied in DOT [248,249,252,254], but is even more used in DFMT [258][259][260][261][262][263][264][265][266][267][268][269][270][271][272]. As seen from the presented references, the publication boom falls on the recent 3-4 years.…”
Section:  mentioning
confidence: 99%
“…In this case the functional (12) is written and minimised already for the signal in the space of the transform (for the image f ). Such approach, called compressive sensing or compressive sampling [255][256][257], is successfully applied in DOT [248,249,252,254], but is even more used in DFMT [258][259][260][261][262][263][264][265][266][267][268][269][270][271][272]. As seen from the presented references, the publication boom falls on the recent 3-4 years.…”
Section:  mentioning
confidence: 99%
“…where N X R ∈ is the image to be reconstructed; M b R ∈ is the angiograms stored in a single vector; A is the system matrix which models the cone-beam imaging process of the angiograms; 1 X is the 1 l norm of the reconstructed image which is minimized to enforce the sparsity of the image [24]. A novel strategy of alternate reconstruction and segmentation was developed to suppress the non-vessel background of the angiograms which have great adverse effect on the reconstruction quality.…”
Section: Initial Reconstructionmentioning
confidence: 99%
“…Recently, nonconvex L p regularizer¯nd its place in°uorescence molecular tomography (FMT) for sparsity enhancement. [15][16][17][18][19][20][21] Chen et al introduced L p regularizer into BLT and proposed the weighted interior-point algorithm (WIPA) for solving the nonconvex optimization problem. 22 In this paper, we present a L 1=2 norm-based reconstruction algorithm for BLT.…”
Section: Introductionmentioning
confidence: 99%