2015
DOI: 10.1118/1.4934829
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Prior image based temporally constrained reconstruction algorithm for magnetic resonance guided high intensity focused ultrasound

Abstract: The PITCR approach is able to perform more accurate reconstructions of temperature maps compared to the TCR approach with highly undersampled data in MR guided high intensity focused ultrasound.

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Cited by 3 publications
(2 citation statements)
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References 33 publications
(53 reference statements)
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“…One of the commonly used algorithms in optimization of the regularized cost functions is the Alternate Direction Method of Multipliers 52,53,57,69,93,95,100,101,103 . Other techniques include the gradient descent algorithm, 72‐74 the Fast Composite Splitting Algorithm 61,82 and majorization–minimization‐based algorithms such as the fast iterative shrinkage‐thresholding algorithm 106 …”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…One of the commonly used algorithms in optimization of the regularized cost functions is the Alternate Direction Method of Multipliers 52,53,57,69,93,95,100,101,103 . Other techniques include the gradient descent algorithm, 72‐74 the Fast Composite Splitting Algorithm 61,82 and majorization–minimization‐based algorithms such as the fast iterative shrinkage‐thresholding algorithm 106 …”
Section: Resultsmentioning
confidence: 99%
“…Different transform operators 𝜙 and priors have been proposed to find a sparse representation of the images. This includes the wavelet transform, 27,[47][48][49][50][51][52] the total variation transform, 26,50,[52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68] group sparsity where images are divided into multiple sparse regions, 69 weighted quadratic prior that aims to suppress the noise and reconstruction artifacts based on the intensity differences between neighboring voxels, 56 gradient across the contrast dimension, 53,[70][71][72][73][74] second-order discrete derivative in the contrast dimension, 75,76 principal component analysis-based transform, 75,[77][78][79][80] image ratio constraints, where the ratio between a low-resolution image and the reconstructed image is used as a constraint, 50 and learned sparsifying transform 𝜙 from the measurements. 81 Apart from these, alternative ways to use regularizers and transform domains have been proposed.…”
Section: Regularized Reconstructionmentioning
confidence: 99%