2015
DOI: 10.1016/j.jmr.2015.10.017
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Joint design of k T -points trajectories and RF pulses under explicit SAR and power constraints in the large flip angle regime

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Cited by 25 publications
(39 citation statements)
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References 36 publications
(82 reference statements)
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“…For a unique slice, and for a given choice for k , the variable‐exchange method (VEM) can be used to initialize the nonlinear constrained optimization algorithm with a set of RF coefficients . To initialize the spoke locations, one could simply start with k = 0 (DC spoke) , or repeat the optimization on a set of (N seed ) random initial trajectories (trajectory seeds) and retain the best solution once all seeds have been tested . The second approach naturally increases the computational demand but enhances the chance to obtain the global optimum .…”
Section: Methodsmentioning
confidence: 99%
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“…For a unique slice, and for a given choice for k , the variable‐exchange method (VEM) can be used to initialize the nonlinear constrained optimization algorithm with a set of RF coefficients . To initialize the spoke locations, one could simply start with k = 0 (DC spoke) , or repeat the optimization on a set of (N seed ) random initial trajectories (trajectory seeds) and retain the best solution once all seeds have been tested . The second approach naturally increases the computational demand but enhances the chance to obtain the global optimum .…”
Section: Methodsmentioning
confidence: 99%
“…Step 4 . Starting from this feasible but likely suboptimal solution, proceed with the joint optimization of the M‐slices problem, where blipped k‐space trajectories and RF coefficients are further simultaneously optimized in a slice‐specific manner.…”
Section: Methodsmentioning
confidence: 99%
“…The k T ‐points pulse design consists in homogenizing the flip angle (FA) distribution in a region of interest by optimizing simultaneously RF complex coefficients, k‐space locations and durations of each k T ‐point sub‐pulse. With N kT sub‐pulses on a pTx system equipped with N Ch transmission channels, and using the vectors x , k , and t to represent, respectively, all sub‐pulse RF complex coefficients, 3D k‐space locations, and sub‐pulse durations, the optimization problem can be expressed as:arg minx,k,t1αTNvAx,k,t-αTI2,x,k,tdouble-struckCNitalicChNitalickT×double-struckR3NitalickT×double-struckRNkTwhere αT is the targeted FA (a scalar), I is the identity vector spanning the N v voxels in the region of interest, and A is the Bloch operator returning a FA for each voxel depending on its B1+ and Δf 0 values.…”
Section: Theorymentioning
confidence: 99%
“…[28][29][30] This was achieved using MatLab's (MathWorks, Natick, MA) built-in active-set algorithm on a laptop computer (Intel Core i7-4712HQ CPU, NVI-DIA Quadro K1100m GPU). [28][29][30] This was achieved using MatLab's (MathWorks, Natick, MA) built-in active-set algorithm on a laptop computer (Intel Core i7-4712HQ CPU, NVI-DIA Quadro K1100m GPU).…”
Section: K T -Points Pulse Designmentioning
confidence: 99%
“…A prototypical k T -points pulse design algorithm minimized the FA NRMSE, i.e., the root-mean-square error normalized to the target FA over the volume of interest, by optimizing simultaneously RF complex coefficients, k T -point locations, pulse and subpulse durations under SAR and hardware constraints. [28][29][30] This was achieved using MatLab's (MathWorks, Natick, MA) built-in active-set algorithm on a laptop computer (Intel Core i7-4712HQ CPU, NVI-DIA Quadro K1100m GPU). FAs were evaluated by numerical integration of Bloch's equation.…”
Section: K T -Points Pulse Designmentioning
confidence: 99%