2016
Accelerated High-Dimensional MR Imaging With Sparse Sampling Using Low-Rank Tensors
He J, Liu Q, Christodoulou A, Ma C, Lam F, Liang Z. Accelerated High-Dimensional MR Imaging With Sparse Sampling Using Low-Rank Tensors. IEEE Transactions On Medical Imaging 2016, 35: 2119-2129. PMID: 27093543, PMCID: PMC5487008, DOI: 10.1109/tmi.2016.2550204.Peer-Reviewed Original ResearchConceptsLow-rank tensorSparsity constraintImage reconstructionGroup sparsity constraintHigh-dimensional imagesAlternating direction methodCore tensorSubspace estimationData spaceLong data acquisition timeLow-rankUndersampled dataSparse samplingDirection methodData acquisition timeImagesMeasured dataSparsityAcquisition timeConstraintsMathematical structureApplicationsDatasetMRI applicationsSubspace
2015
Spectral Estimation for Magnetic Resonance Spectroscopic Imaging with Spatial Sparsity Constraints
Ning Q, Ma C, Liang Z. Spectral Estimation for Magnetic Resonance Spectroscopic Imaging with Spatial Sparsity Constraints. 2015, 1482-1485. DOI: 10.1109/isbi.2015.7164157.Peer-Reviewed Original ResearchSignal-to-noise ratioState-of-the-art methodsState-of-the-artLow signal-to-noise ratioSpatial sparsity constraintsJoint estimation problemSpectral estimationRegularization frameworkSparsity constraintEstimation accuracyEstimation problemRobust solutionExperimental resultsSpatial constraintsModel nonlinearityConstraintsSpectral characteristicsQuantitative problemsImagesParametersNonlinearitySimulation
2013
PERFORMANCE ANALYSIS OF DENOISING WITH LOW-RANK AND SPARSITY CONSTRAINTS
Lam F, Ma C, Liang Z. PERFORMANCE ANALYSIS OF DENOISING WITH LOW-RANK AND SPARSITY CONSTRAINTS. 2013, 1223-1226. DOI: 10.1109/isbi.2013.6556701.Peer-Reviewed Original ResearchLow-rankDenoising methodSparsity constraintLow-rank propertyNoise reductionConstrained Cramer-RaoImpressive empirical resultsDenoising effectDenoising capabilityDenoisingSparsityTheoretical boundsMaximum noise reductionCramer-RaoNumerical simulationsUpper boundImaging applicationsConstraintsEmpirical resultsBoundsNoiseMethodCapabilityImages