Accelerating MR parameter mapping using sparsity-promoting regularization in parametric dimension
نویسندگان
چکیده
منابع مشابه
Accelerated MR parameter mapping with low-rank and sparsity constraints.
PURPOSE To enable accurate magnetic resonance (MR) parameter mapping with accelerated data acquisition, utilizing recent advances in constrained imaging with sparse sampling. THEORY AND METHODS A new constrained reconstruction method based on low-rank and sparsity constraints is proposed to accelerate MR parameter mapping. More specifically, the proposed method simultaneously imposes low-rank...
متن کاملRepresenter Theorems for Sparsity-Promoting ℓ1 Regularization
We present a theoretical analysis and comparison of the effect of `1 versus `2 regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the solution is specified as the minimizer of a convex cost functional. We derive a series of representer theorems that give the generic form of the solution dependin...
متن کاملFast MR Parameter Mapping using k-t PCA
INTRODUCTION: Quantification of MR-Parameters plays an increasing role in clinical applications. Simultaneous acquisition of quantitative T1, T2 and spin-density maps normally requires 2-3 min for one slice using a segmented Inversion Recovery IR-TrueFISP Sequence [1]. An additional reduction in acquisition time can be achieved by undersampling k-space, resulting in aliased signals that can be ...
متن کاملNonparametric sparsity and regularization
In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric model, hence avoiding linear or additive models. The key idea is to measure the importance of each variable in the model by making use of partial derivatives...
متن کاملSparsity regularization in dynamic elastography.
We consider the inverse problem of continuum mechanics with the tissue deformation described by a mixed displacement-pressure finite element formulation. The mixed formulation is used to model nearly incompressible materials by simultaneously solving for both elasticity and pressure distributions. To improve numerical conditioning, a common solution to this problem is to use regularization to c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Magnetic Resonance in Medicine
سال: 2012
ISSN: 0740-3194
DOI: 10.1002/mrm.24577