Passive Shimming of MRI Static Magnetic Field Using Regularization of Truncated Singular Value Decomposition
نویسندگان
چکیده
منابع مشابه
Passive Shimming of MRI Static Magnetic Field Using Regularization of Truncated Singular Value Decomposition
PURPOSE To develop a new shimming calculation method, which can calculate iron piece placements rapidly to make the magnetic field homogeneous at intended homogeneity and then to make the shimming working time short. MATERIALS AND METHODS The shimming calculation yields magnetic moment (MM) distribution, which is calculated by the truncated singular value decomposition (SVD) from the measured...
متن کاملOn the truncated multilinear singular value decomposition
In this report, we investigate the truncated multilinear singular value decomposition (MLSVD), proposed in De Lathauwer et al. (2000). Truncating the MLSVD results in an approximation, with a prescribed multilinear rank, to a tensor. We present a new error expression for an approximate Tucker decomposition with orthogonal factor matrices. From this expression, new insights are obtained which le...
متن کاملAnalysis of Non-negative Tikhonov and Truncated Singular Value Decomposition Regularization Inversion in Pcs
Considering non-negative characteristic of the particle size distribution (PSD), based on trust-regionreflective Newton method, two non-negative regularization methods of truncated singular value decomposition (TSVD) and Tikhonov (TIK) for photon correlation spectroscopy (PCS) are proposed in this paper. Combining two regularization parameter criterions of GCV and L-curve, two non-negative regu...
متن کاملOn the Statistical Meaning of Truncated Singular Value Decomposition
Empirical data collected in practice usually are not exact. For various reasons it is often suggested in many applications to replace the original data matrix by some lower dimensional representation obtained via subspace approximation or truncation. The truncated singular value decomposition, for example, is one of the most commonly used representations. This note attempts to shed some light o...
متن کاملon the regularization of the inverse solution of abel-poisson integral based on truncated singular value decomposition and generalized tikhonov regularization methods
the methods applied to regularization of the ill-posed problems can be classified under “direct” and “indirect” methods. practice has shown that the effects of different regularization techniques on an ill-posed problem are not the same, and as such each ill-posed problem requires its own investigation in order to identify its most suitable regularization method. in the geoid computations witho...
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 Medical Sciences
سال: 2017
ISSN: 1347-3182,1880-2206
DOI: 10.2463/mrms.mp.2016-0046