Results 131 to 140 of about 4,845 (297)
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
SRRIT --- A FORTRAN Subroutine to Calculate the Dominant Invariant Subspace of a Nonsymmetric Matrix [PDF]
, 1992 SRRIT is a FORTRAN program to calculate an approximate orthonormal basis for a dominant invariant subspace of a real matrix A by the method of simultaneous iteration [12].
Bai Stewart May +3 more
core
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To accelerate MRI further, rapid B0 field modulations can be applied during oversampled readout to capture additional physical information, as in Wave‐CAIPI/FRONSAC/local B0 coils modulation techniques. These methods, however, turn the Fourier readout into a non‐Fourier‐encoded dimension that cannot be reconstructed by FFT, posing ...
Rui Tian, Klaus Scheffler
wiley +1 more source
Invariant subspaces and exact solutions of a class of dispersive evolution equations [PDF]
, 2020 a b s t r a c t The invariant subspace method is used to classify a class of systems of nonlinear dispersive evolution equations and determine their invariant subspaces and exact solutions.
Yinping Liu, Wen-Xiu Ma
core
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2$$ {D}_2 $$) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations).
Sune Nørhøj Jespersen +1 more
wiley +1 more source
SRRIT--A FORTRAN Subroutine to Calculate the Dominant Invariant Subspace of a Nonsymmetric Matrix [PDF]
, 1998 {\sl SRRIT} is a FORTRAN program to calculate an approximate orthonormal basis for a dominant invariant subspace of a real matrix $A$ by the method of simultaneous iteration \cite{stewart76a}.
Stewart, G. W., Bai, Z.
core
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Magnetic Resonance Fingerprinting (MRF) enables rapid quantitative imaging, but high‐resolution 3D reconstructions remain computationally expensive due to the NUFFTs required at every iteration, and the commonly used Locally Low Rank (LLR) regularization becomes ineffective at high acceleration.
Yonatan Urman +4 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a balanced SSFP (bSSFP) sequence for pulmonary 129Xe dissolved‐phase imaging based on a previously described double‐echo sequence facilitating separation into red blood cell and membrane signals, to test its feasibility and compare its SNR performance and imaging results to an analogous FLASH sequence.
Agilo L. Kern +4 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a unified image reconstruction framework that bridges real‐time and gated cardiac MRI, including quantitative MRI. Methods We introduce generative multitasking, which learns subject‐ and dataset‐specific implicit neural temporal bases from sequence timings and an interpretable latent space for cardiac and respiratory motion.
Xinguo Fang, Anthony G. Christodoulou
wiley +1 more source
Training Deep Learning Based Dynamic MR Image Reconstruction Using Synthetic Fractals
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To investigate whether synthetically generated fractal data can be used to train deep learning (DL) models for dynamic MRI reconstruction, thereby avoiding the privacy, licensing, and availability limitations associated with cardiac MR training datasets.
Anirudh Raman +10 more
wiley +1 more source