Microscopic anisotropy misestimation in spherical‐mean single diffusion encoding MRI
Sign Up to like & getrecommendations! Published in 2019 at "Magnetic Resonance in Medicine"
DOI: 10.1002/mrm.27606
Abstract: Microscopic fractional anisotropy (µFA) can disentangle microstructural information from orientation dispersion. While double diffusion encoding (DDE) MRI methods are widely used to extract accurate µFA, it has only recently been proposed that powder‐averaged single diffusion… read more here.
Keywords: diffusion; single diffusion; spherical mean; diffusion encoding ... See more keywords
Uncertainty principles for spherical mean $$L^2$$L2-multiplier operators
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DOI: 10.1007/s11868-017-0197-9
Abstract: We study the spherical mean $$L^2$$L2-multiplier operators, and for these operators we establish the Heisenberg–Pauli–Weyl uncertainty principle and Donoho–Stark’s uncertainty principle. read more here.
Keywords: uncertainty; principles spherical; spherical mean; mean multiplier ... See more keywords
To local reconstruction from the spherical mean Radon transform
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.055
Abstract: Abstract The article suggests a new approach using the so-called consistency method for the inversion of the spherical mean Radon transform in 2D with detectors on a line. We present a new iterative formula which… read more here.
Keywords: reconstruction; radon transform; spherical mean; mean radon ... See more keywords
Spectral theorems associated with the spherical mean two-wavelet multipliers
Sign Up to like & getrecommendations! Published in 2018 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2018.1484456
Abstract: ABSTRACT We introduce the notion of a spherical mean two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from into in terms of the symbol and the… read more here.
Keywords: spherical mean; two wavelet; mean two; wavelet multipliers ... See more keywords