TY - JOUR
A2 - Seo, Jin Keun
AU - Yoshikawa, Kogo
AU - Nakamura, Gen
PY - 2013
DA - 2013/04/04
TI - Model Independent MRE Data Analysis
SP - 912920
VL - 2013
AB - For the diagnosing modality called MRE (magnetic resonance elastography), the displacement vector of a wave propagating in a human tissue can be measured. The average of the local wavelength from this measured data could be an index for the diagnosing, because the local wave length becomes larger when the tissue is stiffer. By assuming that the local form of the wave is given approximately as multiple complex plane waves, we identify the real part of the complex linear phase of the strongest plane wave of this multiple complex plane waves, by first applying the FBI transform (Fourier-Bros-Iagolnitzer transform) with an appropriate size of Gaussian window and then taking the maximum of the modulus of the transform with respect to the Fourier variable. The real part of the linear phase is nothing but the real inner product of the wave vector and the position vector. Similarly the imaginary part of the linear phase describes the attenuation of the wave and it is given as a real inner product of a real vector and the position vector. This vector can also be recovered by our method. We also apply these methods to design some denoising and filtering for noisy MRE data.
SN - 1748-670X
UR - https://doi.org/10.1155/2013/912920
DO - 10.1155/2013/912920
JF - Computational and Mathematical Methods in Medicine
PB - Hindawi Publishing Corporation
KW -
ER -