Comput Math Methods Med - Model independent MRE data analysis.

Tópicos

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Resumo

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.

Resumo Limpo

diagnos modal call mre magnet reson elastographi displac vector wave propag human tissu can measur averag local wavelength measur data index diagnos local wave length becom larger tissu stiffer assum local form wave given approxim multipl complex plane wave identifi real part complex linear phase strongest plane wave multipl complex plane wave first appli fbi transform fourierbrosiagolnitz transform appropri size gaussian window take maximum modulus transform respect fourier variabl real part linear phase noth real inner product wave vector posit vector similar imaginari part linear phase describ attenu wave given real inner product real vector posit vector vector can also recov method also appli method design denois filter noisi mre data

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