Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction

Demberg K, Bertleff M, Bachert P, Kuder TA, Laun FB (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Physical Review E American Physical Society

Book Volume: 97

Journal Issue: 5-1

DOI: 10.1103/PhysRevE.97.052412

Abstract

This paper presents an approach to solving the phase problem in nuclear magnetic resonance (NMR) diffusion pore imaging, a method that allows imaging the shape of arbitrary closed pores filled with an NMR-detectable medium for investigation of the microstructure of biological tissue and porous materials. Classical q-space imaging composed of two short diffusion-encoding gradient pulses yields, analogously to diffraction experiments, the modulus squared of the Fourier transform of the pore image which entails an inversion problem: An unambiguous reconstruction of the pore image requires both magnitude and phase. Here the phase information is recovered from the Fourier modulus by applying a phase retrieval algorithm. This allows omitting experimentally challenging phase measurements using specialized temporal gradient profiles. A combination of the hybrid input-output algorithm and the error reduction algorithm was used with dynamically adapting support (shrinkwrap extension). No a priori knowledge on the pore shape was fed to the algorithm except for a finite pore extent. The phase retrieval approach proved successful for simulated data with and without noise and was validated in phantom experiments with well-defined pores using hyperpolarized xenon gas.

Authors with CRIS profile

Frederik Bernd Laun Professur für quantitative MR-Bildgebung (Heisenberg-Professur)

Involved external institutions

Deutsches Krebsforschungszentrum (DKFZ) DE Germany (DE) Ruprecht-Karls-Universität Heidelberg DE Germany (DE)

How to cite

APA:

Demberg, K., Bertleff, M., Bachert, P., Kuder, T.A., & Laun, F.B. (2018). Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction. Physical Review E, 97(5-1). https://dx.doi.org/10.1103/PhysRevE.97.052412

MLA:

Demberg, Kerstin, et al. "Experimental determination of pore shapes using phase retrieval from q-space NMR diffraction." Physical Review E 97.5-1 (2018).

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