Direct and accelerated parameter mapping using the unscented Kalman filter

Magn Reson Med. 2016 May;75(5):1989-99. doi: 10.1002/mrm.25796. Epub 2015 Jun 3.

Abstract

Purpose: To accelerate parameter mapping using a new paradigm that combines image reconstruction and model regression as a parameter state-tracking problem.

Methods: In T2 mapping, the T2 map is first encoded in parameter space by multi-TE measurements and then encoded by Fourier transformation with readout/phase encoding gradients. Using a state transition function and a measurement function, the unscented Kalman filter can describe T2 mapping as a dynamic system and directly estimate the T2 map from the k-space data. The proposed method was validated with a numerical brain phantom and volunteer experiments with a multiple-contrast spin echo sequence. Its performance was compared with a conjugate-gradient nonlinear inversion method at undersampling factors of 2 to 8. An accelerated pulse sequence was developed based on this method to achieve prospective undersampling.

Results: Compared with the nonlinear inversion reconstruction, the proposed method had higher precision, improved structural similarity and reduced normalized root mean squared error, with acceleration factors up to 8 in numerical phantom and volunteer studies.

Conclusion: This work describes a new perspective on parameter mapping by state tracking. The unscented Kalman filter provides a highly accelerated and efficient paradigm for T2 mapping.

Keywords: accelerated imaging; p-space; parameter mapping; unscented Kalman filter.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Brain / diagnostic imaging*
  • Fourier Analysis
  • Humans
  • Image Enhancement / methods
  • Image Processing, Computer-Assisted / methods*
  • Models, Statistical
  • Models, Theoretical
  • Monte Carlo Method
  • Phantoms, Imaging
  • Prospective Studies
  • Regression Analysis
  • Reproducibility of Results
  • Signal-To-Noise Ratio