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Related Concept Videos

Parseval's Theorem01:18

Parseval's Theorem

Parseval's theorem is a fundamental concept in signal processing and harmonic analysis. It asserts that for a periodic function, the average power of the signal over one period equals the sum of the squared magnitudes of all its complex Fourier coefficients. This theorem, named after Marc-Antoine Parseval, provides a powerful tool for analyzing the energy distribution in signals.
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Spin Saturation Transfer Difference NMR (SSTD NMR): A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
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Basic properties of SS-PARSE parameter estimates.

Donald B Twieg1, Stanley J Reeves

  • 1Department of Biomedical Engineering, University of Alabama at Birmingham, Birmingham, AL 35294, USA. twieg@uab.edu

IEEE Transactions on Medical Imaging
|March 23, 2010
PubMed
Summary

Single shot parameter assessment by retrieval from signal encoding (SS-PARSE) offers accurate quantitative parameter maps from fast MRI scans. This method minimizes distortion, enhancing its utility in dynamic imaging applications like functional brain MRI.

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Quantitative Imaging
  • Biomedical Engineering

Background:

  • Single-shot magnetic resonance imaging (MRI) is crucial for dynamic applications but often suffers from distortions.
  • Existing methods struggle to provide accurate quantitative parameter maps from rapid acquisitions.
  • Quantitative parameter mapping is essential for precise tissue characterization and functional studies.

Purpose of the Study:

  • To discuss the underlying phenomena and practical performance of the Single shot parameter assessment by retrieval from signal encoding (SS-PARSE) method.
  • To analyze sources of bias and characterize the accuracy of SS-PARSE using simulations, phantoms, and in vivo data.
  • To provide practical guidelines for the application of SS-PARSE in quantitative MRI.

Main Methods:

  • SS-PARSE explicitly models magnetization decay and phase evolution during signal acquisition.
  • The method utilizes a sum-of-square-error cost function and an iterative search algorithm for parameter estimation.
  • Performance evaluation involved simulations, experimental phantoms, and in vivo MRI studies.

Main Results:

  • SS-PARSE provides quantitative estimates of transverse magnetization, phase, frequency, and relaxation rate.
  • The method is free from geometric distortion and blurring caused by field nonuniformities.
  • In vivo parameter maps demonstrate the practical applicability and accuracy of SS-PARSE.

Conclusions:

  • SS-PARSE is a promising technique for generating accurate, distortion-free quantitative parameter maps from single-shot MRI.
  • Understanding the cost function and iterative algorithm is key to optimizing estimation accuracy.
  • The method shows significant potential for advancing functional brain MRI and other dynamic imaging applications.