Generalized Fourier Nuclear Magnetic Resonance (NMR) Imaging Methods

Donald B. Twieg

doi:10.1117/12.933854

29 December 1982 Generalized Fourier Nuclear Magnetic Resonance (NMR) Imaging Methods

Donald B. Twieg

Proceedings Volume 0347, Application of Optical Instrumentation in Medicine X; (1982) https://doi.org/10.1117/12.933854
Event: Application of Optical Instrumentation in Medicine X, 1982, New Orleans, United States

Abstract

The speed and accuracy with which NMR imaging methods can produce images in the presence of an inherently low signal-to-noise ratio is a major issue in the development of NMR imaging as a clinical imaging modality. In this regard, the Fourier and zeugmatographic techniques are among the most efficient in that they gather and interpret NMR signals from all portions of the imaged region simultaneously. Fourier NMR imaging has usually been viewed as a process of obtaining NMR spectra in the presence of constant field gradients followed by interpretation of the spectral distributions as projected spatial distributions. An equally valid perspective interprets the noisy raw NMR signals (FIDs) as corrupted partial spatial-frequency mappings of the imaged object. Insights afforded by this viewpoint are translatable straightforwardly into theoretical formulations which permit 1) quantitative comparison of performance characteristics of existing Fourier methods (including the zeugmatographic methods), and 2) derivation of new methods with optimal spatial-frequency sensitivity and accuracy characteristics, or with reduced minimum imaging times. A brief mathematical development of this spatial-frequency-domain interpretation of Fourier NMR imaging is followed by derivation of a proposed NMR imaging method with imaging performance capabilities superior to those of existing Fourier NMR imaging methods. Simulation results supporting these theoretical results are presented. Use of other optimality criteria to derive other new imaging methods is discussed.

Citation Download Citation

Donald B. Twieg "Generalized Fourier Nuclear Magnetic Resonance (NMR) Imaging Methods", Proc. SPIE 0347, Application of Optical Instrumentation in Medicine X, (29 December 1982); https://doi.org/10.1117/12.933854

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