Self-similarity of Images in the Fourier Domain, with Applications to MRI

Authors:
G. S. Mayer;Edward R. Vrscay;M. L. Lauzon;B. G. Goodyear;J. R. Mitchell
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Canada N2L 3G1;Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Canada N2L 3G1;The Seaman Family MR Research Centre, Calgary, Canada T2N 2T9;The Seaman Family MR Research Centre, Calgary, Canada T2N 2T9 and The Department of Radiology, University of Calgary, Canada T2N 1N4;The Seaman Family MR Research Centre, Calgary, Canada T2N 2T9
Venue:
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Year:
2008

Citing 3
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Abstract

Results presented in this paper represent part of an ongoing research programme dedicated to the resolution enhancement of Fourier domain magnetic resonance (MR) data. Here we explore the use of self-similarity methods that may aid in frequency extrapolation of such data. To this end, we present analytical and empirical results demonstrating the self similarity of complex, Fourier domain MR data.