Variance reduction in Fourier spectra and their corresponding images via support constraints

Charles L. Matson

doi:10.1117/12.162015

9 November 1993 Variance reduction in Fourier spectra and their corresponding images via support constraints

Charles L. Matson

Proceedings Volume 2029, Digital Image Recovery and Synthesis II; (1993) https://doi.org/10.1117/12.162015
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The use of support constraints for improving the quality of Fourier spectra, their associated images, and the relationship between the two domains is discussed in this paper. Theoretical relationships are derived which predict the noise reduction in both the image domain and the Fourier domain achieved by single and repeated application of support constraints for the case of wide sense stationary Fourier domain noise. It is shown that the application of support constraints can increase noise inside the support constraint if the application is not done correctly. An iterative algorithm is proposed which enforces support constraints in such a way that noise is never increased inside the support constraint and the algorithm achieves the minimum possible noise in a finite number of steps.

Citation Download Citation

Charles L. Matson "Variance reduction in Fourier spectra and their corresponding images via support constraints", Proc. SPIE 2029, Digital Image Recovery and Synthesis II, (9 November 1993); https://doi.org/10.1117/12.162015

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