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

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

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993spie.2029...35m&link_type=abstract

Proc. SPIE Vol. 2029, p. 35-45, Digital Image Recovery and Synthesis II, Paul S. Idell; Ed.

Physics

Scientific paper

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.

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