Space domain constraints for least squares restoration of images degraded by atmospheric turbulence

Donald L. Durack; Michael T. Valley

doi:10.1117/12.21868

1 September 1990 Space domain constraints for least squares restoration of images degraded by atmospheric turbulence

Donald L. Durack, Michael T. Valley

Proceedings Volume 1312, Propagation Engineering: Third in a Series; (1990) https://doi.org/10.1117/12.21868
Event: 1990 Technical Symposium on Optics, Electro-Optics, and Sensors, 1990, Orlando, FL, United States

Abstract

The residual image is analyzed to determine a constraint which regularizes the ill-posed least squares image restoration problem. The energy in the residual image is constrained at a level which depends on the noise statistics, image degradation, and restoration method. This constraint is applied individually to different image subregions, to find different regularizations appropriate in each subregion. This defines a spatially variant restoration method, even for a spatially invariant image degradation. Least squares image restoration methods using this constraint are applied to an artificial image which has been degraded by simulated long-exposure atmospheric turbulence and random noise. Quantitative analysis of the restored image shows significant improvement with this constraint, in comparison to the usual constraint on residual energy which depends only on noise statistics.

Citation Download Citation

Donald L. Durack and Michael T. Valley "Space domain constraints for least squares restoration of images degraded by atmospheric turbulence", Proc. SPIE 1312, Propagation Engineering: Third in a Series, (1 September 1990); https://doi.org/10.1117/12.21868

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