The Air Force images space-borne objects from the ground with
optical systems that suffer from the effects of atmospheric
turbulence. Many image processing techniques exist to alleviate
these effects, but they are computationally complex and require
large amounts of processing time. A faster image processing system
would greatly improve images of objects observed through the
turbulent atmosphere and help national strategists glean higher
quality intelligence on other nations' space platforms. One
promising mathematical method to decrease the computational
complexity of image processing algorithms involves symmetric
convolution. Symmetric convolution is a recently discovered
property of trigonometric transforms that allows the convolution of
sequences to be calculated through point multiplication in the
trigonometric transform domain. This method holds distinct
advantages over existing matrix techniques.
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