Blind identification of multichannel FIR blurs and perfect imagerestoration
Giannakis, G.B.; Heath, R.W., Jr.
Image Processing, IEEE Transactions on
Volume 9, Issue 11, Nov 2000 Page(s):1877 - 1896
Digital Object Identifier 10.1109/83.877210
Summary:Despite its practical importance in image processing and computer
vision, blind blur identification and blind image restoration have so
far been addressed under restrictive assumptions such as all-pole
stationary image models blurred by zero or minimum-phase point-spread
functions. Relying upon diversity (availability of a sufficient number
of multiple blurred images), we develop blind FIR blur identification
and order determination schemes. Apart from a minimal persistence of the
excitation condition (also present with nonblind setups), the
inaccessible input image is allowed to be deterministic or random and of
unknown color of distribution. With the blurs satisfying a certain
co-primeness condition in addition, we establish existence and
uniqueness results which guarantee that single input/multiple-output FIR
blurred images can be restored blindly, though perfectly in the absence
of noise, using linear FIR filters. Results of simulations employing the
blind order determination, blind blur identification, and blind image
restoration algorithms are presented. When the SNR is high, direct image
restoration is found to yield better results than indirect image
restoration which employs the estimated blurs. In low SNR, indirect
image restoration performs well while the direct restoration results
vary with the delay but improve with larger equalizer orders
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