Local Multichannel Deconvolution

Authors:
G. R. Easley;D. F. Walnut
Affiliations:
System Planning Corporation, 1000 Wilson Blvd, Arlington, VA 22209, USA;George Mason University, 4400 University Dr., Fairfax, VA 22030, USA. dwalnut@gmu.edu
Venue:
Journal of Mathematical Imaging and Vision
Year:
2003

Citing 9
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Abstract

We introduce a method to locally restore multiple blurred images that yields an extended boundary of the restored image. In particular, we provide a method for finding solutions that are compactly (finitely) supported to the multichannel deconvolution equation when the impulse responses are also compactly supported distributions. This method allows us to broaden the scope of calculating solutions for any particular type of function beyond what was possible in D.F. Walnut (J. Fourier Anal. Appl., Vol. 4, No. 6, pp. 669–709, 1998). During reconstruction, noise from the blurred images is added locally in neighborhoods dependent on the support of the restoration filters. Numerical simulations indicate that these filters may highly increase the magnitude of the noise but with a slight regularization of the filters, the results obtained show the effectiveness of this method.