Shift-invariant approximations of structured shift-variant blurring matrices

Authors:
Claudio Estatico;Fabio Di Benedetto
Affiliations:
Dipartimento di Matematica, Genova, Italy 16146;Dipartimento di Matematica, Genova, Italy 16146
Venue:
Numerical Algorithms
Year:
2013

Citing 3
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Abstract

In this paper we analyze in a general and pure algebraic way imaging systems characterized by shift-variant integral kernels which hide some intrinsic shift-invariance, related to an appropriate coordinate change; we call as structured shift-variant these kinds of imaging systems. In this respect, we propose an algorithm for finding a coordinate transformation which allows a structured shift-variant PSF to become explicitly shift-invariant. The usage of the computed coordinate transformation will highly reduce the numerical complexity of the imaging system, providing a real time deblurring in some real applications. Some preliminary numerical results show the effectiveness of the proposal.