In this paper, we present an algorithm for deblurring and interpolating digital images. Deblurring is an ill-posed problem, which can be made well-behaved by introducing assumptions about the input image. The algorithm described in this paper assumes that images can be described by local polynomial expansions. The mapping between an image and the coefficients of the polynomial approximation is called a polynomial transform. It is shown that, by using this image approximation, deblurring becomes equivalent to estimating the polynomial transform coefficients of the image. In practice, the noise and sampling of the blurred image limit the order of the coefficients that can be estimated reliably.

Date Published: 1 November 1989
PDF: 12 pages
Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); doi: 10.1117/12.970076

Published in SPIE Proceedings Vol. 1199:
Visual Communications and Image Processing IV
William A. Pearlman, Editor(s)