Application of Polynomial Transforms in Image Deblurring

Jean-Bernard Martens

doi:10.1117/12.970076

1 November 1989 Application of Polynomial Transforms in Image Deblurring

Jean-Bernard Martens

Proceedings Volume 1199, Visual Communications and Image Processing IV; (1989) https://doi.org/10.1117/12.970076
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States

Abstract

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.

Citation Download Citation

Jean-Bernard Martens "Application of Polynomial Transforms in Image Deblurring", Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); https://doi.org/10.1117/12.970076

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