Image restoration, deblurring, and coding by means of polynomial transforms

Statistics – Applications

Scientific paper

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Scientific paper

We present a technique for image processing and coding based on the polynomial transform. This is an image representation model that analyzes an image by locally expanding it into a weighted sum of orthogonal polynomials. In this article we use the polynomial transform to build applications, astronomical images being the main target. The applications that we propose are developed on pyramidal structures. Their purpose is to analyze an astronomial image at different spatial scales, generating applications such as coding based on deblurring from its representation at a lower scale and followed by a scheme of prediction; another application is the reduction of noise in images generated by an astronomical acquisition system.

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