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

Santiago Venegas-Martinez; Boris Escalante-Ramirez; Francisco Garcia-Ugalde; Jose Antonio Garcia-Barreto

doi:10.1117/12.217393

22 August 1995 Image restoration, deblurring, and coding by means of polynomial transforms

Santiago Venegas-Martinez, Boris Escalante-Ramirez, Francisco Garcia-Ugalde, Jose Antonio Garcia-Barreto

Proceedings Volume 2564, Applications of Digital Image Processing XVIII; (1995) https://doi.org/10.1117/12.217393
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

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.

Citation Download Citation

Santiago Venegas-Martinez, Boris Escalante-Ramirez, Francisco Garcia-Ugalde, and Jose Antonio Garcia-Barreto "Image restoration, deblurring, and coding by means of polynomial transforms", Proc. SPIE 2564, Applications of Digital Image Processing XVIII, (22 August 1995); https://doi.org/10.1117/12.217393

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