APPLICATIONS OF POLYNOMIAL-TRANSFORMS IN ASTRONOMICAL IMAGE-RESTORATION AND DECONVOLUTION

Based on the polynomial transform theory we show applications for nois e reduction, deconvolution and coding in astronomical images. The prop er interpretation of an astronomical image, requires to obtain relevan t information from the structures contained in it. This procedure requ ires to process the data locally. For our applications, it is required that the image data, which are given as an array of intensity values, be interpreted into meaningful patterns. For this purpose, we use the Hermite transform. This transform is an image representation model th at analyzes an image by locally expanding it into a weighted sum of or thogonal polynomials. The applications that we propose are developed o n pyramidal structures. Their purpose is to analyze optical astronomic al images at different spatial scales.