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Advances in Astronomy
Volume 2015, Article ID 484379, 8 pages
http://dx.doi.org/10.1155/2015/484379
Research Article

The Impact of KLT Coder on the Image Distortion in Astronomy

Faculty of Electrical Engineering, Czech Technical University in Prague, 166 27 Prague, Czech Republic

Received 3 August 2015; Accepted 4 November 2015

Academic Editor: Josep M. Trigo-Rodríguez

Copyright © 2015 Petr Pata. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Presented paper is devoted to the application of Karhunen-Loève transform (KLT) for compression and to study of KLT impact on the image distortion in astronomy. This transform is an optimal fit for images with Gaussian probability density function in order to minimize the root mean square error (RMSE). The main part of the encoder is proposed in relation to statistical image properties. Selected astronomical image processing algorithms are used for the encoder testing. The astrometry and point spread function distortion are selected as the most important criteria. The results are compared with JPEG2000 standard. The KLT encoder provides better results from the RMSE point of view. These results are promising and show the novel approach to the design of lossy image compression algorithms and also suitability for algorithms of image data structuring for retrieving, transfer, and distribution.