Image analysis by basis pursuit

Statistics – Applications

Scientific paper

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Scientific paper

This paper presents an image analysis by basis pursuit, such analysis, depending the dictionary employed, can provide an image multi-scale edge representation such as the Mallat and Hwang's representation. When a stationary dictionary is employed while processing images by basis pursuit, the coefficients selected from the dictionary can characterize very well the most important image features, because of this well characterization we obtain directly an image edge representation from the coefficients selected. According to the results presented in this paper, we can say processing images by basis pursuit provides a new alternative to multi-scale image edge detection which should be exploited and expanded to other image processing applications such as image compression, de-noising, segmentation, image enhancement or image interpretation.

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