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Enhancing sparse representation of color images by cross channel transformation

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  • Laura Rebollo-Neira
  • Aurelien Inacio

Abstract

Transformations for enhancing sparsity in the approximation of color images by 2D atomic decomposition are discussed. The sparsity is firstly considered with respect to the most significant coefficients in the wavelet decomposition of the color image. The discrete cosine transform is singled out as an effective 3 point transformation for this purpose. The enhanced feature is further exploited by approximating the transformed arrays using an effective greedy strategy with a separable highly redundant dictionary. The relevance of the achieved sparsity is illustrated by a simple encoding procedure. On typical test images the compression at high quality recovery is shown to significantly improve upon JPEG and WebP formats.

Suggested Citation

  • Laura Rebollo-Neira & Aurelien Inacio, 2023. "Enhancing sparse representation of color images by cross channel transformation," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-17, January.
    • Handle: RePEc:plo:pone00:0279917
    DOI: 10.1371/journal.pone.0279917
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    1. Rebollo-Neira, L. & Bowley, J. & Constantinides, A.G. & Plastino, A., 2012. "Self-contained encrypted image folding," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5858-5870.
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