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Sparse representation based down-sampling image compression
Authors:Jin WangYunhui Shi  Dehui KongWenpeng Ding  Chunjing Li  Baocai Yin
Institution:
  • a Beijing Key Laboratory of Multimedia and Intelligent Software Technology, College of Computer Science and Technology, Beijing University of Technology, Beijing 100124, China
  • b Department of Mathematics, Tongji University, Shanghai 200092, China
  • Abstract:In this paper, we give an analytical model of the compression error of down-sampled compression based on wavelet transform, which explains why down-sampling before compression can improve coding performance. And we approximate the missing details due to down-sampling and compression by using the linear combination of a set of basis vectors with L1 norm. Then we propose a down-sampled and high frequency information approximated coding scheme and apply it to natural images, and achieve gains of both subjective quality and objective quality compared with JPEG2000.
    Keywords:Wavelet  Error analysis  Sparse representation  Optimization
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