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Article Navigation >  Journal of University of Electronic Science and Technology of China  > 2011  >  40(5): 772-776

CHEN Qing-li, PU Yi-fei, HUANG Guo, ZHOU Ji-liu. 0~1 Order Riemann-Liouville Fractional Differential Enhancing Mask of Digital Image[J]. Journal of University of Electronic Science and Technology of China, 2011, 40(5): 772-776. doi: 10.3969/j.issn.1001-0548.2011.05.026
Citation: CHEN Qing-li, PU Yi-fei, HUANG Guo, ZHOU Ji-liu. 0~1 Order Riemann-Liouville Fractional Differential Enhancing Mask of Digital Image[J]. Journal of University of Electronic Science and Technology of China, 2011, 40(5): 772-776. doi: 10.3969/j.issn.1001-0548.2011.05.026
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0~1 Order Riemann-Liouville Fractional Differential Enhancing Mask of Digital Image

doi: 10.3969/j.issn.1001-0548.2011.05.026
  • 1.

    School of Computer,Sichuan University Chengdu 610065;

  • 2.

    School of Computer Science,Leshan Normal University Leshan Sichuan 614004

  • Received Date: 2010-06-13
  • Rev Recd Date: 2010-11-02
  • Publish Date: 2011-10-15
  • An image enhancement algorithm based on 0~1 order Riemann-Liouville fractional differential is presented in this paper. The Riemann-Liouville differential equation and its discretization form are deduced from the Riemann-Liouville definition. According to the discretization equation, the structures and parameters of eight fractional differential masks are constructed respectively. The numerical implementation algorithms of the eight differential masks are discussed too. Finally, the relationships between the entropies of enhanced images with the orders are discussed, then, the most optimal order is obtained. The computer experiments show that the algorithm has excellent feedback for nonlinearly enhancing the textural details of the digital image and it can obviously enhance texture details and edges, the enhanced images have markedly visual effect enhance capabilities of the Gaussian smoothed images are also obvious too.
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0~1 Order Riemann-Liouville Fractional Differential Enhancing Mask of Digital Image

doi: 10.3969/j.issn.1001-0548.2011.05.026
  • 1. School of Computer,Sichuan University Chengdu 610065;
  • 2. School of Computer Science,Leshan Normal University Leshan Sichuan 614004
  • Received Date: 2010-06-13
  • Rev Recd Date: 2010-11-02
  • Publish Date: 2011-10-15

Abstract: An image enhancement algorithm based on 0~1 order Riemann-Liouville fractional differential is presented in this paper. The Riemann-Liouville differential equation and its discretization form are deduced from the Riemann-Liouville definition. According to the discretization equation, the structures and parameters of eight fractional differential masks are constructed respectively. The numerical implementation algorithms of the eight differential masks are discussed too. Finally, the relationships between the entropies of enhanced images with the orders are discussed, then, the most optimal order is obtained. The computer experiments show that the algorithm has excellent feedback for nonlinearly enhancing the textural details of the digital image and it can obviously enhance texture details and edges, the enhanced images have markedly visual effect enhance capabilities of the Gaussian smoothed images are also obvious too.

CHEN Qing-li, PU Yi-fei, HUANG Guo, ZHOU Ji-liu. 0~1 Order Riemann-Liouville Fractional Differential Enhancing Mask of Digital Image[J]. Journal of University of Electronic Science and Technology of China, 2011, 40(5): 772-776. doi: 10.3969/j.issn.1001-0548.2011.05.026
Citation: CHEN Qing-li, PU Yi-fei, HUANG Guo, ZHOU Ji-liu. 0~1 Order Riemann-Liouville Fractional Differential Enhancing Mask of Digital Image[J]. Journal of University of Electronic Science and Technology of China, 2011, 40(5): 772-776. doi: 10.3969/j.issn.1001-0548.2011.05.026
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