Advanced search
Publication Cover
Journal of Discrete Mathematical Sciences and Cryptography Volume 20, 2017 - Issue 1: Mathematical Models for Supply Chain Management: Concepts and Cases
Journal homepage
37
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Image zooming model based on fractional-order partial differential equation

Ran GaoCollege of Science, Zhongyuan University of Technology, Zhengzhou, 450007, ChinaCorrespondence[email protected]
,
Cong GuCollege of Science, Zhongyuan University of Technology, Zhengzhou, 450007, China
&
Xiao LiCollege of Science, Zhongyuan University of Technology, Zhengzhou, 450007, China
Pages 55-63 | Received 01 Oct 2015, Published online: 27 Dec 2016

References

  • S.J. Fu, Q.Q. Yuan, W.Q. Wang. Applications of PDEs model in image analysis and processing: a survey. Computer Engineering and Applications, 2 (2005) 33–35.
  • D. Zhang, G. Chen. Image processing based on PDEs. Higher Education Press, Beijing, 2004.
  • Y.M. Chen, B.C. Vemuri, L. Wang. Image denoising and segmentation via nonlinear diffusion. Computers and Mathematics with Applications, 39 (2000) 131–149.
  • J.Weickert. Coherence-enhancing diffusion filtering. Intemational Joumal of Computer Vision, 31 (1999) 111–127. doi: 10.1023/A:1008009714131
  • Q.Q. Yuan, Y.Y. Wu. Partial differential equation method on digital image processing. Signal Processing, 28 (2012) 301–314.
  • H. Kim, Y.Cha, S. Kim. Curcature interpolation method for image zooming. IEEE Transactions on Image Processing, 20 (2011) 1895–1903. doi: 10.1109/TIP.2010.2076377
  • N. Zhu, J. Wu, Z.Q. Wang. Image zooming based on partial differential equations. Journal of Computer-aided Design & Computer Graphics, 17 (2005) 1941–1945.
  • L. Rudin, S. Osher, E. Fatemi. Nonlinear total variation based on noise removal algorithms, Physica D, 60 (1992) 259–268. doi: 10.1016/0167-2789(92)90242-F
  • M. Lysaker, A. lundervold, X.C. Tai. Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance image in space and time, IEEE Transactions on Image Processing, 12 (2003) 1579–1590. doi: 10.1109/TIP.2003.819229
  • R.Gao, J.P.Song, X.C.Tai. Image zooming algorithm based on partial differential equations technique. International journal of Numerical Analysis and Modeling, 6 (2009) 5–18.
  • Y.F.Pu, W.X.Wang. Fractional differential masks of digital image and their numerical implementation algorithms. Acta Automatica Sinica, 33 (2007) 1128–1135.
  • Z.Z. Yang, J.L. Zhou, M. Huang, X.Y. Yan. Edge detection based on fractional differential. Journal of Sichuan University (Engneer Ng Science Edition), 40 (2008) 152–156.
  • B.G. Ai, Y.N. Luo, T. Jiang, X.G. Zhang. Applications of fractional-order differential gradient operator in image enhancement. Journal of Sichuan University (Natural Science Edition), 46 (2009) 343–347.
  • I. Podlubny. Fractional differential equations. Academic Press, New York, 1998.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.