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Improved structure-adaptive anisotropic filter based on a nonlinear structure tensor Cover

Improved structure-adaptive anisotropic filter based on a nonlinear structure tensor

Cybernetics and Information Technologies
Volume 14 (2014): Issue 1 (March 2014)
By: ,   and    
Open Access
|Apr 2014
References

References

  1. 1. Lim, J. S. Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ, Prentice Hall, 1990.
    Search in Google Scholar
  2. 2. Elad, M., M. A. T. Figueiredo, Y. Ma. On the Role of Sparse and Redundant Representations in Image Processing. - In: Proceedings of the IEEE, Vol. 98, 2010, 972-982.
    Open DOISearch in Google Scholar
  3. 3. Perona, P., J. Mali k. Scale-Space and Edge Detection Using Anisotropic Diffusion. - IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 12, 1990, 629-639.
    Open DOISearch in Google Scholar
  4. 4. Weickert, J. Anisotropic Diffusion in Image Processing.- Stuttgart, Teubner-Verlag, 1998.
    Search in Google Scholar
  5. 5. Tschumperle, D., R. Derich e. Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications. - IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 27, 2005, 506-517.
    Open DOISearch in Google Scholar
  6. 6. Yang, G. Z., P. Burger, D. N. Firmin, S. R. Underwoo d. Structure Adaptive Anisotropic Image Filtering. - Image and Vision Computing, Vol. 14, 1996, 135-145.
    Open DOISearch in Google Scholar
  7. 7. Greenberg, S., D. Koga n. Improved Structure-Adaptive Anisotropic Filter. - Pattern Recognition Letters, Vol. 27, 2006, 59-65.
    Open DOISearch in Google Scholar
  8. 8. Starck, J. L., E. J. Candes, D. L. Donoho. The Curvelet Transform for Image Denoising. - IEEE Trans. on Image Processing, Vol. 11, 2002, 670-684.
    Open DOISearch in Google Scholar
  9. 9. Do, M. N., M. Vetterli. The Contourlet Transform: An Efficient Directional Multiresolution Image Representation. - IEEE Trans. on Image Processing, Vol. 14, 2005, 2091-2106.
    Open DOISearch in Google Scholar
  10. 10. Easley, G., D. Labate, W. Q. Li m. Sparse Directional Image Representations Using the Discrete Shearlet Transform. - Applied and Computational Harmonic Analysis, Vol. 25, 2008, 25-46.
    Open DOISearch in Google Scholar
  11. 11. Li m, W. Q. The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames. - IEEE Trans. on Image Processing, Vol. 19, 2010, 1166-1180.
    Open DOISearch in Google Scholar
  12. 12. Gerig, G., O. Kübler, R. Kikinis, F. A. Jolesz. Nonlinear Anisotropic Filtering on MRI Data. - IEEE Trans. on Medical Imaging, Vol. 11, 1992, 221-232.
    Open DOISearch in Google Scholar
  13. 13. Weeratunga, S. K., C. Kamath. A Comparision of PDE-Based Nonlinear Anisotropic Diffusion Techniques for Image Denoising. - In: Proc. SPIE Electronic Imaging, Image Processing: Algorithms and Systems II, Vol. 5014, 2003, 201-212.
    Search in Google Scholar
  14. 14. Weickert, J. A Review of Nonlinear Diffusion Filtering. - Lecture Notes in Computer Science, Vol. 972, Berlin, Springer, 1997, 3-28.
    Open DOISearch in Google Scholar
  15. 15. Mrázek, P., M. Navara. Selection of Optimal Stopping Time for Nonlinear Diffusion Filtering. - International Journal of Computer Vision, Vol. 52, 2003, 189-203.
    Open DOISearch in Google Scholar
  16. 16. Donahue, M. J., I. Rokhli n. On the Use of Level Curves in Image Analysis. - Image Understanding, Vol. 57, 1993, 185-203.
    Open DOISearch in Google Scholar
  17. 17. Bigun, J., G. H. Granlund, J. Wiklun d. Multidimensional Orientation Estimation With Applications to Texture Analysis and Optical Flow. - IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 13, 1991, 775-790.
    Open DOISearch in Google Scholar
  18. 18. Brox, T., R.vanden Bo omgaard, F. Lauze, J.vande Weijer, J. Weickert, P.
    Search in Google Scholar
  19. Mrázek, P. Kornprobst. Adaptive Structure Tensors and Their Applications. - Visualization and Processing of Tensor Fields. Berlin, Germany, Springer-Verlag, 2005, 17-47.
    Open DOISearch in Google Scholar
  20. 19. Castano-Moraga, C. A., J. Ruiz-Alzola. Anisotropic Filtering with Nonlinear Structure Tensors. - In: Proc. SPIE Real-Time Image Processing, Vol. 6064, 2006, 215-223.
    Search in Google Scholar
  21. 20. Dore, V., R. F. Moghaddam, M. Cherie t. Non-Local Adaptive Structure Tensors.
    Search in Google Scholar
  22. Application to Anisotropic Diffusion and Shock Filtering. - Image and Vision Computing, Vol. 29, 2011, 730-743.
    Open DOISearch in Google Scholar
  23. 21. Zhang, L., L. Zhan g, D. Zhan g. A Multi-Scale Bilateral Structure Tensor Based Corner Detector. - Lecture Notes in Computer Science, Vol. 5995, 2010, 618-627.
    Search in Google Scholar
  24. 22. Han, S., W. Tao, D. Wang, X. C. Tai, X. Wu. Image Segmentation Based on Grab Cut Framework Integrating Multi-Scale Nonlinear Structure Tensor. - IEEE Trans. on Image Processing, Vol. 18, 2009, 2289-2302.
    Open DOISearch in Google Scholar
  25. 23. Hahn, J., C. O. Lee. A Nonlinear Structure Tensor with the Diffusivity Matrix Composed of the Image Gradient. - Journal of Mathematical Imaging and Vision, Vol. 34, 2009, 137-151.
    Open DOISearch in Google Scholar
  26. 24. Brox, T., J. Weickert, B. Burgeth, P. Mrázek. Nonlinear Structure Tensors. - Image and Vision Computing, Vol. 24, 2006, 41-55.
    Open DOISearch in Google Scholar
  27. 25. Fernánde z, J. J., S. Li. An Improved Algorithm for Anisotropic Nonlinear Diffusion for Denoising Cryo-Tomograms. - Journal of Structural Biology, Vol. 144, 2003, 152-161.
    Open DOISearch in Google Scholar
  28. 26. Vanden Boomgaard, R. Algorithms for Nonlinear Diffusion Matlab ina Literate Programming Style. 2001. http://staff.science.uva.nl/~rein/nldiffusionweb/material.html.
    Search in Google Scholar
DOI: https://doi.org/10.2478/cait-2014-0009 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702 (formerly 1314-4081)
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Language: English
Page range: 112 - 127
Published on: Apr 9, 2014
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Keywords:
Structure-adaptive anisotropic filter,
non-linear structure tensor,
image denoising,
orientation estimation
Related subjects:
Computer sciences,
Information technology

© 2014 Jie Wu, Zuren Feng, Zhigang Ren, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 14 (2014): Issue 1 (March 2014)
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