Open Access

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


Cite

1. Lim, J. S. Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ, Prentice Hall, 1990.Search in Google Scholar

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, 972-982.10.1109/JPROC.2009.2037655Search in Google Scholar

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, 629-639.10.1109/34.56205Search in Google Scholar

4. Weickert, J. Anisotropic Diffusion in Image Processing.- Stuttgart, Teubner-Verlag, 1998.Search in Google Scholar

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, 506-517.10.1109/TPAMI.2005.87Search in Google Scholar

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, 135-145.10.1016/0262-8856(95)01047-5Search in Google Scholar

7. Greenberg, S., D. Koga n. Improved Structure-Adaptive Anisotropic Filter. - Pattern Recognition Letters, Vol. 27, 2006, 59-65.10.1016/j.patrec.2005.07.001Search in Google Scholar

8. Starck, J. L., E. J. Candes, D. L. Donoho. The Curvelet Transform for Image Denoising. - IEEE Trans. on Image Processing, Vol. 11, 2002, 670-684.10.1109/TIP.2002.101499818244665Search in Google Scholar

9. Do, M. N., M. Vetterli. The Contourlet Transform: An Efficient Directional Multiresolution Image Representation. - IEEE Trans. on Image Processing, Vol. 14, 2005, 2091-2106.10.1109/TIP.2005.85937616370462Search in Google Scholar

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, 25-46.10.1016/j.acha.2007.09.003Search in Google Scholar

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, 1166-1180.10.1109/TIP.2010.204141020106737Search in Google Scholar

12. Gerig, G., O. Kübler, R. Kikinis, F. A. Jolesz. Nonlinear Anisotropic Filtering on MRI Data. - IEEE Trans. on Medical Imaging, Vol. 11, 1992, 221-232.10.1109/42.14164618218376Search in Google Scholar

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. Weickert, J. A Review of Nonlinear Diffusion Filtering. - Lecture Notes in Computer Science, Vol. 972, Berlin, Springer, 1997, 3-28.10.1007/3-540-63167-4_37Search in Google Scholar

15. Mrázek, P., M. Navara. Selection of Optimal Stopping Time for Nonlinear Diffusion Filtering. - International Journal of Computer Vision, Vol. 52, 2003, 189-203.10.1023/A:1022908225256Search in Google Scholar

16. Donahue, M. J., I. Rokhli n. On the Use of Level Curves in Image Analysis. - Image Understanding, Vol. 57, 1993, 185-203.10.1006/ciun.1993.1012Search in Google Scholar

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, 775-790.10.1109/34.85668Search in Google Scholar

18. Brox, T., R.vanden Bo omgaard, F. Lauze, J.vande Weijer, J. Weickert, P.Search in Google Scholar

Mrázek, P. Kornprobst. Adaptive Structure Tensors and Their Applications. - Visualization and Processing of Tensor Fields. Berlin, Germany, Springer-Verlag, 2005, 17-47.10.1007/3-540-31272-2_2Search in Google Scholar

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

20. Dore, V., R. F. Moghaddam, M. Cherie t. Non-Local Adaptive Structure Tensors.Search in Google Scholar

Application to Anisotropic Diffusion and Shock Filtering. - Image and Vision Computing, Vol. 29, 2011, 730-743.10.1016/j.imavis.2011.07.007Search in Google Scholar

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

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, 2289-2302.10.1109/TIP.2009.202556019535321Search in Google Scholar

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, 137-151.10.1007/s10851-009-0138-1Search in Google Scholar

24. Brox, T., J. Weickert, B. Burgeth, P. Mrázek. Nonlinear Structure Tensors. - Image and Vision Computing, Vol. 24, 2006, 41-55.10.1016/j.imavis.2005.09.010Search in Google Scholar

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, 152-161.10.1016/j.jsb.2003.09.01014643218Search in Google Scholar

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

eISSN:
1314-4081
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Information Technology