Median filtering of tensor-valued images

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2781, Issue , 2003, Pages 17-24

  Welk, Martin ^a   Feddern, Christian ^a   Burgeth, Bernhard ^a   Weickert, Joachim ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION TENSOR IMAGING; IMAGING TECHNIQUES; MAGNETIC RESONANCE IMAGING; PATTERN RECOGNITION; TENSORS;

DIFFUSION TENSOR MAGNETIC RESONANCE IMAGING; EDGE PRESERVING; MATRIX-VALUED; MEDIAN FILTERING; REAL-WORLD IMAGE; TENSOR VALUED IMAGES;

MEDIAN FILTERS;

EID: 35248878185     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-45243-0_3     Document Type: Article

References (20)

1. J. Astola, P. Haavisto, and Y. Neuvo. Vector median filters. Proceedings of the IEEE, 78(4):678-689, 1990.
2. T. L. Austin, Jr. An approximation to the point of minimum aggregate distance. Metron, 19:10-21, 1959.
3. V. Barnett. The ordering of multivariate data. Journal of the Royal Statistical Society A, 139(3):318-355, 1976.
4. T. Brox and J. Weickert. Nonlinear matrix diffusion for optic flow estimation. In L. Van Gool, editor, Pattern Recognition, volume 2449 of Lecture Notes in Computer Science, pages 446-453. Springer, Berlin, 2002.
5. Y. Chou. Statistical Analysis. Holt, Reinehart and Winston, London, 1969.
6. O. Coulon, D. C. Alexander, and S. A. Arridge. A regularization scheme for diffusion tensor magnetic resonance images. In M. F. Insana and R. M. Leahy, editors, Information Processing in Medical Imaging - IPMI S2001, volume 2082 of Lecture Notes in Computer Science, pages 92-105. Springer, Berlin, 2001.
7. E. R. Dougherty and J. Astola, editors. Nonlinear Filters for Image Processing. SPIE Press, Bellingham, 1999.
8. W. Förstner and E. Gülch. A fast operator for detection and precise location of distinct points, corners and centres of circular features. In Proc. ISPRS Intercommission Conference on Fast Processing of Photogrammetric Data, pages 281-305, Interlaken, Switzerland, June 1987.
9. G. H. Granlund and H. Knutsson. Signal Processing for Computer Vision. Kluwer, Dordrecht, 1995.
10. K. Hahn, S. Pigarin, and B. Pütz. Edge preserving regularization and tracking for diffusion tensor imaging. In W. J. Niessen and M. A. Viergever, editors, Medical Image Computing and Computer-Assisted Intervention - MICCAI 2001, volume 2208 of Lecture Notes in Computer Science, pages 195-203. Springer, Berlin, 2001.
11. J. Hartung. Statistik. R. Oldenbourg Verlag, München, 4 edition, 1985.
12. R. Klette and P. Zamperoni. Handbook of Image Processing Operators. Wiley, New York, 1996.
13. A. Koschan and M. Abidi. A comparison of median filter techniques for noise removal in color images. In Proc. Seventh German Workshop on Color Image Processing, pages 69-79, Erlangen, Germany, Oct. 2001.
14. G. J. M. Parker, J. A. Schnabel, M. R. Symms, D. J. Werring, and G. J. Barker. Nonlinear smoothing for reduction of systematic and random errors in diffusion tensor imaging. Journal of Magnetic Resonance Imaging, 11:702-710, 2000.
15. C. Pierpaoli, P. Jezzard, P. J. Basser, A. Barnett, and G. Di Chiro. Diffusion tensor MR imaging of the human brain. Radiology, 201(3):637-648, Dec. 1996.
16. C. Poupon, J. Mangin, V. Frouin, J. Régis, F. Poupon, M. Pachot-Clouard, D. Le Bihan, and I. Bloch. Regularization of MR diffusion tensor maps for tracking brain white matter bundles. In W. M. Wells, A. Colchester, and S. Delp, editors, Medical Image Computing and Computer-Assisted Intervention - MICCAI 1998, volume 1496 of Lecture Notes in Computer Science, pages 489-498. Springer, Berlin, 1998.
17. D. Tschumperlé and R. Deriche. Diffusion tensor regularization with contraints preservation. In Proc. 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, volume 1, pages 948-953, Kauai, HI, Dec. 2001. IEEE Computer Society Press.
18. J. W. Tukey. Exploratory Data Analysis. Addison-Wesley, Menlo Park, 1971.
19. J. Weickert and T. Brox. Diffusion and regularization of vector- and matrix-valued images. In M. Z. Hashed and O. Scherzer, editors, Inverse Problems, Image Analysis, and Medical Imaging, volume 313 of Contemporary Mathematics, pages 251-268. AMS, Providence, 2002.
20. C. Westin, S. E. Maier, B. Khidhir, P. Everett, F. A. Jolesz, and R. Kikinis. Image processing for diffusion tensor magnetic resonance imaging. In C. Taylor and A. Colchester, editors, Medical Image Computing and Computer-Assisted Intervention - MICCAI 1999, volume 1679 of Lecture Notes in Computer Science, pages 441-452. Springer, Berlin, 1999.