Seismic fault preserving diffusion

Journal of Applied Geophysics

Volumn 61, Issue 2, 2007, Pages 132-141

  Lavialle, Olivier ^a,b   Pop, Sorin ^a   Germain, Christian ^a,b   Donias, Marc ^a   Guillon, Sebastien ^c   Keskes, Naamen ^c   Berthoumieu, Yannick ^a  

^a LASIS   (France)

^b ENITA de Bordeaux   (France)

^c CSTJF   (France)

Author keywords

3 D filtering; Anisotropic diffusion; Confidence measure; Seismic data; Structure tensor

Indexed keywords

ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; IMAGING TECHNIQUES; PARTIAL DIFFERENTIAL EQUATIONS; TENSORS;

ANISOTROPIC DIFFUSION; SEISMIC DATA; SEISMIC FAULT PRESERVING DIFFUSION; SEISMIC FAULTS; STRUCTURE TENSOR;

SEISMOLOGY;

DISCONTINUITY; EIGENVALUE; FAULT; MOMENT TENSOR; NUMERICAL METHOD; SEISMIC ANISOTROPY; SEISMIC DATA; SIGNAL-TO-NOISE RATIO;

EID: 33845865337     PISSN: 09269851     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappgeo.2006.06.002     Document Type: Article

References (31)

1. Admasu F., and Toennies K. Automatic method for correlating horizons across faults in 3-D seismic data. Proceedings of IEEE Conf. on Comp. Vision and Pattern Rec., Washington DC. (2004)
2. Bakker P., Van Vliet L.J., and Verbeek P.W. Edge preserving orientation adaptive filtering. Proceedings of IEEE-CS Conf. Computer Vision and Pattern Recognition (Fort Collins, CO) (1999), IEEE Computer Society Press, Los Alamitos, CA 535-540
3. Bakker P., Verbeek P.W., and Van Vliet L.J. Confidence and curvature estimation of curvilinear structures in 3-d. Proceedings of the Eighth International Conference On Computer Vision, Vancuver, Canada vol. II (2001) 139-144
4. Berthoumieu Y., Donias M., David C., Guillon S., and Keskes N. Geometrical model based method for fault detection. Proceedings of the 2nd International Symposium on Communications, Control and Signal Processing (2006), Marrakech, Morocco
5. Bigün J., Granlund G.H., and Viklund J. Multidimensional orientation: texture analysis and optical flow. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI 13 8 (1991)
6. Catte F., Lions P.L., Morel J.M., and Coll T. Image selective smoothing and edge detection by nonlinear diffusion. SIAM Journal on Numerical Analysis 29 1 (1992) 182-193
7. Dargent R., Terebes R., Lavialle O., and Baylou P. 3D tangential diffusion. Proceedings of the 12th European Signal Processing Conference, Vienna, Austria (2004)
8. Dargent R., Lavialle O., Guillon S., and Baylou P. Sector-based diffusion filter. Proceedings of the IEEE International Conference on Pattern Recognition, Cambridge,UK (2004) 679-682
9. Dosil R., and Prado X.M. Generalized ellipsoids and anisotropic filtering for segmentation improvement in 3D medical imaging. Image and Vision Computing 21 (2003) 325-343
10. Freeman W.T., and Adelson E.H. The design and use of steerable filters. IEEE Transactions on Pattern Analysis and Machine Intelligence 13 9 (1991) 891-906
11. Gauthier J., Duval L., and Pesquet J. A non-separable 2D complex modulated lapped transform and its applications to seismic data filtering. Proceedings of the 13th European Signal and Image Processing Conference, Antalya, Turkey (2005)
12. Gerig G., Kübler O., Kikinis R., and Jolesz F.A. Nonlinear anisotropic filtering of MRI data. IEEE Transactions on Medical Imaging 11 2 (1992) 221-232
13. Granlund G.H., and Knutsson H. Signal Processing for Computer Vision (1995), Kluwer Academic Publishers, Dordrecht 437 pp.
14. Koenderink J. The structure of images. Biological Cybernetics 50 (1984) 363-370
15. Krissian, K., Malandain, G., Ayache, N., 1995. Directional anisotropic diffusion applied to segmentation of vessels in 3D images, report no. 3064, INRIA, Sophia_Antipolis, France. 51 pp.
16. Martens J.B. Local orientation analysis in images by means of the Hermite transform. IEEE Transactions on Image Processing 6 8 (1997) 1103-1116
17. Monteil J., and Beghdadi A. A new interpretation and improvement of the nonlinear anisotropic diffusion for image enhancement. IEEE Transactions on Pattern Analysis and Machine Intelligence 21 9 (1999) 940-946
18. Perona P., and Malik J. Scale space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12 7 (1990) 629-639
19. Randen T., Pedersen S.I., and Sønneland L. Automatic detection and extraction of faults from three-dimensional seismic data. Proceedings of Norwegian Signal Processing Symposium (2001) 5 pp.
20. Rao A.R. A Taxonomy for Texture Description and Identification (1990), Springer Verlag, New York
21. Sønneland L., Randen T., Kvia P., Saeter T., Schlaf J., Iversen T., Hetlelid A., Østebø M., and Pedersen S.I. Automated 3D geometry and property mapping on seismic data. Proceedings of FORCE Seminar on 3D Volume Interpretation and Visualization, Stavanger, Norway (2000)
22. Terebes R., Lavialle O., Baylou P., and Borda M. Mixed anisotropic diffusion. Proceedings of IEEE International Conference on Pattern Recognition, Quebec, Canada vol. 3 (2002) 760-764
23. Terebes R., Borda M., Lavialle O., Baylou P., Pop S., and Adam T. Linear flow coherence diffusion. International Carpathian Control Conference, Miskolc-Lillafüred, Hungary (2005)
24. Terebes R., Lavialle O., Borda M., and Baylou P. Flow coherence diffusion. Linear and nonlinear case. Lecture Notes in Computer Science 3708 (2005) 316-323
25. Van Ginkel M., Verbeek P.W., and Van Vliet L.J. Improved orientation selectivity for orientation estimation. Proceedings of the 10th Scandinavian Conference on Image Analysis, Lappeenranta, Finland vol. I (1997) 533-537
26. Van Kempen G.M.P., Van den Brink N., Van Vliet L.J., Van Ginkel M., Verbeek P.W., and Blonk H. The application of a local dimensionality estimator to the analysis of 3D microscopic network structures. Proceedings of the 11th Scandinavian Conference on Image Analysis, Kangerlussuaq, Greenland (1999) 447-455
27. Weickert J. Scale-space properties of nonlinear diffusion filtering with a diffusion tensor. Report vol. 110 (1994), Laboratory of Technomathematics, University of Kaiserslautern
28. Weickert J. Multiscale texture enhancement. In: Hlavac V., and Sara R. (Eds). Computer Analysis of Images and Patterns (1995), Springer, Berlin 230-237
29. Weickert J. A review of nonlinear diffusion filtering. In: Romeny B., et al. (Ed). Theory in Computer Vision vol. 1252 (1997), Springer, Berlin 3-28
30. Weickert J. Coherence enhancing diffusion filtering. International Journal of Computer Vision 31 (1999) 111-127
31. Whitaker R., and Pizer S.M. A multi-scale approach to non-uniform diffusion. Graphical Model and Image Processing: Image Understanding 57 (1993) 111-120