Edge-preserving smoothing using a similarity measure in adaptive geodesic neighbourhoods

Pattern Recognition

Volumn 42, Issue 10, 2009, Pages 2306-2316

  Grazzini, Jacopo ^a   Soille, Pierre ^a  

^a JOINT RESEARCH CENTRE   (Italy)

Author keywords

Adaptive neighbourhood; Edge preserving smoothing mathematical morphology; Geodesic mask; Geodesic time; Local pairwise similarity; Multichannel image; Spatial tonal filtering

Indexed keywords

ADAPTIVE NEIGHBOURHOOD; EDGE-PRESERVING SMOOTHING MATHEMATICAL MORPHOLOGY; GEODESIC MASK; GEODESIC TIME; LOCAL PAIRWISE SIMILARITY; MULTICHANNEL IMAGE; SPATIAL-TONAL FILTERING;

ADAPTIVE ALGORITHMS; ADAPTIVE FILTERING; ADAPTIVE FILTERS; GEODESY; MATHEMATICAL MORPHOLOGY; MATHEMATICAL OPERATORS; MORPHOLOGY; PIXELS;

EDGE DETECTION;

EID: 67349089005     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2008.11.004     Document Type: Article

References (44)

1. Jähne B. Digital Image Processing: Concepts, Algorithms and Scientific Applications. fourth ed. (1997), Springer, Berlin
2. Pitas I., and Venetsanopoulos A. Nonlinear Digital Filters: Principles and Applications (1999), Kluwer Academic Publishers, Norwell, USA
3. Saint-Marc P., Chen J.-S., and Medioni G. Adaptive smoothing: a general tool for early vision. IEEE Transactions on Pattern Analysis and Machine Intelligence 13 6 (1991) 514-529
4. Mrázek P., Weickert J.J., and Bruhn A. On robust estimation and smoothing with spatial and tonal kernels. In: Klette R., Kozera R., Noakes L., and Weickert J. (Eds). Geometric Properties from Incomplete Data (2006), Springer, Dordrecht, The Netherlands 335-352
5. Tomasi C., and Manduchi R. Bilateral filtering for gray and color images. Proceedings of ICCV (1998) 839-846
6. Winkler G., Aurich V., Hahn K., and Martin A. Noise reduction in images: some recent edge-preserving methods. Pattern Recognition and Image Analysis 9 4 (1999) 749-766
7. Barash D. A fundamental relationship between bilateral filtering, adaptive smoothing and the non-linear diffusion equation. IEEE Transactions on Pattern Analysis and Machine Intelligence 24 6 (2002) 844-847
8. Buades A., Coll B., and Morel J.-M. Neighborhood filters and PDE's. Numerische Mathematik 105 1 (2006) 1-34
9. Chu C., Glad I., Godtliebsen F., and Marron J. Edge-preserving smoothers for image processing. Journal of the American Statistical Association 93 442 (1998) 526-556
10. Buades A., Coll B., and Morel J. A review of image denoising algorithms, with a new one. Multiscale Modeling & Simulation 4 2 (2005) 490-530
11. Nitzberg M., and Shiota T. Nonlinear image filtering with edge and corner enhancement. IEEE Transactions on Pattern Analysis and Machine Intelligence 14 8 (1992) 826-833
12. Paranjape R., Rangayyan R., and Morrow W. Adaptive neighborhood mean and median image filtering. Journal of Electronic Imaging 3 (1994) 360-367
13. Debayle J., and Pinoli J. General adaptive neighborhood image processing. Parts I and II. Journal of Mathematical Image Vision 25 2 (2006) 245-284
14. Wang D., Vagnucci A., and Li C. Gradient inverse weighted smoothing scheme and the evaluation of its performance. Computer Vision, Graphics and Image Processing 15 (1981) 167-181
15. Nagao M., and Matsuyama T. Edge preserving smoothing. Computer Graphics and Image Processing 9 (1979) 394-407
16. Lee J. Digital image smoothing and the sigma filter. Computer Vision, Graphics and Image Processing 24 (1983) 255-269
17. Yang G., Burger P., Firmin D., and Underwood S. Structure adaptive anisotropic image filtering. Image and Vision Computing 14 (1996) 135-145
18. Spira A., Kimmel R., and Sochen N. A short time Beltrami kernel for smoothing images and manifolds. IEEE Transactions on Image Processing 16 6 (2007) 1628-1636
19. R. van den Boomgaard, J. van de Weijer, On the equivalence of local-mode finding robust estimation and mean-shift analysis as used in early vision tasks, in: Proceedings of ICPR, vol. 3, 2002, pp. 927-930.
20. Barash D., and Comaniciu D. A common framework for nonlinear diffusion, adaptive smoothing, bilateral filtering and mean shift. Image and Vision Computing 22 1 (2004) 73-81
21. 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
22. Lantuéjoul C., and Maisonneuve F. Geodesic methods in image analysis. Pattern Recognition 17 (1984) 177-187
23. Verwer B., Verbeek P., and Dekker S. An efficient uniform cost algorithm applied to distance transforms. IEEE Transactions on Pattern Analysis and Machine Intelligence 11 4 (1989) 425-429
24. Coeurjolly D., Miguet D., and Tougne L. 2D and 3D visibility in discrete geometry: an application to discrete geodesic paths. Pattern Recognition Letters 25 5 (2004) 561-570
25. Soille P. Generalized geodesy via geodesic time. Pattern Recognition Letters 15 12 (1994) 1235-1240
26. Ikonen L. Priority pixel queue algorithm for geodesic distance transforms. Image and Vision Computing 25 (2007) 1520-1529
27. Borgefors G. Distance transformations in digital images. Computer Vision, Graphics and Image Processing 34 (1986) 344-371
28. Sethian J. A fast marching level set method for monotonically advancing fronts. Proceedings of National Academy of Science 93 4 (1996) 1591-1595
29. Levi G., and Montanari U. A grey-weighted skeleton. Information and Control 17 (1970) 62-91
30. Ikonen L., and Toivanen P. Distance and nearest neighbor transforms on gray-level surfaces. Pattern Recognition Letters 28 5 (2007) 604-612
31. Cheng F., and Venetsanopoulos A. Adaptive morphological operators, fast algorithms and their applications. Pattern Recognition 33 (2000) 917-933
32. Lerallut R., Decencière E., and Meyer F. Image filtering using morphological amoebas. Image and Vision Computing 25 4 (2007) 395-404
33. Cohen L., and Kimmel R. Global minimum for active contour models: a minimal path approach. International Journal of Computer Vision 24 (1997) 57-78
34. P. Soille, J. Grazzini, Advances in constrained connectivity, in: Proceedings of DGCI, in: Lecture Notes in Computer Science, vol. 4992, Springer, Berlin, 2008, pp. 423-433.
35. Durand F., and Dorsey J. Fast bilateral filtering for the display of high-dynamic range images. ACM Transactions on Graphics 21 3 (2002) 257-266
36. Plataniotis K., and Venetsanopoulos A. Color Image Processing and Applications (2000), Springer, Berlin, Germany
37. Scheunders P. A multivalued image wavelet representation based on multiscale fundamental forms. IEEE Transactions on Image Processing 11 5 (2002) 568-575
38. Weickert J. Anisotropic Diffusion in Image Processing (1998), Teubner, Stuttgart, Germany
39. Bertelli L., and Manjunath B. Edge preserving filters using geodesic distances on weighted orthogonal domains. Proceedings of IEEE ICIP (2007) 321-324
40. Sapiro G., and Ringach D. Anisotropic diffusion of multivalued images with applications to color filtering. IEEE Transactions on Image Processing 53 11 (1996) 1582-1586
41. Sun T., and Neuvo Y. Detail-preserving median based filters in image processing. Pattern Recognition Letters 15 4 (1994) 341-347
42. Soille P. Beyond self-duality in morphological image analysis. Image and Vision Computing 23 (2005) 249-257
43. Avcibas I., Sankur B., and Sayood K. Statistical evaluation of image quality measures. Journal of Electronic Imaging 11 2 (2002) 206-223
44. G. Gomez, Local smoothness in terms of variance, in: Proceedings of BMVC, vol. 2, 2000, pp. 815-824.