Analytical approximations for nonlinear diffusion time in multiscale edge enhancement

VISAPP 2009 - Proceedings of the 4th International Conference on Computer Vision Theory and Applications

Volumn 1, Issue , 2009, Pages 78-81

  Platero, C ^a   Sanguino, J ^a   Tobar, M C ^a   Poncela, J M ^a   Asensio, G ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Multiscale edge enhancement; Nonlinear diffusion filter; Segmentation

Indexed keywords

ANALYTICAL APPROXIMATION; ANALYTICAL EXPRESSIONS; AUTOMATIC SEGMENTATIONS; AUTOTUNING; CONTROL PARAMETERS; EDGE ENHANCEMENTS; IMAGE SIMPLIFICATION; MULTISCALE EDGE; MULTISCALE EDGE ENHANCEMENT; NOISE ELIMINATION; NONLINEAR DIFFUSION; NONLINEAR DIFFUSION FILTER; PROCESSING TECHNIQUE; SEGMENTATION;

COMPUTER VISION; CONTROL SYSTEM ANALYSIS; TUNING;

DIFFUSION;

EID: 70349664491     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Andreu, R., Caselles, V., Daz, J., and Mazn, J. (2002). Some qualitative properties for the total variation flow. Journal of Functional A nalysis, 188:516-547.
2. Buades, A., Coll, B., and Morel, J. M. (2005). A review of image denoising algorithms with a new one. Multi-scale Modeling & Simulation, 4:490-530.
3. Catte, R., Lions, P. L., Morel, J. M., and Coll, T. (1992). Image selective smoothing and edge detection by nonlinear diffusion. SIAM Journal on Applied Mathematics, 29(1): 182-193.
4. Keeling, S. L. and Stollberger, R. (2002). Nonlinear anisotropic diffusion filters for wide range edge sharpening. Inverse Problems, 18:175-190.
5. Kichenassamy, S. (1997). The perona-malik paradox. SIAM Journal on Applied Mathematics, 57(5): 1328-1342.
6. Perona, P. and Malik, J. (1990). Scale-space and edge detection using anisotropic diffusion. IEEE Transaction on pattern analysis and machine intelligence, 12(7):629-639.
7. Platero, C., Poncela, J. M., Gonzalez, P., Tobar, M. C., Sanguino, J., Asensio, G., and Santos, E. (2008). Liver segmentation for hepatic lesions detection and characterisation. Biomedical Imaging: From Nano to Macro, 2008. ISBI 2008. 5th IEEE International Symposium on, pages 13-16.
8. Steidl, G., Weickert, J., Brox, T., Mrzek, P., and Welk, M. (2004). On the equivalence of soft wavelet shrinkage, total variation diffusion, total variation regularitation, and sides. SIAM Journal on Applied Mathematics, 42(2):686-713.
9. Teboul, S., Blanc-Feraud, L., Aubert, G., and Barlaud, M. (1998). Variational approach for edge-preserving reg-ularization using couple pdes. IEEE Trasanctions on Image Processing, 7:387-397.
10. Tsurkov, V. I. (2000). An analytical model of edge protection under noise suppression by anisotropic diffusion. Journal of Computer and Systems Sciences International, 39(3):437-440.
11. Weickert, J. and Benhamouda, B. (1997). A semidiscrete nonlinear scale-space theory and its relation to the perona-malik paradox. Advances in Computer Vision, pages 1-10.
12. Weickert, J., ter Haar Romeny, B., and Viergever, M. A. (1998). Efficient and reliable schemes for nonlinear diffusion filtering. IEEE Trasanctions on Image Processing, 7(3):398-410.
13. Welk, M., Steidl, G., and Weickert, J. (2008). Locally analytic schemes: A link between diffusion filtering and wavelet shrinkage. Applied and Computational Harmonic Analysis, 24(2): 195-224.