Regularity and scale-space properties of fractional high order linear filtering

Lecture Notes in Computer Science

Volumn 3459, Issue , 2005, Pages 13-25

  Didas, Stephan ^a   Burgeth, Bernhard ^a   Imiya, Atsushi ^b   Weickert, Joachim ^a  

^a SAARLAND UNIVERSITY   (Germany)

^b CHIBA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DERIVATIVES; DIFFERENTIAL EQUATIONS; IMAGE PROCESSING; LINEAR SYSTEMS; WHITE NOISE;

FRACTIONAL DERIVATIVES; LINEAR FILTERING; PSEUDODIFFERENTIAL EQUATIONS; SEMI-DISCRETE FILTERS;

SIGNAL FILTERING AND PREDICTION;

EID: 24644436991     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11408031_2     Document Type: Conference Paper

References (16)

1. Witkin, A.P.: Scale-space filtering. In: Proc. Eighth International Joint Conference on Artificial Intelligence. Volume 2., Karlsruhe, West Germany (1983) 945-951
2. Koenderink, J.J.: The structure of images. Biological Cybernetics 50 (1984) 363-370
3. Lindeberg, T.: Scale-Space Theory in Computer Vision. Kluwer, Boston (1994)
4. Florack, L.: Image Structure. Volume 10 of Computational Imaging and Vision. Kluwer, Dordrecht (1997)
5. Sporring, J., Nielsen, M., Florack, L., Johansen, P., eds.: Gaussian Scale-Space Theory. Volume 8 of Computational Imaging and Vision. Kluwer, Dordrecht (1997)
6. Iijima, T.: Basic theory on normalization of pattern (in case of typical one-dimensional pattern). Bulletin of the Electrotechnical Laboratory 26 (1962) 368-388 (in Japanese).
7. Iijima, T.: Theory of pattern recognition. Electronics and Communications in Japan (1963) 123-124 (in English).
8. Pauwels, E.J., Van Gool, L.J., Fiddelaers, P., Moons, T.: An extended class of scale-invariant and recursive scale space filters. IEEE Transactions on Pattern Analysis and Machine Intelligence 17 (1995) 691-701
9. Duits, R., Florack, L., de Graaf, J., Ter Haar Romeny, B.: On the axioms of scale space theory. Journal of Mathematical Imaging and Vision 20 (2004) 267-298
10. Felsberg, M., Sommer, G.: Scale-adaptive filtering derived from the laplace equation. In Radig, B., Florczyk, S., eds.: Pattern Recognition. Volume 2032 of Lecture Notes on Computer Science., Springer (2001) 95-106
11. Rudin, W.: Real and Complex Analysis, third edn. McGraw-Hill (1986)
12. Taylor, M.E.: Partial Differential Equations I - Basic Theory. Springer, New York (1996)
13. Taylor, M.E.: Partial Differential Equations II - Qualitative Studies of Linear Equations. Springer, New York (1996)
14. Taylor, M.E.: Pseudodifferential Operators. Princeton University Press, Princeton, New Jersey (1981)
15. Nielsen, M., Florack, L., Deriche, R.: Regularization, scale-space and edge detection filters. Journal of Mathematical Imaging and Vision 7 (1997) 291-307
16. Scherzer, O., Weickert, J.: Relations between regularization and diffusion filtering. Journal of Mathematical Imaging and Vision 12 (2000) 43-63