Support blob machines: The sparsification of linear scale space

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

Volumn 3024, Issue , 2004, Pages 14-24

  Loog, Marco ^a,b  

^a IT UNIVERSITY OF COPENHAGEN   (Denmark)

^b UNIVERSITY MEDICAL CENTER UTRECHT   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

NUMBER THEORY; PROBLEM SOLVING;

DIFFERENTIABILITY; INITIAL FUNCTIONS; QUADRATIC LOSS FUNCTIONS; REGULARIZATION THEORY; SCALE-SPACE THEORY; SPARSE APPROXIMATIONS; SUPPORT VECTOR REGRESSION (SVR); TIKHONOV REGULARIZATION;

COMPUTER VISION;

EID: 24644435535     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-24673-2_2     Document Type: Article

References (24)

1. R. van den Boomgaard and A. W. M. Smeulders. The morphological structure of images, the differential equations of morphological scale-space. IEEE Transactions on Pattern Analysis and Machine Intelligence, 16(11):1101-1113, 1994.
2. R. Duits, M. Felsberg, L. M. J. Florack, and B. Platel. α Scale spaces on a bounded domain. In Scale Space Methods in Computer Vision, 4th International Conference, Scale-Space 2003, pages 494-510, Isle of Skye, 2003.
3. L. M. J. Florack, R. Maas, and W. J. Niessen. Pseudo-linear scale-space theory. International Journal of Computer Vision, 31(2/3):247-259, April 1999.
4. F. Girosi. An equivalence between sparse approximation and support vector machines. Neural Computation, 10(6):1455-1480, 1998.
5. F. Girosi, M. Jones, and T. Poggio. Prior stabilizers and basis functions: From regularization to radial, tensor and additive splines. Technical Report AI Memo 1430, CBCL Paper 75, MIT, Cambridge, MA, 1993.
6. L. D. Griffin. Local image structure, metamerism, norms, and natural image statistics. Perception, 31(3), 2002.
7. B. M. ter Haar Romeny (ed.). Geometry-Driven Diffusion. Kluwer, Dordrecht, 1996.
8. P. J. Huber. Robust Statistics. John Wiley & Sons, New York, 1981.
9. P. R. Jackway. Morphological scale-space. In 11th IAPR International Conference on Pattern Recognition, pages 252-255, The Hague, The Netherlands, 1992.
10. J. J. Koenderink. The structure of images. Biological Cybernetics, 50:363-370, 1984.
11. J. J. Koenderink and A. J. van Doorn. Metamerism in complete sets of image operators. In Advances in Image Understanding '96, pages 113-129, 1996.
12. M. Lillholm, M. Nielsen, and L. D. Griffin. Feature-based image analysis. International Journal of Computer Vision, 52:73-95, 2003.
13. T. Lindeberg. Scale-Space Theory in Computer Vision. Kluwer Academic Press, Boston, 1994.
14. M. Loog, M. Lillholm, M. Nielsen, and M. A. Viergever. Gaussian scale space from insufficient image information. In Scale Space Methods in Computer Vision, 4th International Conference, Scale-Space 2003, pages 757-769, Isle of Skye, 2003.
15. M. Nielsen, L. M. J. Florack, and R. Deriche. Regularization, scale-space, and edge detection filters. Journal of Mathematical Imaging and Vision, 7(4):291-307,1997.
16. K.-R. Park and C.-N. Lee. Scale-space using mathematical morphology. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18(11):1121-1126, 1996.
17. P. Perona and J. Malik. Scale space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12:429-439, 1990.
18. O. Scherzer and J. Weickert. Relations between regularization and diffusion filtering. Journal of Mathematical Imaging and Vision, 12:43-63, 2000.
19. A. J. Smola and B. Schölkopf. A tutorial on support vector regression. Technical Report NC-TR-98-030, Royal Holloway College, University of London, UK, 1998.
20. A. J. Smola, B. Schölkopf, and K.-R. Müller. The connection between regularization operators and support vector kernels. Neural Networks, 11:637-650, 1998.
21. A. N. Tikhonov and V. Y. Arseninn. Solution of Ill-Posed Problems. W. H. Winston, Washington D.C., 1977.
22. V. Vapnik. The Nature of Statistical Learning Theory. Springer-Verlag, New York, 1995.
23. J. Weickert. Anisotropic Diffusion in Image Processing. B. G. Teubner, Stuttgart, 1998.
24. A. P. Witkin. Scale-space filtering. In Proceedings of IJCAI, Germany, 1983.