Diffusion runs low on persistence fast

Proceedings of the IEEE International Conference on Computer Vision

Volumn , Issue , 2011, Pages 423-430

  Chen, Chao ^a,b   Edelsbrunner, Herbert ^a,c,d  

^a INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA   (Austria)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c Duke University   (United States)

^d Geomagic   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPACT SUBSETS; EUCLIDEAN PLANES; EXPERIMENTAL OBSERVATION; GAUSSIAN KERNELS; SCALE-SPACE;

ELECTRICAL ENGINEERING;

IMAGE PROCESSING;

EID: 84863031403     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCV.2011.6126271     Document Type: Conference Paper

References (27)

1. M. Abramowitz and I. Stegun. Handbook of Mathematical Functions. Dover, New York, NY, 1964. 6
2. H. Bay, T. Tuytelaars, and L. Van Gool. Surf: Speeded up robust features. In ECCV, pages 404-417, 2006. 1
3. A. Buades, B. Coll, and J. Morel. A non-local algorithm for image denoising. In CVPR, pages 60-65, 2005. 2
4. M. Carreira-Perpinán and C. Williams. An isotropic Gaussian mixture can have more modes than components. Rept. EDI-INF-RR-0185, School of Informatics, Univ. Edinburgh, Scotland, 2003. 1
5. D. Cohen-Steiner, H. Edelsbrunner, J. Harer, and Y. Mileyko. Lipschitz functions have Lp-stable persistence. Found. Comput. Math., 10(2):127-139, 2010. 4, 5
6. J. Damon. Local Morse theory for solutions to the heat equation and Gaussian blurring. J. Diff. Eq., 115(2):368-401, 1995. 1
7. H. Edelsbrunner and J. Harer. Computational Topology. An Introduction. Amer. Math. Soc., Providence, RI, 2010. 2, 4
8. H. Freudenthal. Simplizialzerlegung von beschränkter Flachheit. Ann. of Math., 43:580-582, 1942. 5
9. D. Gustavsson, K. Pedersen, F. Lauze, and M. Nielsen. On the rate of structural change in scale spaces. In SSVM, pages 832-843, 2009. 2
10. T. Iijima. Basic theory on normalization of a pattern (in case of typical one-dimensional pattern), (in Japanese). Bull. Electrotechn. Lab., 26:368-388, 1962. 1
11. J. Koenderink. The structure of images. Bio. Cyber., 50(5):363-370, 1984. 1
12. A. Kuijper and L. Florack. The relevance of non-generic events in scale space models. IJCV, 57(1):67-84, 2004. 1
13. I. Laptev. On space-time interest points. IJCV, 64(2):107-123, 2005. 2
14. L. M. Lifshitz and S. M. Pizer. A multiresolution hierarchical approach to image segmentation based on intensity extrema. PAMI, 12(6):529-540, 1990. 1
15. T. Lindeberg. Effective scale: A natural unit for measuring scale-space lifetime. PAMI, 15(10):1068-1074, 1993. 2, 8
16. T. Lindeberg. Scale-Space Theory in Computer Vision. Kluwer, Dortrecht, the Netherlands, 1993. 1
17. T. Lindeberg. Feature detection with automatic scale selection. IJCV, 30(2):79-116, 1998. 1
18. D. Lowe. Object recognition from local scale-invariant features. In ICCV, pages 1150-1157, 1999. 1
19. K. Mikolajczyk and C. Schmid. Scale & affine invariant interest point detectors. IJCV, 60(1):63-86, 2004. 1
20. K. Mikolajczyk, T. Tuytelaars, C. Schmid, A. Zisserman, J. Matas, F. Schaffalitzky, T. Kadir, and L. Gool. A comparison of affine region detectors. IJCV, 65(1):43-72, 2005. 1, 2
21. J. Milnor. Morse Theory. Princeton Univ. Press, NJ, 1963. 2
22. J. Munkres. Elements of Algebraic Topology. Addison-Wesley, Reading, MA, 1984. 3
23. J. Rieger. Generic evolutions of edges on families of diffused greyvalue surfaces. J. Math. Imaging Vis., 5(3):207-217, 1995. 1
24. L. Saloff-Coste. Aspects of Sobolev-Type Inequalities. Cambridge Univ. Press, England, 2002. 3
25. J. Sporring and J. Weickert. Information measures in scalespaces. IEEE Trans. Inform. Theory, 45(3):1051-1058, 1999. 2
26. G. Sundaramoorthi, P. Petersen, V. S. Varadarajan, and S. Soatto. On the set of images modulo viewpoint and contrast changes. In CVPR, pages 832-839, 2009. 2
27. A. Witkin. Scale space filtering. In Proc. 8th Int. Joint Conf. Art. Intell., pages 1019-1022, 1983. 1