Algorithms for stochastic approximations of curvature flows

IEEE International Conference on Image Processing

Volumn 2, Issue , 2003, Pages 651-654

  Unal, Gozde ^c   Nain, Delphine ^d   Ben Arous, Gerard ^a   Shimkin, Nahum ^b   Tannenbaum, Allen ^b,c   Zeitouni, Ofer ^b,e  

^a NEW YORK UNIVERSITY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d Georgia Institute of Technology   (United States)

^e University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURVATURE FLOWS; STOCHASTIC APPROXIMATIONS;

ALGORITHMS; APPROXIMATION THEORY; RANDOM PROCESSES; THEOREM PROVING;

IMAGE PROCESSING;

EID: 0344271954     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. G. Ben Arous, A. Tannenbaum, and O. Zeitouni, Stochastic approximations to curve shortening flows via particle systems, Technical Report, February 2002. Submitted for publication to Journal of Differential Equations. A version has appeared in Proceedings of MTNS 2002. Preprint may be found at http://www.ee.technion.ac.il/zeitouni/ps/hydro6.ps.
2. H. Buseman, Convex surfaces, Interscience Publ. (1958).
3. M. Gage and R. S. Hamilton, The heat equation shrinking convex planar curves, J. Diff. Geom. 23 (1986), pp. 69-96.
4. C. Kipnis and C. Landim, Scaling limits of interacting particle systems, Springer (1999).
5. G. Sapiro and A. Tannenbaum, On affine planar curve evolution, J. Functl. Anal. 119 (1994), pp. 79-120.
6. H. Taniyama and H. Matano, Formation of singularities in general curve shortening equations, preprint.
7. α, SIAM. J. Numer. Anal. 37 (2000), pp. 500-522.