Domain decomposition for parallel variational optical flow computation

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

Volumn 2781, Issue , 2003, Pages 196-203

  Kohlberger, Timo ^a   Schnörr, Christoph ^a   Bruhn, Andrés ^b   Weickert, Joachim ^b  

^a UNIVERSITY OF MANNHEIM   (Germany)

^b SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; IMAGE PROCESSING; OPTICAL FLOWS; PATTERN RECOGNITION;

IMAGE PROCESSING PROBLEMS; INTERPROCESS COMMUNICATION; MATHEMATICAL FORMULATION; OPTICAL FLOW COMPUTATION; SPATIO-TEMPORAL REGULARIZATIONS; UNSTRUCTURED GEOMETRY; VARIATIONAL APPROACHES; VARIATIONAL PROBLEMS;

OPTICAL DATA PROCESSING;

EID: 35248901071     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-45243-0_26     Document Type: Article

References (17)

1. B.K.P. Horn and B.G. Schunck. Determining optical flow. Art. Int., 17:185-203, 1981.
2. H.H. Nagel. On the estimation of optical flow: Relations between different approaches and some new results. Artif. Intell, 33:299-324, 1987.
3. J. Weickert and C. Schnörr. A theoretical framework for convex regularizers in pde-based computation of image motion. Int. J. Computer Vision, 45(3):245-264, 2001.
4. D. J. Fleet J. L. Barron and S. S. Beauchemin. Perfomance of optical flow techniques. Int. J. Computer Vision, 1994.
5. A. Bruhn, J. Weickert, and C. Schnorr. Combining the advantages of local and global optic flow methods. In L. van Gool, editor, Pattern Recognition, Proc. 24th DAGM Symposium, volume 2449 of LNCS, pages 454-462, Zurich, Switzerland, 2002. Springer.
6. D. Terzopoulos. Multilevel computational processes for visual surface reconstruction. Comp. Vis., Graph., and Imag. Proc., 24:52-96, 1983.
7. W. Enkelmann. Investigation of multigrid algorithms for the estimation of optical flow fields in image sequences. Comp. Vis. Graphics and Imag. Proc., 43:150-177, 1987.
8. A. Bruhn, J. Weickert, C. Feddern, T. Kohlberger, and C. Schnörr. Real-time optic flow computation with variational methods. In Proc. Computer Analysis of Images and Patterns (CAIP'03), LNCS. Springer, 2003. in press.
9. C. Schnörr. Determining optical flow for irregular domains by minimizing quadratic functionals of a certain class. Int. J. Computer Vision, 6(1):25-38, 1991.
10. T.F. Chan and T.P. Mathew. Domain decomposition algorithms. Acta Numerica, pages 61-143, 1994.
11. A. Quarteroni and A. Valli. Domain Decomposition Methods for Partial Differential Equations. Oxford Univ. Press, 1999.
12. T. Kohlberger, C. Schnörr, A. Bruhn, and J. Weickert. Domain decomposition for variational optical flow computation. Technical Report 07/2003, Dept. Math. and Comp. Science, University of Mannheim, Germany, May 2003. Submitted to IEEE Trans. Image Processing.
13. J.-F. Bourgat, Glowinski R., P. Le Tallec, and Vidrascu M. Variational formulation and algorithm for trace operator in domain decomposition calculations. In T. Chan, Glowinski R., J. Pénaux, and O. Widlund, editors, Domain Decomposition Methods, pages 3-16, Philadelphia, 1989. SIAM.
14. P. Le Tallec, De Roeck Y.-H., and Vidrascu M. Domain decomposition methods for large linearly elliptic three dimensional problems. J. Comp. Appl. Math., page 34, 1991.
15. Y.-H. De Roeck and P. Le Tallec. Analysis and test of a local domain decomposition preconditioner. In R. Glowinsiki, Y. Kuznetsov, G. Meurant, J Pénaux, and Widlund O., editors, 4th Int. Symp. on Domain Decomposition Methods for Part. Diff. Equations, pages 112-128, Philadelphia, 1991. SIAM.
16. J. Mandel and M. Brezina. Balancing domain decomposition: Theory and performance in two and three dimensions. Technical report, Comp. Math. Group, University of Colorado at Denver, Denver, CO, 1, 1993.
17. J. Mandel. Balancing domain decomposition. Comm. Numer. Math. Eng., 9:233-241, 1993.