Abstract
The Bipartite Graph Matching Problem is a well studied topic in Graph Theory. Such matching relates pairs of nodes from two distinct sets by selecting a subset of the graph edges connecting them. Each edge selected has no common node as its end points to any other edge within the subset. When the considered graph has huge sets of nodes and edges the sequential approaches are impractical, specially for applications demanding fast results. In this paper we investigate how to compute such matching on Graphics Processing Units (GPUs) motivated by its increasing processing power made available with decreasing costs. We present a new data-parallel approach for computing bipartite graph matching that is efficiently computed on today’s graphics hardware and apply it to solve the correspondence between 3D samples taken over a time interval.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Fischer, T., Goldberg, A.V., Haglin, D.J., Plotkin, S.: Approximating matchings in parallel. Inf. Process. Lett. 46(3), 115–118 (1993)
Hougardy, S., Vinkemeier, D.E.: Approximating weighted matchings in parallel. Inf. Process. Lett. 99(3), 119–123 (2006)
Lotker, Z., Patt-Shamir, B., Rosen, A.: Distributed approximate matching. In: PODC 2007: Proceedings of the twenty-sixth annual ACM symposium on Principles of distributed computing, pp. 167–174. ACM, New York (2007)
Lotker, Z., Patt-Shamir, B., Pettie, S.: Improved distributed approximate matching. In: SPAA 2008: Proceedings of the twentieth annual symposium on Parallelism in algorithms and architectures, pp. 129–136. ACM, New York (2008)
Vasconcelos, C.N., Rosenhahn, B.: Bipartite graph matching computation on gpu public code, http://crisnv.googlepages.com/bgm
Alexander, H., Saip, B., Lucchesi, C.: Matching algorithms for bipartite graphs. Technical report, DCC-UNICAMP (March 1993)
Kuhn, H.W.: The hungarian method for the assignment problem. Naval Research Logistics Quarterly 2, 83–97 (1955)
Bertsekas, D.P.: Auction algorithms for network flow problems: A tutorial introduction. Computational Optimization and Applications 1, 7–66 (1992)
Fernando, R.: GPU Gems 2 - Programming techniques for High-Performance Graphics and General Purpose Computation. Addison-Wesley Professional, USA (2005)
Vasconcelos, C.N., Sá, A., Teixeira, L., Carvalho, P.C., Gattass, M.: Real-time video processing for multi-object chromatic tracking. In: Proceedings of the 12th (BMVC 2008), pp. 113–122 (2008)
Cuda programming guide 1.1 (2007), http://developer.download.nvidia.com/
Kosowsky, J.J., Yuille, A.L.: The invisible hand algorithm: solving the assignment problem with statistical physics. Neural Netw. 7(3), 477–490 (1994)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vasconcelos, C.N., Rosenhahn, B. (2009). Bipartite Graph Matching Computation on GPU. In: Cremers, D., Boykov, Y., Blake, A., Schmidt, F.R. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2009. Lecture Notes in Computer Science, vol 5681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03641-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-03641-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03640-8
Online ISBN: 978-3-642-03641-5
eBook Packages: Computer ScienceComputer Science (R0)