Abstract
Recently, continuous optimization methods have become quite popular since they can deal with a variety of non-smooth convex problems. They are inherently parallel and therefore well suited for GPU implementations. Most of the continuous optimization approaches have in common that they are very fast in the beginning, but tend to get very slow as the solution gets close to the optimum. We therefore propose to apply global relabeling steps to speed up the convergence close to the optimum. The resulting primal-dual algorithm with global relabeling is applied to graph cut problems as well as to Total Variation (TV) based image segmentation. Numerical results show that the global relabeling steps significantly speed up convergence of the segmentation algorithm.
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References
Greig, D.M., Porteous, B.T., Seheult, A.H.: Exact maximum a posteriori estimation for binary images. Journal of the Royal Statistical Society Series B 51, 271–279 (1989)
Szeliski, R., Zabih, R., Scharstein, D., Veksler, O., Kolmogorov, V., Agarwala, A., Tappen, M., Rother, C.: A comparative study of energy minimization methods for Markov random fields with smoothness-based priors. IEEE transactions on pattern analysis and machine intelligence 30, 1068–1080 (2008)
Boykov, Y., Kolmogorov, V.: Computing geodesics and minimal surfaces via graph cuts. In: Ninth IEEE International Conference on Computer Vision, vol. 1, pp. 26–33 (2003)
Boykov, Y., Kolmogorov, V.: An experimental comparison of min-cut/max-flow algorithms for energy minimization in vision. IEEE transactions on pattern analysis and machine intelligence 26, 1124–1137 (2004)
Rother, C., Kolmogorov, V., Blake, A.: GrabCut - Interactive Foreground Extraction using Iterated Graph Cuts. ACM Transactions on Graphics, SIGGRAPH (2004)
Dixit, N., Keriven, R., Paragios, N.: GPU-Cuts: Combinatorial Optimisation, Graphic Processing Units and Adaptive Object Extraction. Technical Report March, Laboratoire Centre Enseignement Recherche Traitement Information Systemes (CERTIS), Ecole Nationale des Ponts et Chaussees, ENPC (2005)
Vineet, V., Narayanan, P.J.: CUDA cuts: Fast graph cuts on the GPU. In: IEEE Conference on Computer Vision and Pattern Recognition Workshops (2008)
Bhusnurmath, A., Taylor, C.J.: Graph cuts via l1 norm minimization. IEEE transactions on pattern analysis and machine intelligence 30, 1866–1871 (2008)
Strang, G.: Maximal flow through a domain. Mathematical Programming 26, 123–143 (1983)
Strang, G.: Maximum flows and minimum cuts in the plane. Journal of Global Optimization 47, 527–535 (2009)
Klodt, M., Schoenemann, T., Kolev, K., Schikora, M., Cremers, D.: An experimental comparison of discrete and continuous shape optimization methods. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part I. LNCS, vol. 5302, pp. 332–345. Springer, Heidelberg (2008)
Sinop, A.K., Grady, L.: A Seeded Image Segmentation Framework Unifying Graph Cuts And Random Walker Which Yields A New Algorithm. In: IEEE 11th International Conference on Computer Vision (2007)
Couprie, C., Grady, L., Najman, L., Talbot, H.: Power Watershed: A Unifying Graph-Based Optimization Framework. IEEE Trans. on Pattern Analysis and Machine Intelligence (2011)
Grady, L.: Random walks for image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 83, 1768–1783 (2006)
Olsson, C., Byrod, M., Overgaard, N.C., Kahl, F.: Extending continuous cuts: Anisotropic metrics and expansion moves. In: IEEE 12th International Conference on Computer Vision, pp. 405–412 (2009)
Appleton, B., Talbot, H.: Globally minimal surfaces by continuous maximal flows. IEEE Transactions on Pattern Analysis and Machine Intelligence 28, 106–118 (2006)
Chan, T.F., Esedoglu, S., Nikolova, M.: Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models. SIAM Journal on Applied Mathematics 66, 16–32 (2006)
Caselles, V., Kimmel, R., Sapiro, G.: Geodesic active contours. International Journal of Computer Vision 1, 61–79 (1997)
Leung, S., Osher, S.: Global Minimization of the Active Contour Model with TV-Inpainting and Two-phase Denoising. In: 3rd IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision, pp. 149–160 (2005)
Unger, M., Pock, T., Bischof, H.: Continuous Globally Optimal Image Segmentation with Local Constraints. In: Computer Vision Winter Workshop, Moravske Toplice, Slovenija (2008)
Bresson, X., Esedoglu, S., Vandergheynst, P., Thiran, J.P., Osher, S.: Fast Global Minimization of the Active Contour/Snake Model. Journal of Mathematical Imaging and Vision 28, 151–167 (2007)
Chambolle, A., Pock, T.: A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging. Journal of Mathematical Imaging and Vision, 1-26 (2010)
Chambolle, A.: Total Variation Minimization and a Class of Binary MRF Models. In: Energy Minimization Methods in Computer Vision and Pattern Recognition, vol. 1, pp. 136–152 (2005)
NVidia: NVIDIA Performance Primitives ( NPP ) Version 3.2.16. Technical report (2010)
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Unger, M., Pock, T., Bischof, H. (2011). Global Relabeling for Continuous Optimization in Binary Image Segmentation. In: Boykov, Y., Kahl, F., Lempitsky, V., Schmidt, F.R. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2011. Lecture Notes in Computer Science, vol 6819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23094-3_8
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DOI: https://doi.org/10.1007/978-3-642-23094-3_8
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