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Volumn 8932, Issue , 2015, Pages 43-56

On the link between gaussian homotopy continuation and convex envelopes

Author keywords

Continuation Method; Diffusion Equation; Nonconvex Optimization; Vese s PDE

Indexed keywords

COMPUTER VISION; GAUSSIAN DISTRIBUTION; OPTIMIZATION;

EID: 84921861899     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-319-14612-6_4     Document Type: Conference Paper
Times cited : (70)

References (78)
  • 1
    • 84866687362 scopus 로고    scopus 로고
    • Isogeometric finite-elements methods and variational reconstruction tasks in vision - a perfect match
    • Balzer, J., Mörwald, T.: Isogeometric finite-elements methods and variational reconstruction tasks in vision - a perfect match. In: CVPR (2012)
    • (2012) CVPR
    • Balzer, J.1    Mörwald, T.2
  • 2
    • 84921884417 scopus 로고    scopus 로고
    • Ph.D. thesis, EECS Department, University of California, Berkeley (August 2013)
    • Barron, J.: Shapes, Paint, and Light. Ph.D. thesis, EECS Department, University of California, Berkeley (August 2013)
    • Shapes, Paint, and Light
    • Barron, J.1
  • 5
    • 0030194054 scopus 로고    scopus 로고
    • On the unification of line processes, outlier rejection, and robust statistics with applications in early vision
    • Black, M.J., Rangarajan, A.: On the unification of line processes, outlier rejection, and robust statistics with applications in early vision. International Journal of Computer Vision 19(1), 57–91 (1996)
    • (1996) International Journal of Computer Vision , vol.19 , Issue.1 , pp. 57-91
    • Black, M.J.1    Rangarajan, A.2
  • 7
    • 0024480752 scopus 로고
    • Comparison of the efficiency of deterministic and stochastic algorithms for visual reconstruction
    • Blake, A.: Comparison of the efficiency of deterministic and stochastic algorithms for visual reconstruction. IEEE PAMI 11(1), 2–12 (1989)
    • (1989) IEEE PAMI , vol.11 , Issue.1 , pp. 2-12
    • Blake, A.1
  • 10
    • 79551562584 scopus 로고    scopus 로고
    • Large displacement optical flow: Descriptor matching in variational motion estimation
    • Brox, T., Malik, J.: Large displacement optical flow: Descriptor matching in variational motion estimation. IEEE Trans. Pattern Anal. Mach. Intell. 33(3), 500–513 (2011)
    • (2011) IEEE Trans. Pattern Anal. Mach. Intell , vol.33 , Issue.3 , pp. 500-513
    • Brox, T.1    Malik, J.2
  • 12
    • 33749257143 scopus 로고    scopus 로고
    • A continuation method for semi-supervised svms
    • Chapelle, O., Chi, M., Zien, A.: A continuation method for semi-supervised svms. pp. 185–192. ICML 2006 (2006)
    • (2006) ICML 2006 , pp. 185-192
    • Chapelle, O.1    Chi, M.2    Zien, A.3
  • 13
    • 41549144249 scopus 로고    scopus 로고
    • Optimization techniques for semisupervised support vector machines
    • Chapelle, O., Sindhwani, V., Keerthi, S.S.: Optimization techniques for semisupervised support vector machines. J. Mach. Learn. Res. 9, 203–233 (2008)
    • (2008) J. Mach. Learn. Res , vol.9 , pp. 203-233
    • Chapelle, O.1    Sindhwani, V.2    Keerthi, S.S.3
  • 14
    • 77953646359 scopus 로고    scopus 로고
    • Gradient descent optimization of smoothed information retrieval metrics
    • Chapelle, O., Wu, M.: Gradient descent optimization of smoothed information retrieval metrics. Inf. Retr. 13(3), 216–235 (2010)
    • (2010) Inf. Retr , vol.13 , Issue.3 , pp. 216-235
    • Chapelle, O.1    Wu, M.2
  • 15
    • 84894043651 scopus 로고    scopus 로고
    • Bridging boolean and quantitative synthesis using smoothed proof search
    • Chaudhuri, S., Clochard, M., Solar-Lezama, A.: Bridging boolean and quantitative synthesis using smoothed proof search. SIGPLAN Not 49(1), 207–220 (2014)
    • (2014) SIGPLAN Not , vol.49 , Issue.1 , pp. 207-220
    • Chaudhuri, S.1    Clochard, M.2    Solar-Lezama, A.3
  • 16
    • 77954734845 scopus 로고    scopus 로고
    • Smooth interpretation
    • ACM
    • Chaudhuri, S., Solar-Lezama, A.: Smooth interpretation. In: PLDI. pp. 279–291. ACM (2010)
    • (2010) PLDI , pp. 279-291
    • Chaudhuri, S.1    Solar-Lezama, A.2
  • 17
    • 79960375739 scopus 로고    scopus 로고
    • Smoothing a program soundly and robustly
    • In: Gopalakrishnan, G., Qadeer, S. (eds.), Springer, Heidelberg
    • Chaudhuri, S., Solar-Lezama, A.: Smoothing a program soundly and robustly. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 277–292. Springer, Heidelberg (2011)
    • (2011) CAV 2011. LNCS , vol.6806 , pp. 277-292
    • Chaudhuri, S.1    Solar-Lezama, A.2
  • 19
    • 84880944780 scopus 로고    scopus 로고
    • Collaborative patch-based super-resolution for diffusion-weighted images
    • Coupé, P., Manjón, J.V., Chamberland, M., Descoteaux, M., Hiba, B.: Collaborative patch-based super-resolution for diffusion-weighted images. NeuroImage 83, 245–261 (2013)
    • (2013) NeuroImage , vol.83 , pp. 245-261
    • Coupé, P.1    Manjón, J.V.2    Chamberland, M.3    Descoteaux, M.4    Hiba, B.5
  • 20
    • 84866712110 scopus 로고    scopus 로고
    • Unsupervised learning of translation invariant occlusive components
    • Dai, Z., Lücke, J.: Unsupervised learning of translation invariant occlusive components. In: CVPR, pp. 2400–2407 (2012)
    • (2012) CVPR , pp. 2400-2407
    • Dai, Z.1    Lücke, J.2
  • 22
    • 0036994740 scopus 로고    scopus 로고
    • Template matching based object recognition with unknown geometric parameters
    • Dufour, R.M., Miller, E.L., Galatsanos, N.P.: Template matching based object recognition with unknown geometric parameters. IEEE Transactions on Image Processing 11(12), 1385–1396 (2002)
    • (2002) IEEE Transactions on Image Processing , vol.11 , Issue.12 , pp. 1385-1396
    • Dufour, R.M.1    Miller, E.L.2    Galatsanos, N.P.3
  • 23
    • 84923299173 scopus 로고    scopus 로고
    • Universal convexification via risk-aversion
    • Dvijotham, K., Fazel, M., Todorov, E.: Universal convexification via risk-aversion. In: UAI (2014)
    • (2014) UAI
    • Dvijotham, K.1    Fazel, M.2    Todorov, E.3
  • 24
    • 79961226155 scopus 로고    scopus 로고
    • The difficulty of training deep architectures and the effect of unsupervised pre-training
    • Erhan, D., Manzagol, P.A., Bengio, Y., Bengio, S., Vincent, P.: The difficulty of training deep architectures and the effect of unsupervised pre-training. In: AISTATS, pp. 153–160 (2009)
    • (2009) AISTATS, pp , pp. 153-160
    • Erhan, D.1    Manzagol, P.A.2    Bengio, Y.3    Bengio, S.4    Vincent, P.5
  • 27
    • 0029373008 scopus 로고
    • Object-centered surface reconstruction: Combining multi-image stereo shading
    • Fua, P., Leclerc, Y.: Object-centered surface reconstruction: combining multi-image stereo shading. International Journal on Computer Vision 16(1), 35–56 (1995)
    • (1995) International Journal on Computer Vision , vol.16 , Issue.1 , pp. 35-56
    • Fua, P.1    Leclerc, Y.2
  • 28
    • 84862292319 scopus 로고    scopus 로고
    • Deterministic annealing for multiple-instance learning
    • Microtome, Brookline
    • Gehler, P., Chapelle, O.: Deterministic annealing for multiple-instance learning. In: AISTATS 2007, pp. 123–130. Microtome, Brookline (2007)
    • (2007) AISTATS 2007 , pp. 123-130
    • Gehler, P.1    Chapelle, O.2
  • 29
    • 85037542052 scopus 로고
    • Coupled markov random fields and mean field theory
    • Morgan Kaufmann
    • Geiger, D., Girosi, F.: Coupled markov random fields and mean field theory. In: NIPS, pp. 660–667. Morgan Kaufmann (1989)
    • (1989) NIPS , pp. 660-667
    • Geiger, D.1    Girosi, F.2
  • 31
    • 0030125842 scopus 로고    scopus 로고
    • A graduated assignment algorithm for graph matching
    • Gold, S., Rangarajan, A.: A graduated assignment algorithm for graph matching. IEEE PAMI 18, 377–388 (1996)
    • (1996) IEEE PAMI , vol.18 , pp. 377-388
    • Gold, S.1    Rangarajan, A.2
  • 32
    • 85153946040 scopus 로고
    • Learning with preknowledge: Clustering with point and graph matching distance measures
    • Gold, S., Rangarajan, A., Mjolsness, E.: Learning with preknowledge: Clustering with point and graph matching distance measures. In: NIPS, pp. 713–720 (1994)
    • (1994) NIPS , pp. 713-720
    • Gold, S.1    Rangarajan, A.2    Mjolsness, E.3
  • 33
    • 85068957967 scopus 로고    scopus 로고
    • Combining 3d shape, color, and motion for robust anytime tracking
    • Berkeley, USA (July
    • Held, D., Levinson, J., Thrun, S., Savarese, S.: Combining 3d shape, color, and motion for robust anytime tracking. In: RSS, Berkeley, USA (July 2014)
    • RSS , pp. 2014
    • Held, D.1    Levinson, J.2    Thrun, S.3    Savarese, S.4
  • 34
    • 33745805403 scopus 로고    scopus 로고
    • A fast learning algorithm for deep belief networks
    • Hinton, G.E., Osindero, S., Teh, Y.W.: A fast learning algorithm for deep belief networks. Neural Computation 18(7), 1527–1554 (2006)
    • (2006) Neural Computation , vol.18 , Issue.7 , pp. 1527-1554
    • Hinton, G.E.1    Osindero, S.2    Teh, Y.W.3
  • 35
    • 84887349659 scopus 로고    scopus 로고
    • A new model and simple algorithms for multi-label mumford-shah problems
    • June
    • Hong, B.W., Lu, Z., Sundaramoorthi, G.: A new model and simple algorithms for multi-label mumford-shah problems. In: CVPR (June 2013)
    • (2013) CVPR
    • Hong, B.W.1    Lu, Z.2    Sundaramoorthi, G.3
  • 36
    • 84887382752 scopus 로고    scopus 로고
    • Deformable spatial pyramid matching for fast dense correspondences
    • IEEE
    • Kim, J., Liu, C., Sha, F., Grauman, K.: Deformable spatial pyramid matching for fast dense correspondences. In: CVPR, pp. 2307–2314. IEEE (2013)
    • (2013) CVPR , pp. 2307-2314
    • Kim, J.1    Liu, C.2    Sha, F.3    Grauman, K.4
  • 38
    • 0028261345 scopus 로고
    • The invisible hand algorithm: Solving the assignment problem with statistical physics
    • Kosowsky, J.J., Yuille, A.L.: The invisible hand algorithm: Solving the assignment problem with statistical physics. Neural Networks 7(3), 477–490 (1994)
    • (1994) Neural Networks , vol.7 , Issue.3 , pp. 477-490
    • Kosowsky, J.J.1    Yuille, A.L.2
  • 40
    • 51949119460 scopus 로고    scopus 로고
    • Smoothing-based optimization
    • Leordeanu, M., Hebert, M.: Smoothing-based optimization. In: CVPR (2008)
    • (2008) CVPR
    • Leordeanu, M.1    Hebert, M.2
  • 41
    • 79952950936 scopus 로고    scopus 로고
    • Fine-granularity and spatially-adaptive regularization for projection-based image deblurring
    • Li, X.: Fine-granularity and spatially-adaptive regularization for projection-based image deblurring. IEEE Transactions on Image Processing 20(4), 971–983 (2011)
    • (2011) IEEE Transactions on Image Processing , vol.20 , Issue.4 , pp. 971-983
    • Li, X.1
  • 42
    • 84861318489 scopus 로고    scopus 로고
    • An extended path following algorithm for graph-matching problem
    • Liu, Z., Qiao, H., Xu, L.: An extended path following algorithm for graph-matching problem. IEEE Trans. Pattern Anal. Mach. Intell. 34(7), 1451–1456 (2012)
    • (2012) IEEE Trans. Pattern Anal. Mach. Intell , vol.34 , Issue.7 , pp. 1451-1456
    • Liu, Z.1    Qiao, H.2    Xu, L.3
  • 43
    • 33646550082 scopus 로고    scopus 로고
    • On the behavior of spatial critical points under gaussian blurring (A folklore theorem and scale-space constraints)
    • In: Kerckhove, M. (ed.), Springer, Heidelberg
    • Loog, M., Duistermaat, J.J., Florack, L.M.J.: On the behavior of spatial critical points under gaussian blurring (A folklore theorem and scale-space constraints). In: Kerckhove, M. (ed.) Scale-Space 2001. LNCS, vol. 2106, pp. 183–192. Springer, Heidelberg (2001)
    • (2001) Scale-Space 2001. LNCS , vol.2106 , pp. 183-192
    • Loog, M.1    Duistermaat, J.J.2    Florack, L.M.J.3
  • 46
    • 70449652872 scopus 로고    scopus 로고
    • Data-driven image completion by image patch subspaces
    • Mobahi, H., Rao, S., Ma, Y.: Data-driven image completion by image patch subspaces. In: Picture Coding Symposium (2009)
    • (2009) Picture Coding Symposium
    • Mobahi, H.1    Rao, S.2    Ma, Y.3
  • 49
    • 84990602490 scopus 로고
    • Optimal approximations by piecewise smooth functions and associated variational problems
    • Mumford, D., Shah, J.: Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. 42(5), 577–685 (1989)
    • (1989) Comm. Pure Appl. Math , vol.42 , Issue.5 , pp. 577-685
    • Mumford, D.1    Shah, J.2
  • 51
    • 78649252763 scopus 로고    scopus 로고
    • Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction. Trans. Img
    • Nikolova, M., Ng, M.K., Tam, C.P.: Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction. Trans. Img. Proc. 19(12), 3073–3088 (2010)
    • (2010) Proc , vol.19 , Issue.12 , pp. 3073-3088
    • Nikolova, M.1    Ng, M.K.2    Tam, C.P.3
  • 53
    • 77956001415 scopus 로고    scopus 로고
    • Simultaneous foreground, background, and alpha estimation for image matting
    • IEEE
    • Price, B.L., Morse, B.S., Cohen, S.: Simultaneous foreground, background, and alpha estimation for image matting. In: CVPR, pp. 2157–2164. IEEE (2010)
    • (2010) CVPR , pp. 2157-2164
    • Price, B.L.1    Morse, B.S.2    Cohen, S.3
  • 55
    • 0025585402 scopus 로고
    • A deterministic annealing approach to clustering
    • Rose, K., Gurewitz, E., Fox, G.: A deterministic annealing approach to clustering. Pattern Recognition Letters 11(9), 589–594 (1990)
    • (1990) Pattern Recognition Letters , vol.11 , Issue.9 , pp. 589-594
    • Rose, K.1    Gurewitz, E.2    Fox, G.3
  • 56
    • 77949262999 scopus 로고    scopus 로고
    • Optimizing an organized modularity measure for topographic graph clustering: A deterministic annealing approach
    • Rossi, F., Villa-Vialaneix, N.: Optimizing an organized modularity measure for topographic graph clustering: A deterministic annealing approach. Neurocomputing 73(7-9), 1142–1163 (2010)
    • (2010) Neurocomputing , vol.73 , Issue.7-9 , pp. 1142-1163
    • Rossi, F.1    Villa-Vialaneix, N.2
  • 58
    • 85162461412 scopus 로고    scopus 로고
    • Manifold precis: An annealing technique for diverse sampling of manifolds
    • Shroff, N., Turaga, P.K., Chellappa, R.: Manifold precis: An annealing technique for diverse sampling of manifolds. In: NIPS, pp. 154–162 (2011)
    • (2011) NIPS , pp. 154-162
    • Shroff, N.1    Turaga, P.K.2    Chellappa, R.3
  • 59
    • 33749242620 scopus 로고    scopus 로고
    • Deterministic annealing for semisupervised kernel machines
    • ACM, New York
    • Sindhwani, V., Keerthi, S.S., Chapelle, O.: Deterministic annealing for semisupervised kernel machines. In: ICML 2006, pp. 841–848. ACM, New York (2006)
    • (2006) ICML 2006 , pp. 841-848
    • Sindhwani, V.1    Keerthi, S.S.2    Chapelle, O.3
  • 60
    • 85149124789 scopus 로고    scopus 로고
    • Annealing techniques for unsupervised statistical language learning
    • Barcelona, Spain, July
    • Smith, N.A., Eisner, J.: Annealing techniques for unsupervised statistical language learning. In: ACL, Barcelona, Spain, pp. 486–493 (July 2004)
    • (2004) ACL , pp. 486-493
    • Smith, N.A.1    Eisner, J.2
  • 61
    • 84897753119 scopus 로고    scopus 로고
    • Joint trilateral filtering for multiframe optical flow
    • Stoll, M., Volz, S., Bruhn, A.: Joint trilateral filtering for multiframe optical flow. In: ICIP, pp. 3845–3849 (2013)
    • (2013) ICIP , pp. 3845-3849
    • Stoll, M.1    Volz, S.2    Bruhn, A.3
  • 62
    • 77955989832 scopus 로고    scopus 로고
    • Secrets of optical flow estimation and their principles
    • IEEE
    • Sun, D., Roth, S., Black, M.J.: Secrets of optical flow estimation and their principles. In: CVPR, pp. 2432–2439. IEEE (2010)
    • (2010) CVPR , pp. 2432-2439
    • Sun, D.1    Roth, S.2    Black, M.J.3
  • 63
    • 0024051722 scopus 로고
    • The computation of visible-surface representations
    • Terzopoulos, D.: The computation of visible-surface representations. IEEE Trans. Pattern Anal. Mach. Intell. 10(4), 417–438 (1988)
    • (1988) IEEE Trans. Pattern Anal. Mach. Intell , vol.10 , Issue.4 , pp. 417-438
    • Terzopoulos, D.1
  • 65
    • 58049195322 scopus 로고    scopus 로고
    • Highly undersampled magnetic resonance image reconstruction via homotopic 0 -minimization
    • Trzasko, J., Manduca, A.: Highly undersampled magnetic resonance image reconstruction via homotopic 0 -minimization. IEEETrans. Med. Imaging 28(1), 106–121 (2009)
    • (2009) IEEETrans. Med. Imaging , vol.28 , Issue.1 , pp. 106-121
    • Trzasko, J.1    Manduca, A.2
  • 66
    • 0033473111 scopus 로고    scopus 로고
    • A method to convexify functions via curve evolution
    • Vese, L.: A method to convexify functions via curve evolution. Commun. Partial Differ. Equations 24(9-10), 1573–1591 (1999)
    • (1999) Commun. Partial Differ. Equations , vol.24 , Issue.9-10 , pp. 1573-1591
    • Vese, L.1
  • 67
    • 84891109658 scopus 로고    scopus 로고
    • Analysis of descent-based image registration
    • Vural, E., Frossard, P.: Analysis of descent-based image registration. SIAMJ. Imaging Sciences 6(4), 2310–2349 (2013)
    • (2013) SIAMJ. Imaging Sciences , vol.6 , Issue.4 , pp. 2310-2349
    • Vural, E.1    Frossard, P.2
  • 71
    • 0030303861 scopus 로고    scopus 로고
    • The Effective Energy Transformation Scheme as a Special Continuation Approach to Global Optimization with Application to Molecular Conformation
    • Wu, Z.: The Effective Energy Transformation Scheme as a Special Continuation Approach to Global Optimization with Application to Molecular Conformation. SIAM J. on Optimization 6, 748–768 (1996)
    • (1996) SIAM J. on Optimization , vol.6 , pp. 748-768
    • Wu, Z.1
  • 73
    • 0002595644 scopus 로고
    • Generalized deformable models, statistical physics, and matching problems
    • Yuille, A.L.: Generalized deformable models, statistical physics, and matching problems. Neural Computation 2, 1–24 (1990)
    • (1990) Neural Computation , vol.2 , pp. 1-24
    • Yuille, A.L.1
  • 74
    • 84921842488 scopus 로고
    • Stereo integration, mean field theory and psychophysics
    • In: Faugeras, O. (ed.), Springer, Heidelberg
    • Yuille, A., Geiger, D., Bulthoff, H.: Stereo integration, mean field theory and psychophysics. In: Faugeras, O. (ed.) ECCV 1990. LNCS, vol. 427, pp. 71–82. Springer, Heidelberg (1990)
    • (1990) ECCV 1990. LNCS , vol.427 , pp. 71-82
    • Yuille, A.1    Geiger, D.2    Bulthoff, H.3
  • 76
    • 0001375902 scopus 로고
    • Statistical physics, mixtures of distributions, and the em algorithm
    • Yuille, A.L., Stolorz, P.E., Utans, J.: Statistical physics, mixtures of distributions, and the em algorithm. Neural Computation 6(2), 334–340 (1994)
    • (1994) Neural Computation , vol.6 , Issue.2 , pp. 334-340
    • Yuille, A.L.1    Stolorz, P.E.2    Utans, J.3
  • 77
    • 84921874301 scopus 로고    scopus 로고
    • A path following algorithm for the graph matching problem
    • Zaslavskiy, M., Bach, F., Vert, J.P.: A path following algorithm for the graph matching problem. IEEE PAMI (2009)
    • (2009) IEEE PAMI
    • Zaslavskiy, M.1    Bach, F.2    Vert, J.P.3
  • 78
    • 0027635418 scopus 로고
    • Mean field annealing using compound gauss-markov random fields for edge detection and image estimation
    • Zerubia, J., Chellappa, R.: Mean field annealing using compound gauss-markov random fields for edge detection and image estimation. IEEE Transactions on Neural Networks 4(4), 703–709 (1993)
    • (1993) IEEE Transactions on Neural Networks , vol.4 , Issue.4 , pp. 703-709
    • Zerubia, J.1    Chellappa, R.2


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