Robust optical flow estimation based on brightness correction fields

Optical flow estimation is still an important task in computer vision with many interesting applications. However, the results obtained by most of the optical flow techniques are affected by motion discontinuities or illumination changes. In this paper, we introduce a brightness correction field combined with a gradient constancy constraint to reduce the sensibility to brightness changes between images to be estimated. The advantage of this brightness correction field is its simplicity in terms of computational complexity and implementation. By analyzing the deficiencies of the traditional total variation regularization term in weakly textured areas, we also adopt a structure-adaptive regularization based on the robust Huber norm to preserve motion discontinuities. Finally, the proposed energy functional is minimized by solving its corresponding Euler-Lagrange equation in a more effective multi-resolution scheme, which integrates the twice downsampling strategy with a support-weight median filter. Numerous experiments show that our method is more effective and produces more accurate results for optical flow estimation.

[1]  Daniel Cremers,et al.  Anisotropic Huber-L1 Optical Flow , 2009, BMVC.

[2]  Michael J. Black,et al.  The Robust Estimation of Multiple Motions: Parametric and Piecewise-Smooth Flow Fields , 1996, Comput. Vis. Image Underst..

[3]  Gilbert Strang,et al.  The Discrete Cosine Transform , 1999, SIAM Rev..

[4]  D. Shulman,et al.  Regularization of discontinuous flow fields , 1989, [1989] Proceedings. Workshop on Visual Motion.

[5]  John S. Zelek,et al.  Structure from Motion: Combining features correspondences and optical flow , 2008, 2008 19th International Conference on Pattern Recognition.

[6]  Jitendra Malik,et al.  Large displacement optical flow , 2009, CVPR.

[7]  Daniel Cremers,et al.  Structure- and motion-adaptive regularization for high accuracy optic flow , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[8]  Anand Rangarajan,et al.  A new convex edge-preserving median prior with applications to tomography , 2003, IEEE Transactions on Medical Imaging.

[9]  Robert M. Gray,et al.  Toeplitz and Circulant Matrices: A Review , 2005, Found. Trends Commun. Inf. Theory.

[10]  Robert M. Gray,et al.  Toeplitz And Circulant Matrices: A Review (Foundations and Trends(R) in Communications and Information Theory) , 2006 .

[11]  Richard Szeliski,et al.  A Database and Evaluation Methodology for Optical Flow , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[12]  Berthold K. P. Horn,et al.  Determining Optical Flow , 1981, Other Conferences.

[13]  Antonio Torralba,et al.  SIFT Flow: Dense Correspondence across Different Scenes , 2008, ECCV.

[14]  Horst Bischof,et al.  A Duality Based Approach for Realtime TV-L1 Optical Flow , 2007, DAGM-Symposium.

[15]  D. Gilland,et al.  Motion estimation for cardiac emission tomography by optical flow methods , 2008, Physics in medicine and biology.

[16]  Seth J. Teller,et al.  Particle Video: Long-Range Motion Estimation Using Point Trajectories , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).

[17]  Carsten Rother,et al.  FusionFlow: Discrete-continuous optimization for optical flow estimation , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[18]  Daniel Cremers,et al.  An Improved Algorithm for TV-L 1 Optical Flow , 2009, Statistical and Geometrical Approaches to Visual Motion Analysis.

[19]  Andriy Myronenko,et al.  Image registration by minimization of residual complexity , 2009, CVPR.

[20]  S. Negahdaripour,et al.  Relaxing the Brightness Constancy Assumption in Computing Optical Flow , 1987 .

[21]  In-So Kweon,et al.  Adaptive Support-Weight Approach for Correspondence Search , 2006, IEEE Trans. Pattern Anal. Mach. Intell..

[22]  David J. Fleet,et al.  Performance of optical flow techniques , 1994, International Journal of Computer Vision.

[23]  Shang-Hong Lai,et al.  Accurate optical flow computation under non-uniform brightness variations , 2005, Comput. Vis. Image Underst..

[24]  Michael P. Dessauer,et al.  Optical flow object detection, motion estimation, and tracking on moving vehicles using wavelet decompositions , 2010, Defense + Commercial Sensing.

[25]  Qin Bin-jie Robust Deformable Medical Image Registration Using Optical Flow and Multilevel Free Form Deformation , 2008 .

[26]  J. Weickert,et al.  Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods , 2005 .

[27]  David J. Fleet,et al.  Computing optical flow with physical models of brightness variation , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[28]  Julie Zhou Robust Estimationに , 2009 .

[29]  Daniel Cremers,et al.  Large displacement optical flow computation withoutwarping , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[30]  P. J. Huber Robust Regression: Asymptotics, Conjectures and Monte Carlo , 1973 .

[31]  Véronique Prinet,et al.  Two-Frame Optical Flow Formulation in an Unwarping Multiresolution Scheme , 2009, CIARP.

[32]  Thomas Brox,et al.  High Accuracy Optical Flow Estimation Based on a Theory for Warping , 2004, ECCV.

[33]  Michael P. Dessauer,et al.  Low-resolution vehicle tracking using dense and reduced local gradient features maps , 2010, Defense + Commercial Sensing.

[34]  Avinash C. Kak,et al.  Robust motion estimation under varying illumination , 2005, Image Vis. Comput..

[35]  Michael J. Black,et al.  Secrets of optical flow estimation and their principles , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[36]  Shahriar Negahdaripour,et al.  Revised Definition of Optical Flow: Integration of Radiometric and Geometric Cues for Dynamic Scene Analysis , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[37]  Jitendra Malik,et al.  Recognizing action at a distance , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[38]  S. Osher,et al.  A new median formula with applications to PDE based denoising , 2009 .

[39]  Jitendra Malik,et al.  Large Displacement Optical Flow: Descriptor Matching in Variational Motion Estimation , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.