T-Linkage: A Continuous Relaxation of J-Linkage for Multi-model Fitting

This paper presents an improvement of the J-linkage algorithm for fitting multiple instances of a model to noisy data corrupted by outliers. The binary preference analysis implemented by J-linkage is replaced by a continuous (soft, or fuzzy) generalization that proves to perform better than J-linkage on simulated data, and compares favorably with state of the art methods on public domain real datasets.

[1]  Olga Veksler,et al.  Fast Fusion Moves for Multi-model Estimation , 2012, ECCV.

[2]  Jean-Philippe Tardif,et al.  Non-iterative approach for fast and accurate vanishing point detection , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[3]  Charles V. Stewart,et al.  Bias in robust estimation caused by discontinuities and multiple structures , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Tat-Jun Chin,et al.  The Random Cluster Model for robust geometric fitting , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[5]  Tat-Jun Chin,et al.  Multi-structure model selection via kernel optimisation , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[6]  René Vidal,et al.  Motion Segmentation in the Presence of Outlying, Incomplete, or Corrupted Trajectories , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  Philip H. S. Torr An assessment of information criteria for motion model selection , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[8]  Charles V. Stewart,et al.  MINPRAN: A New Robust Estimator for Computer Vision , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Tat-Jun Chin,et al.  Dynamic and hierarchical multi-structure geometric model fitting , 2011, 2011 International Conference on Computer Vision.

[10]  Erkki Oja,et al.  A new curve detection method: Randomized Hough transform (RHT) , 1990, Pattern Recognit. Lett..

[11]  Patrick Pérez,et al.  Clustering Point Trajectories with Various Life-Spans , 2009, 2009 Conference for Visual Media Production.

[12]  David F. Fouhey,et al.  Multiple Plane Detection in Image Pairs Using J-Linkage , 2010, 2010 20th International Conference on Pattern Recognition.

[13]  Silvio Savarese,et al.  Learning a dense multi-view representation for detection, viewpoint classification and synthesis of object categories , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[14]  Andrea Fusiello,et al.  Robust Multiple Structures Estimation with J-Linkage , 2008, ECCV.

[15]  Andrew Zisserman,et al.  MLESAC: A New Robust Estimator with Application to Estimating Image Geometry , 2000, Comput. Vis. Image Underst..

[16]  René Vidal,et al.  Sparse subspace clustering , 2009, CVPR.

[17]  Kenichi Kanatani,et al.  Removing Mistracking of Multibody Motion Video Database Hopkins155 , 2013, BMVC.

[18]  Marc Pollefeys,et al.  A General Framework for Motion Segmentation: Independent, Articulated, Rigid, Non-rigid, Degenerate and Non-degenerate , 2006, ECCV.

[19]  Andrea Fusiello,et al.  Photo-Consistent Planar Patches from Unstructured Cloud of Points , 2010, ECCV.

[20]  David Suter,et al.  A Model-Selection Framework for Multibody Structure-and-Motion of Image Sequences , 2007, International Journal of Computer Vision.

[21]  Tat-Jun Chin,et al.  Simultaneous Sampling and Multi-Structure Fitting with Adaptive Reversible Jump MCMC , 2011, NIPS.

[22]  Yuri Boykov,et al.  Energy-Based Geometric Multi-model Fitting , 2012, International Journal of Computer Vision.

[23]  Jan-Michael Frahm,et al.  RECON: Scale-adaptive robust estimation via Residual Consensus , 2011, 2011 International Conference on Computer Vision.

[24]  Tat-Jun Chin,et al.  A global optimization approach to robust multi-model fitting , 2011, CVPR 2011.

[25]  Tat-Jun Chin,et al.  Robust fitting of multiple structures: The statistical learning approach , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[26]  B. S. Manjunath,et al.  The multiRANSAC algorithm and its application to detect planar homographies , 2005, IEEE International Conference on Image Processing 2005.

[27]  Brendan J. Frey,et al.  FLoSS: Facility location for subspace segmentation , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[28]  René Vidal,et al.  A Benchmark for the Comparison of 3-D Motion Segmentation Algorithms , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[29]  Jana Kosecka,et al.  Nonparametric Estimation of Multiple Structures with Outliers , 2006, WDV.