A consensus sampling technique for fast and robust model fitting

In this paper, a new algorithm is proposed to improve the efficiency and robustness of random sampling consensus (RANSAC) without prior information about the error scale. Three techniques are developed in an iterative hypothesis-and-evaluation framework. Firstly, we propose a consensus sampling technique to increase the probability of sampling inliers by exploiting the feedback information obtained from the evaluation procedure. Secondly, the preemptive multiple K-th order approximation (PMKA) is developed for efficient model evaluation with unknown error scale. Furthermore, we propose a coarse-to-fine strategy for the robust standard deviation estimation to determine the unknown error scale. Experimental results of the fundamental matrix computation on both simulated and real data are shown to demonstrate the superiority of the proposed algorithm over the previous methods.

[1]  Robert C. Bolles,et al.  Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography , 1981, CACM.

[2]  Josef Kittler,et al.  A survey of the hough transform , 1988, Comput. Vis. Graph. Image Process..

[3]  Michael Isard,et al.  CONDENSATION—Conditional Density Propagation for Visual Tracking , 1998, International Journal of Computer Vision.

[4]  Philip H. S. Torr,et al.  The Development and Comparison of Robust Methods for Estimating the Fundamental Matrix , 1997, International Journal of Computer Vision.

[5]  David Suter,et al.  Robust segmentation of visual data using ranked unbiased scale estimate , 1999, Robotica.

[6]  Jiri Matas,et al.  Randomized RANSAC with Td, d test , 2004, Image Vis. Comput..

[7]  Zhengyou Zhang,et al.  Parameter estimation techniques: a tutorial with application to conic fitting , 1997, Image Vis. Comput..

[8]  Sylvia Richardson,et al.  Markov Chain Monte Carlo in Practice , 1997 .

[9]  Haifeng Chen,et al.  Robust Computer Vision through Kernel Density Estimation , 2002, ECCV.

[10]  Peter J. Rousseeuw,et al.  Robust regression and outlier detection , 1987 .

[11]  P. Rousseeuw Least Median of Squares Regression , 1984 .

[12]  Jiri Matas,et al.  Locally Optimized RANSAC , 2003, DAGM-Symposium.

[13]  Adam Krzyzak,et al.  Robust Estimation for Range Image Segmentation and Reconstruction , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  David W. Murray,et al.  Guided Sampling and Consensus for Motion Estimation , 2002, ECCV.

[15]  James V. Miller,et al.  MUSE: robust surface fitting using unbiased scale estimates , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[16]  David Nistér,et al.  Preemptive RANSAC for live structure and motion estimation , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[17]  Rae-Hong Park,et al.  Robust Adaptive Segmentation of Range Images , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  Jiri Matas,et al.  Matching with PROSAC - progressive sample consensus , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[19]  Philip H. S. Torr,et al.  IMPSAC: Synthesis of Importance Sampling and Random Sample Consensus , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  David A. Forsyth,et al.  The Joy of Sampling , 2004, International Journal of Computer Vision.

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

[22]  David G. Lowe,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004, International Journal of Computer Vision.

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

[24]  David Suter,et al.  Robust adaptive-scale parametric model estimation for computer vision , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[25]  Peter Meer,et al.  Beyond RANSAC: User Independent Robust Regression , 2006, 2006 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW'06).

[26]  Jiri Matas,et al.  Randomized RANSAC with sequential probability ratio test , 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

[27]  Peter Meer,et al.  Robust regression for data with multiple structures , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.