A novel robust model fitting approach towards multiple-structure data segmentation

A novel model fitting approach via Structure Decision Graph (SDG) is proposed.SDG is constructed based on the weight score and minimum arrived distance.P-distance is developed to measure similarity via continuous consensus set.SDG is less disturbed by noises and outliers and easy to implement.Experiments show the superiority of SDG for multiple-structure segmentation. We propose a novel and effective robust model fitting approach based on the Structure Decision Graph (SDG) to segment multiple-structure data in the presence of outliers. The proposed approach is motivated by the observations that each structure can be characterized by one representative hypothesis, called as the Structure Prototype (SP), and the SPs have relatively large distances among them. In this paper, instead of analyzing each hypothesis individually, the residuals over all the hypotheses are used to explicitly construct an SDG, where a sorted weight score set and a minimum arrived distance set are respectively computed. Based on the SDG, the SPs corresponding to different structures can be easily determined. Compared with conventional robust model fitting approaches, one distinguishing characteristic of our approach is that the clustering procedure is not required. Therefore, the proposed approach is less disturbed by noises and outliers, and is relatively easy to implement. Experimental results on synthetic data and real-world image datasets demonstrate the superiority of the proposed approach over the state-of-the-art robust model fitting approaches for multiple-structure data segmentation.

[1]  G LoweDavid,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004 .

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

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

[4]  Anders P. Eriksson,et al.  An adversarial optimization approach to efficient outlier removal , 2011, ICCV.

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

[6]  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.

[7]  Peter Meer,et al.  Simultaneous multiple 3D motion estimation via mode finding on Lie groups , 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

[8]  Peter Meer,et al.  Generalized Projection-Based M-Estimator , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Andrea Fusiello,et al.  Structure-and-motion pipeline on a hierarchical cluster tree , 2009, 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops.

[10]  Tat-Jun Chin,et al.  Sampling Minimal Subsets with Large Spans for Robust Estimation , 2013, International Journal of Computer Vision.

[11]  Thomas Brox,et al.  Universität Des Saarlandes Fachrichtung 6.1 – Mathematik Highly Accurate Optic Flow Computation with Theoretically Justified Warping Highly Accurate Optic Flow Computation with Theoretically Justified Warping , 2022 .

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

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

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

[15]  Daniel Mirota,et al.  A Generalized Kernel Consensus-Based Robust Estimator , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Andrea Fusiello,et al.  T-Linkage: A Continuous Relaxation of J-Linkage for Multi-model Fitting , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[17]  David Suter,et al.  MDPE: A Very Robust Estimator for Model Fitting and Range Image Segmentation , 2004, International Journal of Computer Vision.

[18]  Yan Yan,et al.  Mode-Seeking on Hypergraphs for Robust Geometric Model Fitting , 2015, 2015 IEEE International Conference on Computer Vision (ICCV).

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

[20]  Tat-Jun Chin,et al.  The Random Cluster Model for robust geometric fitting , 2012, CVPR.

[21]  Yan Yan,et al.  Superpixel-based Two-view Deterministic Fitting for Multiple-structure Data , 2016, ECCV.

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

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

[24]  David Suter,et al.  Robust Optic Flow Computation , 1998, International Journal of Computer Vision.

[25]  Daniel Mirota,et al.  Robust motion estimation and structure recovery from endoscopic image sequences with an Adaptive Scale Kernel Consensus estimator , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[26]  Alessandro Laio,et al.  Clustering by fast search and find of density peaks , 2014, Science.

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

[28]  Shuicheng Yan,et al.  Efficient structure detection via random consensus graph , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[29]  V. A. Epanechnikov Non-Parametric Estimation of a Multivariate Probability Density , 1969 .

[30]  Tat-Jun Chin,et al.  Simultaneously Fitting and Segmenting Multiple-Structure Data with Outliers , 2012, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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

[32]  J. Rodgers,et al.  Thirteen ways to look at the correlation coefficient , 1988 .

[33]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[34]  Haifeng Chen,et al.  Robust regression with projection based M-estimators , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.