Abstract:Large-scale computing and high matching error rate are two disadvantages of the existing algorithms based on belief propagation. An efficient global optimal algorithm for dense disparity mapping is presented. Firstly, according to the feature of match cost and the disparity discontinuities accompanying the intensity changes, the adapted data constraint and the smoothness constraint are defined, and the messages are passed after the smoothness constraint is adjusted in every level. Then, the redundancy in message passing iteration process is discussed, and the message convergence is checked to decrease the running time. Finally, match symmetry is used to detect occlusions according to the analysis of matching errors in belief propagation algorithm. After the data term is reconstructed, a greedy method is used to iteratively refine the disparity result to propagate disparity information from the stable pixels to the unstable ones. The experimental results show the proposed algorithm computes a disparity map accurately with relative less time.
[1] Szeliski R, Zabih R, Scharstein D, et al. A Comparative Study of Energy Minimization Methods for Markov Random Fields // Proc of the European Conference on Computer Vision. Graz, Austria, 2006, Ⅰ: 16-29 [2] Szeliski R, Zabih R. An Experimental Comparison of Stereo Algorithm //Proc of the International Workshop on Vision Algorithms: Theory and Practice. London, UK, 1999: 1-19 [3] Sun Jian, Shum H Y, Zheng Nanning. Stereo Matching Using Belief Propagation. IEEE Trans on Pattern Analysis and Machine Intelligence, 2003, 25(7): 787-800 [4] Weiss Y, Freeman W T. On the Optimality of Solutions of the Max-Product Belief Propagation Algorithm in Arbitrary Graphs. IEEE Trans on Information Theory, 2001, 47(2): 736-744 [5] Kolmogorov V, Rother C. Comparison of Energy Minimization Algorithms for Highly Connected Graphs// Proc of the 9th European Conference on Computer Vision. Graz, Austria, 2006, Ⅰ: 1-15 [6] Tappen M F, Freeman W T. Comparison of Graph Cuts with Belief Propagation for Stereo Using Identical MRF Parameters// Proc of the 9th IEEE International Conference on Computer Vision. Nice, France, 2003, Ⅱ: 900-906 [7] Felzenszwalb P F, Huttenlocher D P. Efficient Belief Propagation for Early Vision // Proc of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Washington, USA, 2004, Ⅰ: 261-268 [8] Birchfield S, Tomasi C. Depth Discontinuities by Pixel-to-Pixel Stereo. International Journal of Computer Vision, 1999, 35(3): 269-293 [9] Willsky A S. Multi-Resolution Markov Models for Signal and Image Processing. Proc of the IEEE, 2002, 90(8): 1396-1458 [10] Borgefors G. Distance Transformations in Digital Images. Computer Vision, Graphics and Image Processing, 1986, 34(3): 344-371 [11] Yang Qingxiong, Wang Liang, Yang Ruigang, et al. Real-Time Global Stereo Matching Using Hierarchical Belief Propagation // Proc of the British Machine Vision Conference. Edinburgh, UK, 2006, III: 989-998 [12] Scharstein D, Szeliski R. A Taxonomy and Evaluation of Dense Two-Frame Stereo Correspondence Algorithms. International Journal of Computer Vision, 2002, 47(1/2/3): 7-42 [13] Boykov Y, Veksler O, Zabih R. Fast Approximate Energy Minimization via Graph Cuts. IEEE Trans on Pattern Analysis and Machine Intelligence, 2001, 23(11): 1222-1239