线性迭代子空间射影重建法

刘侍刚; 吴成柯; 赵录刚; 宁纪锋

doi:10.3724/SP.J.1146.2005.00746

线性迭代子空间射影重建法

doi: 10.3724/SP.J.1146.2005.00746

刘侍刚^{①②;吴成柯},
吴成柯,
赵录刚,
宁纪锋

基金项目:

国家自然科学基金(60473119, 60372043)资助课题

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出版历程
- 收稿日期: 2005-06-27
- 修回日期: 2005-11-24
- 刊出日期: 2007-02-19

An Iterative Method Based on Subspace for Projective Reconstruction

摘要

摘要: 该文提出了一种基于子空间线性迭代的射影重建方法，该方法利用所有的图像序列构成的行向量生成的线性子空间之和与射影重建结构点构成的行向量生成的子空间是同一线性子空间及在该子空间中任何一个基底都可以作为射影重建的特性，线性迭代地求取射影重建及图像深度因子。模拟实验和真实实验表明，该射影重建方法具有鲁棒性好、收敛性好及重投影误差小等优点。
- 图像处理;射影重建;分解算法;线性迭代
Abstract: An iterative factorization method based on linear subspace for projective reconstruction is presented in the paper. It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and the fact that any basis of the subspace can be regarded as projective reconstruction. The projective reconstruction and the depth factors are obtained based on linear iteration. The experiments with both simulate and real data show that the method is efficient, robust and has good property of convergence and small reprojection errors.

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[1] Faugeras O. What can be seen in three dimensions with an uncalibrated stereo rig? ECCV92, Lecture notes in Computer Science, Springer-Verlag, 1992, 588: 563－578. [2] Kuthirummal S, Jawahar C, and Narayanan P. Planar shape recognition across multiple views. International Conference on Pattern Recognition, Quebec City, Canada, Aug. 2002: 482－488. [3] Hartley R. Lines and points in three views and the trifocal tensor[J].International Journal of Computer Vision.1997, 22(2):125- [4] Hartley R. Ambiguous configurations for 3-view projective reconstruction. Proceedings of European Conference on Computer Vision, Ireland, 2000: 922－935. [5] Liu S, Wu C, Tang L, and Jia J. An iterative factorization method based on rank 1 for projective structure and motion[J].The IEICE Transactions on Information and Systems.2005, E88-D(9):2183- [6] Tomasi C and Kanade T. Shape and motion from image streams under orthography: A factorization method[J].International Journal of Computer Vision.1992, 9(2):137-154 [7] Sturm P and Triggs B. A factorization based algorithm for multi-image projective structure and motion. Proceedings of European Conference on Computer Vision, Cambridge, 1996: 709－720. [8] 刘侍刚, 吴成柯, 唐丽, 严尧平. 一种基于线性迭代自定标方法. 电子学报, 2004, 32(10): 1716－1719. Liu Shi-gang, Wu Cheng-ke, Tang Li, and Yan Rao-ping. A new self-calibration algorithm based on linear iteration. Acta Electronica Sinica，2004, 32(10): 1716－1719. [9] Heyden A, Berthilsson R, and Sparr G. An iterative factorization method for projective structure and motion from image sequences[J].Image and Vision Computing.1999, 17(13):981-991 [10] 程云鹏, 张凯院, 徐仲. 矩阵论. 西安: 西北工业大学出版社, 2001: 289-293.

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