电子学报 ›› 2007, Vol. 35 ›› Issue (4): 692-696.

• 论文 • 上一篇    下一篇

基于1维子空间线性迭代射影重建

刘侍刚1, 吴成柯1, 李良福2, 宁纪锋1   

  1. 1. 西安电子科技大学综合业务网国家重点实验室,陕西西安 710071;2. 陕西师范大学计算机科学学院,陕西西安 710065
  • 收稿日期:2004-08-19 修回日期:2006-08-04 出版日期:2007-04-25 发布日期:2007-04-25

A Linear Iterative Method for Projective Reconstruction Based on 1D Subspace

LIU Shi-gang1, WU Cheng-ke1, LI Liang-fu2, NING Ji-feng1   

  1. 1. National Key Laboratory of ISN,Xidian University,Xi’an,Shaanxi 710071,China;2. School of Computer Science,Shaanxi Normal University,Xi’an,Shaanxi 710065,China
  • Received:2004-08-19 Revised:2006-08-04 Online:2007-04-25 Published:2007-04-25

摘要: 提出了一种基于1维子空间线性迭代的射影重建方法.该方法利用所有图像序列的行向量生成的子空间之和,与射影重建空间点的行向量生成的子空间是同一线性子空间,同时,由第1幅图像的3个行向量及另外一个行向量可以构成该线性子空间的一个基底的特性,线性迭代求取这个行向量及图像深度因子,最后完成射影重建.模拟实验和真实实验数据结果表明,该射影重建方法具有鲁棒性好、收敛性好以及重投影误差小等优点.

关键词: 射影重建, 分解算法, 线性迭代

Abstract: A linear iterative method for projective reconstruction based on 1D subspace 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 that the basis of the subspace can consist of the three rows in the matrix comprising the first image points and a row vector which is orthogonal the former.The row vector and the depth factors are obtained based on linear iteration,and lastly the projective reconstruction is accomplished.The experiments with both simulate and real data show that the method is efficient,robust and has good property of convergence and small re-projection errors.

Key words: projective reconstruction, factorization method, linear iteration

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