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| 一种基于奇异值分解的分层重构算法 | |
| 引用本文： | 梁栋,韦穗,吴福朝,杨尚俊. 一种基于奇异值分解的分层重构算法[J]. 中国科学技术大学学报, 2001, 31(5): 571-576 |
| 作者姓名： | 梁栋 韦穗 吴福朝 杨尚俊 |
| 作者单位： | 1. 安徽大学;安徽大学电子工程与信息科学系 2. 安徽大学 3. 安徽大学数学系, |
| 基金项目： | 国家863计划资助项目(863-9804-09) |
| 摘 要： | 以仿射投影来逼近透视投影,采用共轭梯度法迭代估计射影深度,通过测量矩阵的奇异值分解实现射影重构.在摄象机内参数已知的情况下,求解一个满足欧氏重构条件的4×4非奇异矩阵,由此矩阵将射影重构变换为欧氏重构.实验结果表明该算法是行之有效的. |
| 关 键 词： | 奇异值分解 3D重构 计算机视觉 分层重构算法 射影重构 射影深度 矩阵分解 |
| 文章编号： | 0253-2778(2001)05-0571-06 |
| 修稿时间： | 2000-10-08 |
An Algorithm of Hierarchical Reconstruction Based on SVD |
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| LIANG Dong ,,WEI Sui ,WU Fu chao ,YANG Shang jun. An Algorithm of Hierarchical Reconstruction Based on SVD[J]. Journal of University of Science and Technology of China, 2001, 31(5): 571-576 | |
| Authors: | LIANG Dong WEI Sui WU Fu chao YANG Shang jun |
| Affiliation: | LIANG Dong 1,2,WEI Sui 1,WU Fu chao 1,YANG Shang jun 3 |
| Abstract: | Affine projection is used to approximate perspective projection, projective depths are iteratively estimated by using the conjugate gradient method, and the projective reconstruction is obtained by SVD of the measurement matrix. Under the circumstances in which the intrinsic parameters of camera are known, a 4x4 non singular matrix satisfying the conditions of euclidean reconstruction is evaluated, with which projective reconstruction is transformed into euclidean reconstruction. The result indicates that the algorithm is effective. |
| Keywords: | SVD 3D reconstruction computer vision |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |