Projective Reconstruction Based on Rank 1 Matrix

LIU Shi-gang; PENG Ya-li; HAN Chong-zhao; WU Cheng-ke

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Projective Reconstruction Based on Rank 1 Matrix

更新时间：2025-07-16

- Projective Reconstruction Based on Rank 1 Matrix
- Acta Electronica Sinica Vol. 37, Issue 1, Pages: 225-228(2009)
- 作者机构：
  
  1. 西安交通大学电子与信息工程学院,陕西,西安,710049
  2. 陕西师范大学计算机科学学院,陕西,西安,710062
  3. 西安交通大学电子与信息工程学院陕西西安,710049
  4. 陕西师范大学计算机科学学院陕西西安,710062
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391.41P232
- Published：2009
- 稿件说明：
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LIU Shi-gang, PENG Ya-li, HAN Chong-zhao, et al. Projective Reconstruction Based on Rank 1 Matrix[J]. Acta Electronica Sinica, 2009, 37(1): 225-228.
DOI：

LIU Shi-gang, PENG Ya-li, HAN Chong-zhao, et al. Projective Reconstruction Based on Rank 1 Matrix[J]. Acta Electronica Sinica, 2009, 37(1): 225-228. DOI：

摘要

提出了一种能够将所有图像平等看待基于秩1的射影重建方法

该方法并不是直接求解射影空间结构点和投影矩阵

而是求解射影空间结构点的深度因子及投影矩阵.本文利用射影空间结构点可以由图像点及深度因子构成的特性

构造了一个秩为1的矩阵

用线性迭代的方法求取空间结构点的深度因子

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收敛性好、重投影误差小及运行速度快等优点.

Abstract

A linear iterative method for projective reconstruction based on rank 1 matrix containing the images of all points in all views

which can deal with all the images in a unified manner

is presented in the paper.In the method

the unknowns are the 3D motion and relative depths of the set of points

not their 3D positions.The coordinates of the points along the camera plane are given by their image positions.The knowledge of the coordinates enables us to solve the projective reconstruction problem by the linear iterative method based on the rank 1 matrix.Experiments with both simulated and real data show that the method for projective reconstruction has good property of convergence

computational cost and projective errors.

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Related Institution

National Key Laboratory of ISN,Xidian University

National Key Laboratory of ISNXidian UniversityXi’anShaanxi 710071China

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Engineering Laboratory of Teaching Information Technology of Shaanxi Province

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