Iteration Projection Reconstruction Method for 3D Non-Rigid Based on Minimal Eigenvalue

QIU Guo-yong; LIU Jing-na; LIU Zhong-hua; PENG Ya-li; LIU Shi-gang

doi:10.3969/j.issn.0372-2112.2017.05.026

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Iteration Projection Reconstruction Method for 3D Non-Rigid Based on Minimal Eigenvalue

更新时间：2025-07-16

- Iteration Projection Reconstruction Method for 3D Non-Rigid Based on Minimal Eigenvalue
- Acta Electronica Sinica Vol. 45, Issue 5, Pages: 1211-1217(2017)
- 作者机构：
  
  1. 现代教学技术教育部重点实验室,陕西,西安,710062
  2. 陕西省教学信息技术工程实验室,陕西,西安,710119
  3. 河南科技大学电子信息工程学院,河南,洛阳,471023
  4. 现代教学技术教育部重点实验室,陕西,西安,710062
  5. 陕西省教学信息技术工程实验室,陕西,西安,710119
  6. 河南科技大学电子信息工程学院,河南,洛阳,471023
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61402274, No.61672333, No.61461025, No.61202314, No.41471280, No.61501286, No.U1504610);Industrial Science and Technology Research and Development Project of Shaanxi Province (No.2016GY-081);Key Science and Technology Innovation Team Project of Shaanxi Province (No.2014KTC-18);China Postdoctoral Science Foundation funded project (No.2014T70937);Fundamental Research Funds for the Central Universities of Shaanxi Normal University (No.GK201402040);Learning Science Interdisciplinary Training Program of Shaanxi Normal University
- DOI：10.3969/j.issn.0372-2112.2017.05.026
  CLC： TP391.41
- Published：2017
- 稿件说明：
移动端阅览
QIU Guo-yong, LIU Jing-na, LIU Zhong-hua, et al. Iteration Projection Reconstruction Method for 3D Non-Rigid Based on Minimal Eigenvalue[J]. Acta Electronica Sinica, 2017, 45(5): 1211-1217.
DOI：

QIU Guo-yong, LIU Jing-na, LIU Zhong-hua, et al. Iteration Projection Reconstruction Method for 3D Non-Rigid Based on Minimal Eigenvalue[J]. Acta Electronica Sinica, 2017, 45(5): 1211-1217. DOI： 10.3969/j.issn.0372-2112.2017.05.026.

摘要

为了从图像序列中重建出非刚体三维射影重建，本文提出了一种最小特征值的迭代非刚体射影重建方法.该方法利用所有的图像点和深度因子组成一个低秩图像矩阵的特性，将投影求解转化为矩阵特征值及特征向量的求解，迭代地求解深度因子，实现非刚体的三维射影重建.该方法能够保证算法能够收敛到全局最优解.模拟实验和真实实验结果表明，本文方法具有收敛性速度快、误差小等优点.

Abstract

To obtain 3D non-rigid projective reconstruction from an image sequence

an iteration projection reconstruction method for 3D non-rigid based on minimal eigenvalue is presented.Based on the characteristic that all the image points and the depth factors constitute a low rank image matrix

the method replaces projection solution by eigenvalue and eigenvector solution.Then we can obtain the depth factors by iteration.Finally

the 3D non-rigid projective reconstruction is realized.The method can guarantee to converge to the global optimal solution.The experiments with both simulate and real data show that the proposed method has the advantages of fast convergence speed and small error.

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