A Complete Symbolic-Numeric Linear Method for Camera Pose Determination

机译：确定相机姿势的完整符号数字线性方法

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摘要

Camera pose estimation is the problem of determining the position and orientation of an internally calibrated camera from known 3D reference points and their images. We briefly survey several existing methods for pose estimation, then introduce our new complete linear method, which is based on a symbolic-numeric method from the geometric (Jet) theory of partial differential equations. The method is stable and robust. In particular, it can deal with the points near critical configurations. Numerical experiments are given to show the performance of the new method.

机译：相机姿态估计是根据已知的3D参考点及其图像确定内部校准相机的位置和方向的问题。我们简要概述了几种现有的姿态估计方法，然后介绍了新的完全线性方法，该方法基于偏微分方程的几何（Jet）理论中的符号数字方法。该方法是稳定且鲁棒的。特别是，它可以处理关键配置附近的问题。数值实验表明了该方法的有效性。

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来源
《International Symposium on Symbolic and Algebraic Computation Aug 3-6, 2003 Philadelphia, Pennsylvania, USA》|2003年|p.215-223|共9页
会议地点 Philadelphia PA(US);Philadelphia PA(US)
作者
Greg Reid; Jianliang Tang; Lihong Zhi;
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作者单位

Dept. of Applied Mathematics University of Western Ontario London, Canada N6A 5B7;

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会议组织
原文格式 PDF
正文语种 eng
中图分类 O2;
关键词
calibration; camera pose estimation; polynomial solving; numerical linear algebra; numeric elimination; partial differential equations; jet spaces; involutive bases; numeric jet geometry;

机译：校准;相机姿态估计;多项式求解;数值线性代数;数值消除;偏微分方程;射流空间;对合底;数值射流几何;

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1. Embedded multi-processor system-on-programmable chip for smart camera pose estimation using nonlinear optimization methods [J] . Pelissier Frantz, Chenini Hanen, Berry Francois, Journal of Real-Time Image Processing . 2016,第4期

机译：使用非线性优化方法的嵌入式多处理器系统可编程芯片，用于智能相机姿态估计
2. Linear N-point camera pose determination [J] . Long Quan, Zhongdan Lan IEEE Transactions on Pattern Analysis and Machine Intelligence . 1999,第8期

机译：线性N点相机姿态确定
3. A robust and accurate camera pose determination method based on geometric optimization search using Internet of Things [J] . Qi Wang, Zhangyan Zhao, Enshun Lu, International Journal of Distributed Sensor Networks . 2019,第6期

机译：基于物联网几何优化搜索的鲁棒且精确的相机姿态确定方法
4. A complete symbolic-numeric linear method for camera pose determination [C] . Greg Reid, Jianliang Tang, Lihong Zhi International symposium on Symbolic and algebraic computation . 2003

机译：确定相机姿态的完整符号数字线性方法
5. Pose estimation of line cameras using linear features. [D] . Lee, Young-Ran. 2002

机译：使用线性特征估计线相机的姿态。
6. Real time complete Stokes polarimetric imager based on a linear polarizer array camera for tissue polarimetric imaging [O] . Ji Qi, Chao He, Daniel S. Elson 2017

机译：基于线性偏振器阵列相机的实时完整Stokes偏振成像仪用于组织偏振成像
7. Linear N-Point Camera Pose Determination [O] . Quan, Long, Lan, Zhong-Dan 1999

机译：线性N点相机姿势确定
8. Range from Triangulation Using an Inverse Perspective Method to Determine Relative Camera Pose [R] . Chaconas, K. 1990

机译：三角测量的范围使用逆透视法确定相对相机姿势

A Complete Symbolic-Numeric Linear Method for Camera Pose Determination

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