投影仪全参数平面线性估计的高精度标定方法

龚春园 1; 梁晋 1; 温广瑞 1; 牌文延 1; 2; 李磊刚 1; 2

doi:10.7652/xjtuxb201611006

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投影仪全参数平面线性估计的高精度标定方法

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- 投影仪全参数平面线性估计的高精度标定方法
- High-Precision Calibration for Wholly Parametric Plane Linear Estimation Algorithm of Projector
- 西安交通大学学报 2016年50卷第11期页码：36-42
- 作者机构：
  
  1. 西安交通大学机械制造系统工程国家重点实验室,西安,710049
  2. 广东顺德西安交通大学研究院,广东,佛山,528300
- 作者简介：
- 基金信息：
  
  : 2016-03-26。作者简介: 龚春园(1989—),女,博士生;梁晋(通信作者),男,教授。基金项目: 国家自然科学基金资助项目(51421004,51275378,51275389);中央高校基本科研业务费专项资金资助项目;广东省公益研究与能力建设专项资金资助项目(2014A010104003)
- DOI：10.7652/xjtuxb201611006
  中图分类号： TP391
- 网络首发：2016-11-10，
  
  纸质出版：2016
- 稿件说明：
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龚春园 1, 梁晋 1, 温广瑞 1, 等. 投影仪全参数平面线性估计的高精度标定方法[J]. 西安交通大学学报, 2016,50(11):36-42.

High-Precision Calibration for Wholly Parametric Plane Linear Estimation Algorithm of Projector[J]. 2016, 50(11): 36-42.
龚春园 1, 梁晋 1, 温广瑞 1, 等. 投影仪全参数平面线性估计的高精度标定方法[J]. 西安交通大学学报, 2016,50(11):36-42. DOI： 10.7652/xjtuxb201611006.

High-Precision Calibration for Wholly Parametric Plane Linear Estimation Algorithm of Projector[J]. 2016, 50(11): 36-42. DOI： 10.7652/xjtuxb201611006.

摘要

针对投影仪光路结构复杂、主点偏差大导致高精度标定难以实现的问题

提出一种全参数平面线性估计的方法

为投影仪标定过程提供精确的主点偏差初值

实现了投影仪的全参数高精度标定。首先将投影仪作为虚拟相机

利用多频相移原理得到投影仪和标定板的坐标对应关系

然后采用两步法对非线性方程进行求解计算

通过引入向量参数的方法实现非线性方程的线性化

再利用仿射变换关系选取最优点集

得到稳定的直接参数预估算法

最后利用一种全局捆绑调整算法实现投影仪的高精度标定。采用此方法对投影仪单相机系统完成标定之后

测量了标准球以验证精度

实验表明投影仪单相机系统的平均重投影误差为0.04像素

测得标准球直径平均偏差小于0.1 mm

球心距偏差小于0.05 mm。结果证明

所提出的投影仪标定方法计算模型简单、稳定性高并具有较高的精度

适用于主点偏差较大和投影仪焦距未知的情况。

Abstract

To solve the problem that the complex optical path of projector and the large deflection of main point are difficult to meet the requirement of high-precision calibration

a wholly parametric plane linear estimation algorithm of the projector was put forward to determine the initial deviation value of main point. Thus

the wholly parametric high precision calibration of the projector can be fulfilled. Firstly

the projector is treated as a virtual camera to obtain the coordinates of the projector and the calibration board through multiple frequency phase shift principle. Secondly

a two-step method is utilized to solve the nonlinear equations. To obtain the stable direct parameter estimation

a vector parameter is introduced to solve the linearization of the nonlinear equation and an optimal point set is selected by affine transformation relationship. Finally

a global bundle adjustment algorithm is developed to implement high precision calibration of the projector. After the calibration of single camera system

the standard balls are measured to verify its accuracy. The experimental results showed that the average value of the projector-camera system's re-projection error is 0.04 pixel

and the average deviation is less than 0.1 mm in diameter and 0.05 mm in distance acquired by the standard balls. The results further indicate that the algorithm model is simple

stable and accurate. Above all

the projector calibration algorithm can be applied to the situation that the displacement of main point has a large deviation and focal length is unknown.

关键词

Keywords

references

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