多投影仪显示系统的几何失真校正方法  

Calibration method of geometric distortion for multi-projector displays

作　　者：寇勇[1] 刘直芳[1,2] 

机构地区：[1]四川大学计算机学院,四川成都610065 [2]四川大学视觉合成图形图像技术国防重点学科实验室,四川成都610065

出　　处：《计算机工程与设计》2011年第9期3187-3190,共4页Computer Engineering and Design

基　　金：国家863高技术研究发展计划基金项目(2007AA01Z328;2009AA01Z332);国家自然科学基金项目(60832011)

摘　　要：为了解决在直接获取投影墙与摄像机间几何关系较困难情况下的系统的几何失真问题,提出了基于矩阵分解和消除投影墙坐标系的自由度来获取校正参数的方法。通过系列矩阵分解和推理,得出了影响投影墙与摄像机间的几何关系的因素。在此基础上,通过消除投影墙坐标系的自由度,从2个投影仪与摄像机的几何关系求出了投影墙与摄像机间的几何关系的多个可能解,同时通过筛选算法从多个可能解中筛选出最优解,从而最终得到投影仪与投影墙间的几何关系。最后利用该几何关系对帧缓存中图像进行预扭曲以实现几何失真的校正。实验结果表明,该方法具有较好的校正效果。To solve the problem of the geometric distortion in the case of failing to directly obtain the relationship between the screen and the camera,a method of obtaining the calibration parameters based on the matrix decomposition and eliminating the degrees of freedom of the screen coordinate is presented.Firstly,the influence factors of relationship between the screen and the camera are gained by the matrix decomposition and reasoning.All possible solutions of relationship between the screen and the camera can be computed from only 2 corresponding relationship between the projector and the camera by eliminating the degrees of freedom,and the refining algorithm of finding optimal solution is presented,and so the relationship between the projector and the screen is gained successfully.Finally,this relationship is adopted to pre-distort the image in the frame butter.the effectiveness of the proposed method is confirmed by several experimental results.

关 键 词：矩阵分解 自由度 几何失真 可能解 帧缓存 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]