内投式球幕投影系统的实现算法  

Implementation algorithm of spherical screen projection system via internal projection

作　　者：陈珂[1] 吴建平[1] 

机构地区：[1]苏州市职业大学江苏省现代企业信息化应用支撑软件工程技术研发中心,江苏苏州215104

出　　处：《计算机应用》2014年第3期810-814,819,共6页journal of Computer Applications

基　　金：国家自然科学基金资助项目(41201338);苏州市科技计划项目(SGZ2012061;SGZ2013132;SZS201201);苏州市职业大学预研基金资助项目(2012SZDYY05;2012SZDYY06);江苏省现代企业信息化应用支撑软件工程技术研发中心基金资助项目(SX201203)

摘　　要：针对内投式球幕投影中涉及的计算机处理过程,提出了基于虚拟球面变换和虚拟鱼眼透镜投射的内投式球幕投影算法,并针对不规则鱼眼透镜导致的球幕映像扭曲,提出了基于等立体角投影函数的六阶函数校正算法,该六阶函数的系数可通过简单求解六元一次方程获得。实验结果表明,该方法能完全消除不规则鱼眼透镜导致的球幕投影扭曲。针对球幕投影导致的图像亮度分布变异提出了基于投射角余弦修正的球幕光强校正算法。实验结果表明,该算法成功地把与输入二维图像亮度分布差异明显的球幕投影图像校正至与原始图像亮度分布高度一致的状态。该方法对球幕投影系统的设计和软件开发具有重要的理论指导意义和实践应用价值。Addressing the issue of computer processing in the internal spherical screen projection, an internal spherical screen projection algorithm was proposed based on virtual spherical transform and virtual fisheye lens mapping. Concerning the spherical screen output distortion caused by irregular fisheye projection, a sextie polynomial of distortion correction algorithm based on the equal-solid-angle mapping function was presented to approximate any fisheye mapping function to eliminate the distortion. The six coefficients of the polynomial could be obtained via solving a linear algebra equation. The experimental results show this method is able to completely eradicate the spherical screen projection distortion. Addressing the illumination distribution modification stemming from the spherical screen projection, an illumination correction algorithm based on the cosine of the projecting angles was also proposed to eliminate the illumination distribution change. The experimental results show the illumination distribution correction method successfully recovers the originally severely modified illumination distribution into the illumination distribution almost identical to the original picture. This algorithm has theoretical instructive importance and significant practical application values for design and software development of the spherical projection systems.

关 键 词：球幕投影 鱼眼透镜 虚拟球面 鱼眼投影函数 鱼眼畸变校正 

分 类 号：TP399[自动化与计算机技术—计算机应用技术]