四元数的核线影像生成方法  

A method of pipolar image generation based on quaternion

作　　者：肖晖[1,2] 张斌[3] 马艳[2] 

机构地区：[1]安徽大学资源与环境工程学院,合肥230601 [2]南京晓庄学院环境科学学院,南京211171 [3]南京航空航天大学航天学院,南京210016

出　　处：《测绘科学》2016年第10期58-62,共5页Science of Surveying and Mapping

基　　金：国家自然科学基金项目(41101441;41301512);2015年地方高校国家级大学生创新创业训练计划项目

摘　　要：针对现有核线影像生成方法计算量大、计算复杂等缺点,该文提出了一种基于四元数的核线影像生成算法,建立了四元数核线影像模型。推导了四元数共面条件方程线性化误差方程式,在此基础上依次利用两个四元数消除基线分量,实现了原始影像到核线影像的坐标变换;相比于传统欧拉角核线排列算法,四元数在实现姿态描述唯一性的同时避免了繁琐的三角函数计算。利用航空影像和无人机影像进行实验,建立的核线影像上下平均视差在0.4个像素以内,核线影像前方交会的平面和高程精度优于1m,结果表明四元数核线影像模型基本上消除了上下视差,能够满足摄影测量立体观测的要求。Aiming at the sh ngs of heavy computation and complex computation in the existing epipOlar line array algorithms, an array algorithm for epipolar line based on quaternion was proposed and a model for quaternion epipolar images was established in this paper. After the quaternion coplanarity condition equation linearization error equation was deduced, two quaternions were applied to eliminate the base- line component, and the coordinate transformation from original image to epipolar image was obtained. Compared with the traditional Euler angle epipolar alignment algorithm, quaternion could avoid tedious trigonometric function calculation with the realization of the uniqueness in the description of the attitude at the same time. Experiments were conducted by the application of aerial images and UAV images, the mean vertical parallax of epipolar images thus established was within0.4 pixel; the planar and vertical accuracy of forward intersection for epipolar images was better than 1 m. Test results showed that vertical parallax was basically eliminated by the epipolar line array algorithm model based on quaternion, which could meet the requirements of stereoscopic observation in photogrammetry.

关 键 词：四元数 核线排列 摄影测量 欧拉角 共面条件方程 

分 类 号：P23[天文地球—摄影测量与遥感]