Application of quaternion matrix in resolution of aerospace camera image plane position

LIU Yan-bin; XU Hui; XU Chang-ji; AN Yuan; WANG Zhi; JIN Guang

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Application of quaternion matrix in resolution of aerospace camera image plane position

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- Application of quaternion matrix in resolution of aerospace camera image plane position
- Optics and Precision Engineering Vol. 12, Issue 2, Pages: 136-140(2004)
- 作者机构：
  
  1. 中国科学院, 长春光学精密机械与物理研究所, 吉林, 长春, 130033
  2. 长春理工大学, 吉林, 长春, 130022
- 作者简介：
- 基金信息：
- DOI：
  CLC： V447.3
- Received：20 November 2003，
  
  Revised：07 February 2004，
  
  Published Online：15 April 2004，
  
  Published：15 April 2004
- 稿件说明：
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刘延斌, 许晖, 徐长吉, 安源, 王智, 金光. 四元数矩阵在航天相机像面位置求解中的应用[J]. 光学精密工程, 2004,(2): 136-140

LIU Yan-bin, XU Hui, XU Chang-ji, AN Yuan, WANG Zhi, JIN Guang. Application of quaternion matrix in resolution of aerospace camera image plane position[J]. Editorial Office of Optics and Precision Engineering, 2004,(2): 136-140
刘延斌, 许晖, 徐长吉, 安源, 王智, 金光. 四元数矩阵在航天相机像面位置求解中的应用[J]. 光学精密工程, 2004,(2): 136-140 DOI：

LIU Yan-bin, XU Hui, XU Chang-ji, AN Yuan, WANG Zhi, JIN Guang. Application of quaternion matrix in resolution of aerospace camera image plane position[J]. Editorial Office of Optics and Precision Engineering, 2004,(2): 136-140 DOI：

摘要

研究了四元数矩阵在航天相机像面位置求解中的应用.提出了一种功能等同于齐次旋转变换矩阵的改进的四元数变换矩阵

并依据多体系统理论

利用改进的四元数变换矩阵和齐次坐标变换矩阵两种方法推导出了对应于地面景物的两种航天相机的像面位置模型

阐述了利用四元数实时求解的算法来获得各像点的像面位置的实时解的方法.同时对这两种求解方法进行了计算机模拟.结果证明

利用改进的四元数变换矩阵方法的求解速度比利用齐次坐标变换矩阵的方法快一些.

Abstract

An improved quaternion transformation matrix with function equal to that of corresponding uniform rotation linear coordinate transformation matrix is proposed

and the equation of the corresponding ground scenery position in image plane is derived using the quaternion transformation method and the uniform linear coordinate transformation method and the real-time resolution method for corresponding ground scenery position in image position is derived using real-time resolution method for quaternion. Computer simulations made for the two solution methods proves that the solution speed of improved quaternion matrix arithmetic is faster than that of the coordinate transformation arithmetic.

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references

姜景山.空间科学与应用[M] .北京:科学出版社,2001.JIANG J SH. Space science and application . [M] Beijing: Science Press,2001.(in Chinese)

颜昌翔,王家骐.航天相机像移补偿计算的坐标变换法[J] .光学精密工程,2000,8(6):50-54.YAN CH X, WANG J Q. Method of coordinate transformation for IM ＆ IMC calculation in aerospace camera system[J] .Optics and Precision Engineering, 2000,8(6):50-54.(in Chinese)

丁福建,李英才.CCD相机像移的补偿[J] .光子学报,1998,27(10):941-948.DING F J, LI Y C. Forward motion compensation of CCD camera by means of computer software[J] . Acta Photonica Sinica,1998,27(10):941-948.(in Chinese)

李友一.空间相机中的偏流角控制[J] .光学精密工程,2002,10(4):402-406.LI Y Y. Study of the drift angle control in a space camera[J] . Optics and Precision Engineering, 2002,10(4):402-406.(in Chinese)

沈为民,薛鸣球,余建军.长波红外广角地平仪镜头的光学设计[J] .光学精密工程,2002,10(4):329-332.SHEN W M, XUE M Q, YU J J. Optical design of a wide-angle lens for long-wave infrared earth sensors[J] . Optics and Precision Engineering, 2002,10(4): 329-332.(in Chinese)

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