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基于四元数的三维空间相似变换解算
引用本文:赵双明, 郭秋燕, 罗研, 吴巍. 基于四元数的三维空间相似变换解算[J]. 武汉大学学报 ( 信息科学版), 2009, 34(10): 1214-1217.
作者姓名:赵双明  郭秋燕  罗研  吴巍
作者单位:1武汉大学遥感信息工程学院,武汉市珞喻路129号430079;2陕西省测绘局,西安市友谊东路334号710054;3黑龙江测绘局产业发展处,哈尔滨市测绘路2号150086;4青海省第一测绘院,西宁市黄河路13号810001
摘    要:提出一种基于四元数构造旋转矩阵、解算三维空间相似变换模型的平差算法。模拟数据试验表明,该算法是稳健的,摄影测量中用四元数构造旋转矩阵具有明显的优越性。

关 键 词:四元数  旋转矩阵  三维空间相似变换  平差精度
收稿时间:2009-08-10
修稿时间:2009-08-10

Quaternion-based 3D Similarity Transformation Algorithm
ZHAO Shuangming, GUO Qiuyan, LUO Yan, WU Wei. Quaternion-based 3D Similarity Transformation Algorithm[J]. Geomatics and Information Science of Wuhan University, 2009, 34(10): 1214-1217.
Authors:ZHAO Shuangming  GUO Qiuyan  LUO Yan  WU Wei
Affiliation:1School of Remote Sensing and Information Engineering,Wuhan University,129 Luoyu Road,Wuhan 430079,China;2Bureau of Surveying and Mapping of Shanxi Province,334 East Youyi Road,Xi'an 710054,China;3Bureau of Surveying and Mapping of Heilongjiang Province,2 Cehui Road,Harbin 150086,China;4First Surveying and Mapping Institute of Qinghai Province,13 Yellow River Road,Xining 810001,China
Abstract:This paper presents solution of 3D space similarity transformation model adjustment algorithm,which is based on quaternion rotation matrix.The algorithm is not required to provide initial value and results can be calculated with high accuracy.Analog data tests have proved that the algorithm is robust.Photogrammetry using quaternion rotation matrix has a very clear superiority.
Keywords:quaternion  rotation matrix  3D similarity transformation  adjustment accuracy
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