摘要
测量中经常涉及坐标系生成与转换问题,以左手系为例,推导了基于任意旋转角的平面直角坐标系顺时针变换模型,该模型也适用于右手系的逆时针变换,且旋转矩阵与旋转角大小无关,和坐标轴的顺序及旋转方向有关。在此基础上,针对工程与工业测量中的空间直角坐标系的生成与变换,提出了基于任意不共线三点生成新坐标系的普适模型,该模型通过在坐标逐步变换过程的旋转参数计算中加入详细判据,从而克服传统三点法生成新坐标系对三点的分布限制,用户可以按照任意需要生成新坐标系,并将该模型应用于非量测相机标定控制场的坐标系建立,验证了模型的可靠性。
Coordinate system generation and transformation play an important role in many fields.Taking the left-hand coordinate system as an example,a clockwise transformation model is deduced based on any rotation angle for plane rectangular coordinate systems in detail.The model is also suitable for the counterclockwise transformation for the right-hand coordinate system.The study shows that the form of rotation matrix has nothing to do with the size of rotation angle,but relates to the sequences and the rotation directions of coordinate axes,which changes when one of the two sequences changes,and stays the same when both sequences change.Based on the above derivation,a universal three-point model is proposed for the generation a new spatial rectangular coordinate system.By adding the fine criterions to the rotational parameter calculation in the gradual coordinate transformation,the universal model can arbitrarily generate a new coordinate system based on non-collinear three points and realize coordinate transformation.This model breaks the distribution limitations for three points used to generate a new coordinate system in the conventional axis alignment method.Furthermore,the universal model can be applied for generating the coordinate system of control field for the calibration of a non-metric camera which has been widely used in the fields of low-altitude remote sensing and close-range photogrammetry as a photoelectric sensor.The reliability of the proposed universal model is verified.
作者
王凤艳
严学新
王明常
张旭晴
牛雪峰
王清
WANG Feng-yan;YAN Xue-xin;WANG Ming-chang;ZHANG Xu-qing;NIU Xue-feng;WANG Qing(College of Geo?Exploration Science and Technology,Jilin University,Changchun 130026,China;Key Laboratory of Land Subsidence Monitoring and Prevention,Ministry of Natural Resources,Shanghai Institute of Geological Survey,Shanghai 200072,China;College of Construction Engineering,Jilin University,Changchun 130026,China)
出处
《吉林大学学报（工学版）》
EI
CAS
CSCD
北大核心
2020年第1期324-332,共9页
Journal of Jilin University:Engineering and Technology Edition
基金
国家自然科学基金项目(41472243,4182010400)
自然资源部城市土地资源监测与仿真重点实验室开放基金项目(KF-2018-03-20)
自然资源部地面沉降监测与防治重点实验室开放基金项目(KLLSMP201901,KLLSMP201801).
关键词
测量工程
坐标系生成与转换
普适三点模型
轴对准
相机标定控制场
survey engineering
generation and transformation of coordinate system
universal three-point model
axis alignment
control field for camera calibration
