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引用本文:马下平. ����Լ�������Ŀռ�ƽ��Բ��������Ϸ���[J]. 大地测量与地球动力学, 2012, 32(6): 86-89
作者姓名:马下平
作者单位:同济大学测绘与地理信息学院,上海,200092
基金项目:国家自然科学基金(41074018)
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FITTING METHOD FOR SPACE PLANE CIRCLE PARAMETERS WITH CONSTRAINT CONDITIONS
Ma Xiaping. FITTING METHOD FOR SPACE PLANE CIRCLE PARAMETERS WITH CONSTRAINT CONDITIONS[J]. Journal of Geodesy and Geodynamics, 2012, 32(6): 86-89
Authors:Ma Xiaping
Affiliation:Ma Xiaping(College of Surveying and Geo-Informatics,Tongji University,Shanghai 200092)
Abstract:The traditional method for space plane circle fitting includes two steps. The first step is to determine the space plane equation and transform the coordinate system into another coordinate system where z axis is perpendicular to the space plane. Secondly, the plane equation of a circle is fitted according to the x and y coordinates. Considering the space plane circle is essentially constructed by space plane and spherical plane which is intersected, an approach which takes a space plane equation and spherical equation as the constraint condition has been put forward, which includes directly calculating space plane circle observation equation and the corresponding calculation formula. The measured data of a certain space circular object is taken as an example to verify practical application of the method.
Keywords:space plane circle  spherical equation  constraint condition  3D circular object  topocentric terrestrial coordinate system
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