| 测地主题正反解解算 |
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| 引用本文： | 施一民,朱紫阳,方胤祺.测地主题正反解解算[J].测绘工程,2003,12(1):9-12. |
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| 作者姓名： | 施一民 朱紫阳 方胤祺 |
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| 作者单位： | 同济大学测量与国土信息工程系,上海,200092 |
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| 基金项目： | 国家自然科学基金资助项目(49971067) |
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| 摘 要： | 由测地坐标系中大地线的微分方程式推导出其微分关系式，得出在地球椭球面上基于测地坐标进行正反解的算法和公式，它与大地主题解算公式相比，更为简捷明了。由实际计算数据表明，对于100km以下的距离解算，它亦能达到相当高的精度。因此测地坐标的点位表述不仅可用于DEM和GIS三维可视化，也可用于三维GIS建模以及空间度量和分析。
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| 关 键 词： | 测地坐标系 方向角 微分方程式 DEM GIS 数字高程模型 |
| 文章编号： | 1006-7949(2003)01-0009-04 |
The direct and inverse solution of geodesic problem |
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| SHI Yi-min,ZHU Zi-yang,FANG Yin-qi.The direct and inverse solution of geodesic problem[J].Engineering of Surveying and Mapping,2003,12(1):9-12. |
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| Authors: | SHI Yi-min ZHU Zi-yang FANG Yin-qi |
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| Abstract: | Based on theories of differential geometry and geodesy,the paper presents differential rela-tionship of geodesic lines in geodesic coordinate system and deduces the algorithms and formulas for di-rect and inverse solution of geodesic problem.Compared with those formulas for solution of geodesic problem,these formulas are more convenient and accurate enough for the region of middle size,which has been demonstrated by data examples.Accordingly,it is concluded that geodesic coordinate system can be adopted in modelling,visualization and spatial analysis of GIS. |
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| Keywords: | Direct and inverse solution of geodesic problem The first differential relationship of goedesic line Direction angle in geodesic coordinate system |
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