| 基于双二次插值多项式的DEM传递误差模型 |
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| 引用本文： | 王淑萍,姚红,郑海鹰,朱长青.基于双二次插值多项式的DEM传递误差模型[J].测绘科学技术学报,2006,23(1):33-35. |
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| 作者姓名： | 王淑萍 姚红 郑海鹰 朱长青 |
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| 作者单位： | 中国科学院,测量与地球物理研究所,湖北,武汉,430077;无锡高等师范学校,江苏,无锡,214001;信息工程大学理学院,河南,郑州,450052;信息工程大学,测绘学院,河南,郑州,450052;中国科学院,测量与地球物理研究所,湖北,武汉,430077;信息工程大学,测绘学院,河南,郑州,450052 |
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| 基金项目： | 科技部科研项目
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中国科学院资助项目
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国家科技攻关项目 |
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| 摘 要： | 基于函数插值方法,得出了基于不完全双二次插值多项式的规则格网数字高程模型(DEM)的表面表达模型,并推导了相应的传递误差公式.公式表明,不完全双二次多项式的DEM传递误差与双线性多项式的传递误差相同.但由于不完全双二次多项式的DEM表面建模误差低于线性多项式的DEM表面建模误差,因此基于不完全双二次多项式的DEM表面模型具有更高的精度.
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| 关 键 词： | DEM 双二次插值多项式 传递误差 模型 |
| 文章编号： | 1673-6338（2006）01-0033-03 |
| 收稿时间： | 2005-09-07 |
| 修稿时间： | 2005-12-01 |
The Surface Propagation Error Model of DEM Based on Biquadratic Interpolation Polynomial |
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| WANG Shu-ping,YAO Hong,ZHENG Hai-ying,ZHU Chang-qing.The Surface Propagation Error Model of DEM Based on Biquadratic Interpolation Polynomial[J].Journal of Zhengzhou Institute of Surveying and Mapping,2006,23(1):33-35. |
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| Authors: | WANG Shu-ping YAO Hong ZHENG Hai-ying ZHU Chang-qing |
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| Affiliation: | 1.Institute of Geodesy and Geophysics, Chinese Academy of Science, Wuhan 430077, China 2. Wuxi Teachers College, Wuxi 214001, China; 3.Institute of Science, Information Engineering University, Zhengzhou 450052, China; 4.Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China |
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| Abstract: | Based on the interpolation method, a model to represent the surface of a grid DEM based on biquadratic interpolation polynomial is obtained, and a propagation error formula by the polynomial is derived. The formula shows that the propagation error from biquadratic polynomial is the same as the error from linear polynomial. But the model error by biquadratic polynomial is smaller than the error by linear polynomial, hence the accuracy based on biquadratic polynomial is better than the accuracy based on linear polynomial. |
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| Keywords: | DEM biquadratic interpolation polynomial propagation error model |
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