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一种基于TIN的DEM表面C1光滑插值模型
引用本文:范家明,陶大欣,朱建青,朱长青.一种基于TIN的DEM表面C1光滑插值模型[J].测绘科学技术学报,2007,24(3):179-181.
作者姓名:范家明  陶大欣  朱建青  朱长青
作者单位:信息工程大学,理学院,河南,郑州,450001;信息工程大学,测绘学院,河南,郑州,450052
摘    要:根据原始地形起伏变化的连续光滑性以及邻近数据点之间的相关性,研究了基于TIN的DEM表面光滑插值模型.首先,运用二元二次多项式曲面加权平均的办法,提出了一种基于TIN的具有C1光滑性的DEM表面插值模型;然后,利用数学曲面对模型的精度进行了评估,并对实际地形进行了插值表示.结果表明,提出的表面插值模型具有较好的精度和光滑效果.

关 键 词:DEM  TIN  表面模型  光滑性  精度
文章编号:1673-6338(2007)03-0179-03
收稿时间:2006-12-05
修稿时间:2006-12-052007-03-29

Surface Smooth Interpolation Model with C1 Continuities of DEM Based on TIN
FAN Jia-ming,TAO Da-xin,ZHU Jian-qing,ZHU Chang-qing.Surface Smooth Interpolation Model with C1 Continuities of DEM Based on TIN[J].Journal of Zhengzhou Institute of Surveying and Mapping,2007,24(3):179-181.
Authors:FAN Jia-ming  TAO Da-xin  ZHU Jian-qing  ZHU Chang-qing
Institution:1. Institute of Science, Information Engineering University, Zhengzhou 450001, China, 2. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China
Abstract:This paper studies how to build the smooth surface model of DEM based on TIN. Firstly, the surface patch on each triangle is constructed by the weighted combination of the three quadric patches at the vertices of the triangle. And a model of surface interpolation with continuities of DEM is given based on TIN. Then a mathematical surface is used to evaluate the accuracy of the model, and the model is applied to the representation of actual terrain. The result shows the model proposed with high accuracy and good smooth characteristic.
Keywords:DEM  TIN  surface model  smooth  accuracy
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