| 附有建模误差的曲线不确定性及其可视化 |
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| 引用本文： | 蔡剑红,李德仁,朱道林.附有建模误差的曲线不确定性及其可视化[J].测绘科学,2012(1):44-46. |
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| 作者姓名： | 蔡剑红 李德仁 朱道林 |
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| 作者单位： | 中国农业大学资源环境学院;武汉大学测绘遥感信息工程国家重点实验室 |
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| 基金项目： | 国家自然科学基金(41001372) |
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| 摘 要： | 为描述复杂的现实世界对象,在GIS中将地理对象抽象和简化,建模误差必然存在,并且成为不确定性内容中的重要组成部分。本文将建模误差纳入到不确定性模型中,以三维B样条曲线为例,采用误差传播律来评估参数曲线的线位不确定性,充分体现现实世界对象的复杂性和数字表达的抽象简化的差距,进一步完善了不确定性理论。
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| 关 键 词： | 参数曲线 建模误差 误差传播律 不确定性可视化 |
Positional uncertainty and visualization of curves with modeling errors added |
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| CAI Jianhong①,LI Deren②,Zhu Daolin.Positional uncertainty and visualization of curves with modeling errors added[J].Science of Surveying and Mapping,2012(1):44-46. |
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| Authors: | CAI Jianhong① LI Deren② Zhu Daolin |
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| Institution: | ①(①College of Resources and Environmental Sciences,China Agriculture University,Beijing 100193,China;②National Laboratory for Information Engineering of Surveying,Mapping and Remote Sensing,Wuhan University,Wuhan 430079,China) |
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| Abstract: | In order to represent complex real world entities,geographic objects abstracted and simplified in GIS have modeling errors inevitably,which play an important role in uncertainty estimation.In this paper,modeling errors were considered and error promulgation law was used to estimate 3D parametric curves taking a 3D cubic B-spline curve for example.It magnifies the difference between complex of entities in the real world and simplification of geographic objects in a digital world,and it would perfect uncertainty theory. |
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| Keywords: | parametric curve modeling error error promulgation law uncertainty visualization |
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