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战场大地形空间格网点的高斯曲率算法研究及可视化
引用本文:刘世彬,刘兴彦,刘央瑞.战场大地形空间格网点的高斯曲率算法研究及可视化[J].火力与指挥控制,2009,34(12).
作者姓名:刘世彬  刘兴彦  刘央瑞
作者单位:沈阳炮兵学院,辽宁,沈阳,110162
基金项目:国家自然科学基金资助项目 
摘    要:论述了在细节层次模型简化技术中,空间格网点的高斯曲率的计算方法,以及在.NET平台下如何用C#语言对算法进行编程.然后依照此算法得出格网点曲率值的大小,删除曲率小的中心点并对删除中心点后留下的空洞进行三角化,从而实现细节层次模型的简化.为体现算法的效果,应用高斯曲率算法将全细节的三维地形模型实现了细节层次模型的可视化,并提出用曲率的几何性质来对算法进行了误差分析,将其结果与其他算法进行了比较.通过实例和误差分析,其结果表明此算法速度快且效果好.

关 键 词:细节层次模型  Voronio图  高斯曲率  可视化

Research and Visualization for the Gaussian Curvature Operator of 3-D Mesh Points
LIU Shi-bin,LIU Xing-yan,LIU Yang-rui.Research and Visualization for the Gaussian Curvature Operator of 3-D Mesh Points[J].Fire Control & Command Control,2009,34(12).
Authors:LIU Shi-bin  LIU Xing-yan  LIU Yang-rui
Abstract:This paper proposes Gaussian Curvature operator for 3-D mesh point on technology simplifying Level of Detail (LOD) model, and how to realize these operators with C# procedure on . NET Platform. Then delete the mesh central point of the less curvature value and convert the remaining inanition to triangle according to the curvature value of this operator, and realize simplification of LOD model. The paper also realizes the visualization from the whole level model of 3-D terrain to the LOD model, and analyzes error of the operators used on geometric attributes of curvature, and compares these operators with other operators. The example and the result of analyzing error appear the operators are good and sharp.
Keywords:LOD  voronio diagrams  gaussian curvature  visualization
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