基于三视图的曲面体重建技术 |
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引用本文: | 张爱军,诸昌钤,薛勇. 基于三视图的曲面体重建技术[J]. 计算机研究与发展, 2002, 39(11): 1423-1428 |
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作者姓名: | 张爱军 诸昌钤 薛勇 |
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作者单位: | 1. 中国科学院遥感应用研究所开放实验室,北京,100101 2. 西南交通大学计算机与通信工程学院,成都,610031 |
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基金项目: | 中国科学院“百人计划”项目,中国科学院知识创新工程“数字地球基础理论问题研究”项目基金资助 ( KZCX2 -312 ) |
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摘 要: | 根据空间二次曲线的投影特征,首先利用“五点法”分两步来构造投影曲线,得到投影二次曲线的几何参数表达式,然后应用“点对应匹配法”由各视图相应的投影曲线构造空间二次曲线的坐标式参数方程,并同时构造出空间曲线边的支撑平面,从而建立与三视图相对应的曲面体线框模型,最后,提取线框模型中的面信息,并根据二流形体的性质和莫比乌斯法则(Moebius rule)以及正投影规律,对候选面进行组合判定,将实用面进行装配,得到重建结果的实体模型,这种方法将处理对象拓展到了任意投影方位下的二次曲线。
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关 键 词: | 三视图 曲面体重建 正投影 二次曲线 线框模型 实体模型 计算机图形学 CAD |
RECONSTRUCTION OF CURVILINEAR 3D OBJECTS FROM ORTHOGRAPHIC VIEWS |
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Abstract: | A method for reconstructing solids with quadric surface from orthographic views is presented. First, the wire-frame model corresponding to the three orthographic views is constructed. In order to generate 3D conic edges in the wire-frame model, a five-point method is firstly utilized to obtain the algebraic representations of all 2D-projection curves in each view, and then all algebraic forms are converted to the corresponding geometric forms analytically. The locus of a 3D conic edge can be derived from the geometric forms of the relevant conic curves in three views, and the relationship between a 3D conic and its orthographic projections is established. In addition, the support plane of each 3D conic edge is created. Finally, all possible faces are searched within the wire-frame model, and all true faces are found to assemble the final solids according to the properties of 2-manifolds, Moebius rule and the characteristics of orthographic projections. The method extends the range of objects to be reconstructed and imposes no restriction on the axis of the quadric surface. |
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Keywords: | orthographic projection 3D reconstruction conic wire-frame model solid model |
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