| 三角网格上五次齐次代数曲面的重构 |
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| 引用本文： | 厉玉蓉,张彩明,董付国. 三角网格上五次齐次代数曲面的重构[J]. 计算机辅助设计与图形学学报, 2008, 20(9) |
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| 作者姓名： | 厉玉蓉 张彩明 董付国 |
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| 作者单位： | 山东大学计算机科学与技术学院,济南,250061;山东工商学院信息与电子工程学院,烟台,264005;山东大学计算机科学与技术学院,济南,250061 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 提出三角网格上重建代数曲面的一种方法,利用三次控制曲面来构造五次具有"齐次"形式的GC<'1>光滑曲面,所构造的代数曲面具有2次精度、局部性好、计算量低、自由参数几何意义明确的优点;而且这个五次代数曲面在与一簇特殊的平面相交时,交线为一个四次代数曲线和一条直线,从而化简了这类曲面参数化的计算量.
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| 关 键 词： | 控制曲面 代数曲面 曲面重构 三角网格 |
Reconstructing Five Degree Algebraic Surface with Homogeneous Coefficient over Triangular Meshes |
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| LI Yurong,Zhang Caiming,Dong Fuguo. Reconstructing Five Degree Algebraic Surface with Homogeneous Coefficient over Triangular Meshes[J]. Journal of Computer-Aided Design & Computer Graphics, 2008, 20(9) |
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| Authors: | LI Yurong Zhang Caiming Dong Fuguo |
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| Affiliation: | LI Yurong1,2) Zhang Caiming1) Dong Fuguo1,2)1)(Department of Computer Science , Technology,Sh,ong University,Ji'nan 250100)2)(The Information Electronic Engineering School,Sh,ong Institute of Business , Technology,Yantai 264005) |
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| Abstract: | In this paper, we present a new method for constructing five degree algebraic surface in homogeneous form using the cubic control surfaces over triangular meshes. The method has the features of quadratic precision, local shape control, efficient calculation, and straight forward geometric interpretation. Futher, intersections between such degree 5 algebraic surface and a class of proper planes can be a 4 degree algebraic curve and a line, and this simplies the parameterization of the algebraic surface. |
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| Keywords: | control surfaces algebraic surfaces GC 1 continuity triangular patches |
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