| NURBS曲面和隐式曲面求交的局部加密算法 |
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| 引用本文： | 王川.NURBS曲面和隐式曲面求交的局部加密算法[J].科学技术与工程,2013,13(17):4826-4832. |
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| 作者姓名： | 王川 |
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| 作者单位： | 华南理工大学 |
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| 基金项目： | 国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 摘 要： | 基于等值线法求取NURBS曲面与隐式曲面交线的原理,提出了一种局部加密的改进算法。通过局部加密算法减少正则网格单元顶点处h值计算数目。采用拟牛顿迭代法求交点、B样条曲线拟合参数域上的交线等改进算法,提高了NURBS曲面与隐式曲面求交算法的效率和精度,并通过MATLAB编程进行了验证。
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| 关 键 词： | NURBS曲面 隐式曲面 求交算法 局部加密算法 |
| 收稿时间： | 2/25/2013 8:02:13 PM |
| 修稿时间： | 3/20/2013 3:20:05 PM |
A local refinement algorithm for NURBS surface and implicit surface intersection |
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| Wang Chuan.A local refinement algorithm for NURBS surface and implicit surface intersection[J].Science Technology and Engineering,2013,13(17):4826-4832. |
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| Authors: | Wang Chuan |
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| Institution: | 1(Department of Navy Architecture and Ocean Engineering,School of Civil Engineering and Transportation,South China University of Technology 1,Guangzhou 510641,P.R.China;School of Computer Science,Engineering and Mathematics,Flinders University 2,Adelaide 5042,Australia) |
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| Abstract: | An improved local refinement algorithm for NURBS surface and implicit surface intersection is introduced in this research. By using the local refinement algorithm to reduce the number of value calculation in the place of unit vertex, using Quasi-Newton iteration method for intersection point and using B spline to fit the intersection line in parameter domain, the efficiency and accuracy of the algorithm has greatly improved especially with dense regular meshes, compared with the whole meshes traversal algorithm. This paper also provides an example of NURBS surface and one wave surface intersection using local refinement algorithm based on Matlab platform. |
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| Keywords: | NURBS surface implicit surface intersection algorithm local refinement algorithm |
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