| 代数曲线曲面动态分裂采样方法 |
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| 引用本文： | 贺志民,方美娥. 代数曲线曲面动态分裂采样方法[J]. 计算机应用与软件, 2008, 25(1): 56-57,69 |
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| 作者姓名： | 贺志民 方美娥 |
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| 作者单位： | 1. 浙江林学院理学院,浙江,杭州,311300
2. 浙江大学数学系计算机图像图形研究所,浙江,杭州,310027 |
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| 基金项目： | 浙江省自然科学基金 , 浙江省自然科学基金 |
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| 摘 要： | 提出了基于随机微分方程的动态分裂采样方法,实现了对闭代数曲线曲面的均匀采样,并通过边界盒约束,建立整个空间到边界盒的连续映射实现对开放式代数曲线曲面的均匀采样.该方法最大的特点在于它对拓扑结构复杂(有自交、含两个以上的多分支或不连通)的代数曲线曲面采样同样效果很好.
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| 关 键 词： | 代数曲线曲面 随机微分方程 动态分裂采样方法 |
| 收稿时间： | 2006-01-23 |
| 修稿时间： | 2006-01-23 |
A DYNAMIC FISSION SAMPLING METHOD FOR ALGEBRAIC CURVES AND SURFACES |
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| He Zhimin,Fang Meie. A DYNAMIC FISSION SAMPLING METHOD FOR ALGEBRAIC CURVES AND SURFACES[J]. Computer Applications and Software, 2008, 25(1): 56-57,69 |
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| Authors: | He Zhimin Fang Meie |
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| Affiliation: | He Zhimin1 Fang Meie21(College of Science,Zhejiang Forestry University,Hangzhou 311300,Zhejiang,China)2(Institution of Computer Graphics , Image Processing,Department of Mathematics,Zhejiang University,Hangzhou 310027,China) |
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| Abstract: | A dynamic fission sampling method(DFS) for algebraic curves and surfaces based on stochastic differential equations is proposed.Sample points distribute uniformly on the closed curves and algebraic surfaces.Well-distributed sampling is realized on open curves and surfaces as well with boundary conditions imposed.The best point is that algebraic curves and surfaces with complex topological shape such as those with self-intersection curves,multi-branches and disconnected branches can be sampled uniformly and ... |
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| Keywords: | Algebraic courves and surfaces Stochastic differential equations Dynamic fission sampling method |
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