| 基于Loop细分方法的曲线插值 |
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| 引用本文： | 刘晓芬,潘日晶. 基于Loop细分方法的曲线插值[J]. 福建师范大学学报(自然科学版), 2006, 22(1): 24-28 |
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| 作者姓名： | 刘晓芬 潘日晶 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建,福州,350007 |
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| 基金项目： | 福建省教育厅A类科技项目(JA05207) |
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| 摘 要： | 生成带有曲线插值约束的细分曲面,提出基于Loop细分方法的曲线插值方法,不需要修改细分规则,只需以插值曲线的控制多边形为中心多边形,向其两侧构造对称三角网格带,该对称三角网格带将收敛于插值曲线.因此,包含有该三角网格带的多面体网格的极限曲面将经过插值曲线.运用本方法可在三角网格生成的细分曲面中插值多条不相交的曲线.
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| 关 键 词： | 曲线插值 细分曲面 Loop细分 |
| 文章编号： | 1000-5277（2006）01-0024-05 |
| 收稿时间： | 2005-03-17 |
| 修稿时间： | 2005-03-17 |
Curve Interpolation Based on Loop Subdivision Scheme |
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| LIU Xiao-fen,PAN Ri-jing. Curve Interpolation Based on Loop Subdivision Scheme[J]. Journal of Fujian Teachers University(Natural Science), 2006, 22(1): 24-28 |
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| Authors: | LIU Xiao-fen PAN Ri-jing |
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| Affiliation: | School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China |
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| Abstract: | Generating subdivision surfaces with curve interpolation constrains is needed in both computer graphics and geometric modeling applications.Propose a method that needn't modify(subdivision) rules for using symmetric strip-shaped mesh to generate Loop subdivision surfaces with curve interpolation constraints.The symmetric strip-shaped mesh is constructed by designing(symmetric) triangles for both sides of the control polygon of interpolated curve.This control polygon is referred to as central polygon.It can be proved that the symmetric strip-shaped mesh can converge to the interpolated curve.So the limited surface of the given mesh with the symmetric strip-shaped mesh will contain interpolated curve.The method proposed will interpolate nonintersecting curves in the given mesh. |
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| Keywords: | curve interpolation subdivision surface loop subdivision |
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