| 一种对称非均匀细分曲面算法 |
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| 引用本文： | 沈培强.一种对称非均匀细分曲面算法[J].计算机光盘软件与应用,2012(3):149-150,148. |
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| 作者姓名： | 沈培强 |
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| 作者单位： | 合肥工业大学数学学院,合肥,230009 |
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| 基金项目： | 高等学校博士学科点专项科研基金(新教师基金课题)“混合型自由曲线曲面造型方法研究”，安徽省自然科学基金项目、非线性插值样条及其应用(090416232) |
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| 摘 要： | 为了得到能更好应用于CAD系统的细分曲面造型方法,提出一种基于B-样条的对称非均匀细分算法,其中的思想和均匀Lane-Riesenfeld节点插入算法相似。基于B-样条的节点插入算法,以Blossoming为工具,计算出细分后的新控制顶点。细分后得到的极限曲面由张量积样条曲面组成,在奇异点达到2C连续。与传统的细分曲面算法相比,该细分曲面算法具有良好的局部支撑性,大大降低了算法的复杂度,而且该算法是对称的,不用考虑定向问题。
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| 关 键 词： | 非均匀 细分曲面 非均匀有理B-样条 Lane-Riesenfeld 插入节点 |
A Symmetric and Non-uniform Subdivision Surfaces Algorithm |
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| Authors: | Shen Peiqiang |
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| Affiliation: | Shen Peiqiang (School of Mathematics of HeFei University of Technology,Hefei 230009,china) |
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| Abstract: | In order to get a subdivision algorithm which was more compatible with NURBS,presented a non-uniform subdivision algorithm which share similar properties with Lane-Riesenfeld refine and smooth construction.The algorithm was based on knot insertion algorithm of B-splines and was expressed in terms of blossoming.After subdivision,get a limit surface consisting of tensor-product splines and was 2 C at extraordinary points.Compared with the conventional subdivision surfaces algorithm,ours was locally supported that largely reduced the complexity of algorithm,and the algorithm is symmetric,avoiding the problem of direction-orientation. |
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| Keywords: | Non-uniform Subdivision surfaces NURBS Lane-Riesenfeld Knot insertion |
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