| 任意NUBS曲线的小波分析和造型技术 |
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| 引用本文： | 刘建,关右江,秦开怀.任意NUBS曲线的小波分析和造型技术[J].中国图象图形学报,2002,7(9):894-900. |
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| 作者姓名： | 刘建 关右江 秦开怀 |
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| 作者单位： | 清华大学计算机科学与技术系 北京100084
(刘建，关右江)，清华大学计算机科学与技术系 北京100084(秦开怀) |
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| 基金项目： | 国家国家自然科学基金项目 ( 5 9875 0 47,6 98730 2 5 )，教育部高等学校博士学科点专项科研基金资助课题 ( 2 0 0 10 0 0 30 48) |
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| 摘 要： | 为了对任意NUBS曲线进行精确的分解和重构，提出了半正交B样条小波分解和重构的新算法，同时给出了处理非均匀B样条曲线的非整数阶分辨率的小波分解和重构算法，并实现了任意非均匀B样条曲线的多分辨率表示，对于任意非均匀B样条或NUBS曲线，无论它有多少个控制点，均可以对它进行半正交分解和重构，而不受控制点数必须等于2＋3的限制，从这个意义上讲，该方法不仅可以实现连续分辨率水平（continuous-resolutionlevel)的非均匀B样条曲线造型，还可以对非均匀B样条和NURBS曲线进行精确的分解和重构，这对于B样条曲线曲面的多分辨率造型与显示具有重大应用价值。
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| 关 键 词： | NUBS曲线 小波分析 造型技术 B样条曲线 多分辨率造型 图象处理 |
| 文章编号： | 1006-8961(2002)09-0894-07 |
| 修稿时间： | 7/8/2002 12:00:00 AM |
Multi-resolution NUBS Curves with Arbitrary Number of Control Points |
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| LIU Jian,GUAN You-jiang and QIN Kai-huai.Multi-resolution NUBS Curves with Arbitrary Number of Control Points[J].Journal of Image and Graphics,2002,7(9):894-900. |
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| Authors: | LIU Jian GUAN You-jiang and QIN Kai-huai |
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| Abstract: | B-spline wavelets have been widely used in multi-resolution modeling for curves and surfaces, but there are some defects in such modeling using semi-orthogonal B-spline wavelets. First, some existing algorithms for multi-resolution curves use uniform B-spline curves to approximate non-uniform B-spline(NUBS) curves. This will result in an error between the new curve and the original one. Second, the constraints in the existing algorithms specify the shape at a continuous-resolution level by interpolating those at integer-resolution levels. If the control point number of a B-spline curve does not match that of a curve at an integer-resolution, that is, 2 i 3
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| Keywords: | Wavelet B-spline curve Multi-resolution modeling |
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