| 面向截面测量数据B样条曲面光顺拟合及其精度计算 |
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| 引用本文： | 曹利新,游洪,王晓明,刘健.面向截面测量数据B样条曲面光顺拟合及其精度计算[J].大连理工大学学报,2003,43(3):320-323. |
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| 作者姓名： | 曹利新 游洪 王晓明 刘健 |
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| 作者单位： | 大连理工大学,机械工程学院,辽宁,大连,116024 |
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| 基金项目： | 国家自然科学基金资助项目(50105001). |
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| 摘 要： | 分析了B样条曲线的光顺拟合方法，针对按截面测量所得数据，将B样条曲线的光顺拟合方法拓展到B样条曲面的光顺拟合，该方法能够适应各截面曲线上数据点数的不同，方法简单、易行．给出了曲面拟合精度分析的数学模型，数值计算表明，该方法效率较高．
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| 关 键 词： | 曲面拟合 拟合精度 截面测量数据 B样条曲面 光顺拟合方法 CAGD／CAD／CAM 曲面造型 |
| 文章编号： | 1000-8608(2003)03-0320-04 |
Fair fitting method of B-spline surface and computation of fitting precision for sectional points |
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| Abstract: | The fair fitting method with the least squares of the cubic B\|spline curve has been analysed. For the given data points on the different sectional curves, the fair fitting method with the least squares of the bicubic B\|spline surface is presented. This method is suitable for dealing with sectional curves with different measure data points, and can be used easily. The fitting precision of the B\|spline surface is analysed. Numerical computation indicates that the efficiency of this method is higher. |
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| Keywords: | B-spline surface fitting fitting precision sectional measure data |
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