| 复杂组合曲线的设计与拟合——重节点B样条法 |
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| 引用本文： | 姚傲秋,周儒荣,丁秋林.复杂组合曲线的设计与拟合——重节点B样条法[J].航空学报,1983,4(1):95-102. |
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| 作者姓名： | 姚傲秋 周儒荣 丁秋林 |
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| 作者单位： | 南京航空学院
(姚傲秋，周儒荣)，南京航空学院(丁秋林) |
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| 摘 要： | 本文在非均匀B样条的基础上,采用重节点方法设计和拟合复杂组合曲线。对于各种不同的重节点情况,解决了反求特征多边形顶点时线性方程组的降秩问题,并建立了统一表达式。由于考虑到使用中可能遇到的各种情况,程序通用性强,使用方便,能快速地拟合、设计、修改复杂组合曲线,为计算机辅助几何设计与绘图中应用B样条提供了一种具有较大灵活性的方法。
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| 收稿时间： | 1982-04-01; |
COMPLEX COMBINED CURVE DESIGN AND FITTING——A B-SPLINE MULTIPLE KNOT METHOD |
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| Yao Aoqiu,Zhou Rurong,Ding Qiulin.COMPLEX COMBINED CURVE DESIGN AND FITTING——A B-SPLINE MULTIPLE KNOT METHOD[J].Acta Aeronautica et Astronautica Sinica,1983,4(1):95-102. |
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| Authors: | Yao Aoqiu Zhou Rurong Ding Qiulin |
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| Institution: | Nanjing Aeronautical Institute |
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| Abstract: | A multiple-knot method based on a non-uniform B-spline is adopted to design and fit complex combined curves.We have solved the problem of reducing the order in a linear equation set for varieties of multiple knots in inverse calculation for the vertices of a characteristic polygon and obtained an unified expression.The program provided in this paper is flexible and convenient for fitting,designing and modifying complex combined curves quickly in every possible case.This method can offer a more universal tool for using the B-spline in computer-aided geometric design and drawing. |
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