基于B样条函数的曲面拟合改进算法

Zhan Wang, Jun Yu, Bida Su, Xiaodan Xie
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引用次数: 5

摘要

B样条函数广泛应用于计算机图形学、人工智能等工程领域的数据处理。本文利用B样条基函数,基于C-B样条基的积分递推公式,给出了3阶C-B样条基函数的显式形式。结合最小二乘理论,给出了一种曲面拟合的改进算法。数值算例表明,在精度一致的情况下,改进的C-B样条拟合算法比B样条拟合算法至少节省70%的计算时间。
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An Improved Algorithm for Surface Fitting Based on B Spline Function
The B spline function is widely applied for the data processing, such as computer graphics, artificial intelligence and other enginging. In this paper, by using the B spline basic function, an explicit form of 3-order C-B spline basic function is presented based on integral recurrence formula of the C-B spline basic. And an improved algorithm is given for surface fitting combined with least squares theory. The numerical examples indicated that in the case of consistently accuracy, the improved C-B spline fitting algorithm can save as 70% computing time as the B spline fit algorithm at least.
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