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为了比较用分段三次埃尔米特插值导出三次样条插值和用二阶导数建立三次样条插值在matlab执行时间上的优劣性,对两种建立三次样条插值的方法进行分析;将两种建立方法通过matlab程序实现并结合实例验证,试验结果表明用二阶导数建立三次样条插值在matlab运行时间上具有优越性。该结果可为三次样条插值在实践中的应用提供参考。
In order to compare the cubic spline interpolation with the cubic Hermite interpolation and the cubic spline interpolation with the second derivative to compare the advantages and disadvantages of the time of matlab implementation, two methods of establishing the cubic spline interpolation are analyzed. The two methods were established by matlab program and verified with examples. The experimental results show that the cubic spline interpolation with second derivative has superiority in matlab running time. The result can provide a reference for the application of cubic spline interpolation in practice.