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Data visualization using rational trigonometric spline

机译:使用有理三角样条进行数据可视化

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This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. Positive, monotone, and constrained curve interpolating schemes, by using a C 1 piecewise rational cubic trigonometric spline with four shape parameters, are developed. Two of these shape parameters are constrained and the other two are set free to preserve the inherited shape features of the data as well as to control the shape of the curve. Numerical examples are given to illustrate the worth of the work.
机译:本文介绍了使用三角样条来可视化给定的平面数据。这项工作的目的是确定通过其数据点的最平滑曲线,同时满足数据的形状保留特征。通过使用具有四个形状参数的C 1分段有理立方三角样条,开发了正,单调和约束曲线插值方案。这些形状参数中的两个受到约束,另两个自由设置以保留数据的继承形状特征并控制曲线的形状。数值例子说明了这项工作的价值。

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