The Application of Interpolation Method in the Design of Automobile Door Curve

Li-jun Sun, Hua-Xi Chen, Gui-Xiu Tao
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Abstract

In engineering product design, modeling and drawing design, and in the study of the law of numerical changes in real life, people often encounter the unknown geometric curve processing problems, that is, to extract the geometric curve functions contained in some discrete points by mathematical methods. This paper mainly introduces the Lagrange interpolation method and the Newton interpolation method, calculation method and the basic idea of its convergence, verified by the use of discrete point interpolation method for the feasibility of curve fitting, and combined with the practical problems of mathematics modeling method, using interpolation method in car door design, the application of curve compared the advantages and disadvantages of the two methods, make us more profound and comprehensive understanding of the interpolation method, for its future in social production, modelling design provides important application basis.
插值法在汽车车门曲线设计中的应用
在工程产品设计、建模和图纸设计中,以及在现实生活中数值变化规律的研究中,人们经常会遇到未知的几何曲线处理问题,即用数学方法提取包含在一些离散点中的几何曲线函数。本文主要介绍了拉格朗日插值法和牛顿插值法的计算方法及其收敛性的基本思想,验证了采用离散点插值法进行曲线拟合的可行性,并结合实际问题的数学建模方法,采用插值法在车门设计中,对曲线应用两种方法的优缺点进行了比较。使我们对插值方法有更深刻、全面的认识,为其今后在社会生产、造型设计中提供重要的应用依据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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