Open AccessConstruct Polynomial of Degree n by Using Repeated Linear Interpolation
Author(s) -
Mousa M. Kkhrajan,
Yaseen Merzah Hemzah
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/928/4/042009
Subject(s) - interpolation (computer graphics) , linear interpolation , polynomial interpolation , degree (music) , mathematics , polynomial , construct (python library) , degree of a polynomial , point (geometry) , algorithm , computer science , computer graphics (images) , geometry , mathematical analysis , animation , programming language , physics , acoustics
In this paper the fundamental concept of repeated linear interpolation and its possible applications in computer-aided geometric design, and start considering basic constructive methods for curves and surfaces. We discuss here a repeated linear interpolation method that we commonly find in computer graphics and geometric modelling. Repeated linear Interpolation means to calculate a polynomial by using several points. For a given sequence of points, this means to estimate a curve that passes through every single point. The purpose of this paper is to construct a polynomial of degree less than or equal to n, by using repeated linear Interpolation.