Spline Length

by Nicolas Saavedra

Submitted : Fall 2008

This project deal with the difference between two curves: a Spline and an Interpolating Polynomial. In this project the person created a function where he picked random several points. With these points, he used Mathematica 5.1 to create an interpolating polynomial and a Cubic Spline. Due to machine-computing limitations, the first method did not work, so he used an alternate method that dealt with derivatives and graphic comparison. At the end of the project he concluded that it is more efficient to use Spline curves when trying to achieve the shortest length possible, as opposed to high order interpolating polynomials that give oscillating results and create greater lengths.

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