English
资源说明：
Curve Fitting
jpp30@pitt.edu
20 March 2012
INTRODUCTION
This project implements a Lagrange Polynomial and a Cubic Spline for a set of points in the plane. Specifically, given a set of uniformly distributed points (with x-coordinates 0, 1, 2, etc.), the program fits the following curves to them:
The Lagrange Polynomial.
A Cubic Spline.
The program fits and graphically displays curves for up to a few dozen points (although the Lagrange Polynomial might not look very good due to the high-degree terms).
FILES
The following files should be present:
Lagrange.java - Lagrange class, to do Lagrange interpolation
Spline.java - Spline class, to calculate cubic spline
Graph.java - Graph class, to graph points
Polynomial.java - Polynomial class, to evaluate polynomials
DemonstrateCurveFitting.java - Test file for Lagrange and Spline classes
USAGE
Compile in Java 2 SDK 1.6 with:
javac DemonstrateCurveFitting.java
Run with:
java DemonstrateCurveFitting
KNOWN PROBLEMS
Lagrange interpolation does not work well for more than 15 points due to the high degree terms, but Lagrange Interpolation should really only be used for a small number of points so this is relatively trivial.
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