File:Hermite interpolation.svg

Uploaded by Pberndt
Upload date 2011-02-25T08:41:40Z
MIME type image/svg+xml
Dimensions 694 × 694 px
File size 39.8 KB

Summary

Description
English: Example for Hermite interpolation. This version shows the smooth approximation in , see File:Hermite.svg for a version which only approximates continuously.
Date
Source Own work
Author Pberndt

Created using Maple with the following commands:

with(Statistics); with(plots); Xs := `<,>`(-2, -1, .5, 1, 2); Ys := `<,>`(-1, 3, 0, -3, -3);
f := Fit(a*x^4+b*x^3+c*x^2+d*x+e, Xs, Ys, x); display(plot(f, x = -2 .. 2, color = black, numpoints = 2000), plot(Xs, Ys, 
style = point), plot((eval(diff(f, x), x = .5))*(x-.5), x = -2 .. 2, linestyle = dash, color = red), plot(`<,>`(.5, .5),
`<,>`(-10, 10), color = black, linestyle = dot), gridlines, view = [-1 .. 2, -5 .. 5])

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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25 February 2011

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Category:CC-Zero Category:Charles Hermite Category:Images with Maple source code Category:Interpolation Category:Numerical analysis Category:Self-published work