Image:Interpolation example spline.svg

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Interpolation_example_spline.svg‎ (SVG file, nominally 600 × 480 pixels, file size: 13 KB)

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Summary

Description	IIllustration of spline interpolation of a data set. The same data set is used for other interpolation algorithms in the Interpolation.
Source	self-made in
Date	26 June 2007
Author	Berland
Permission ( Reusing this image)	see below

Based on png-version by User:Jitse Niesen (with gnuplot source code), and on svg-version by User:Cronholm144.

Gnuplot source code

set terminal svg fname "Vera" fsize 25
set output "Interpolation_example_spline.svg"
set key off
set xzeroaxis
set xtics axis 1,1
set ytics nomirror 1
set samples 300
set border 2
f(x) = (x >= 0 && x < 1) ? -0.1522*x**3 + 0.9937*x : \
       (x >= 1 && x < 2) ? -0.01258*x**3 - 0.4189*x**2 + 1.4126*x - 0.1396 : \
       (x >= 2 && x < 3) ? 0.1403*x**3 - 1.3359*x**2 + 3.2467*x - 1.3623 : \
       (x >= 3 && x < 4) ? 0.1579*x**3 - 1.4945*x**2 + 3.7225*x - 1.8381 : \
       (x >= 4 && x < 5) ? 0.05375*x**3 -0.2450*x**2 - 1.2756*x + 4.8259 : \
                           -0.1871*x**3 + 3.3673*x**2 - 19.3370*x + 34.9282 
set yrange [-1.1:1.1]
plot f(x) with lines linetype 3 linewidth 4, \
     "-" with points linetype 1 pointtype 7 pointsize 0.7,\
         0 with lines linetype -1 linewidth 1
0 0
1 0.8415
2 0.9093
3 0.1411
4 -0.7568
5 -0.9589
6 -0.2794
e

Please use at least version 4.2 of Gnuplot for smooth lines in SVG.

License

I, Berland, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Dimensions	User	Comment
current	21:02, 25 June 2007	600×480 (13 KB)	Berland	({{Information \|Description=Illustration of spline interpolation on a data set, compared with other interpolation methods in the article Interpolation. Based on png-version by User:Jitse Niesen and svg)
	15:30, 23 June 2007	429×425 (14 KB)	Cronholm144	({{Information \|Description=Interpolation example spline \|Source=self-made \|Date=06-23-07 \|Author= Cronholm144 }} )

File links

The following pages on Schools Wikipedia link to this image (list may be incomplete):

Interpolation

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