File:Interpolation example spline.svg

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Original file(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.
Date
Source self-made in Gnuplot
Author Berland

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.

Licensing

Public domain This work has been released into the public domain by its author, I, Berland. This applies worldwide.
In some countries this may not be legally possible; if so:
I, Berland grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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depicts

26 June 2007

File history

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Date/TimeThumbnailDimensionsUserComment
current15:02, 25 June 2007Thumbnail for version as of 15:02, 25 June 2007600 × 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

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