File:Quadratic interpolation.svg
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Size of this PNG preview of this SVG file: 752 × 564 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.
Original file (SVG file, nominally 752 × 564 pixels, file size: 105 KB)
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Summary[edit]
| Description |
English: example of quadratic interpolation |
| Date | |
| Source | Own work |
| Author | User:DaBler |
Licensing[edit]
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
Source code[edit]
Plotted in GNU Octave:
clear;
figure(1);
subplot(211);
hold off;
x = [-1 0 1];
y = [-1 3 2];
stem( x, y );
hold on;
a = (y(1)-2*y(2)+y(3))/2;
b = (y(3)-y(1))/2;
c = y(2);
t = [-2000:+2000]./1000;
p = a*t.*t+b*t+c;
plot( t, p );
t_max = -b/2/a;
p_max = a*t_max.*t_max+b*t_max+c;
h=stem( t_max, p_max, "r" );
ylim([-2 5]);
xlim([-2 2])
legend("f[x]", "f(x)", "f(x) = max")
xlabel("x");
ylabel("y","Rotation",0);
subplot(212);
hold off;
plot( t(1:end-1), diff(p,1) );
hold on;
h=stem(t_max, 0, "r");
xlim([-2 2])
legend("f'(x)", "f'(x) = 0")
xlabel("x");
ylabel("y","Rotation",0);
print("quadratic_interpolation.svg");
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:17, 7 March 2010 | | 752 × 564 (105 KB) | DaBler (talk | contribs) | same x-ranges |
| 15:21, 7 March 2010 |  | 752 × 564 (104 KB) | DaBler (talk | contribs) | {{Information | Description = {{en|example of quadratic interpolation}} | Source = {{own}} | Date = 2010-03-07 | Author = User:DaBler | Permission = | other_versions = }} Category:Interpolation |
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