File:MDKQ 3D.svg
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Size of this PNG preview of this SVG file: 405 × 374 pixels. Other resolutions: 260 × 240 pixels | 520 × 480 pixels | 832 × 768 pixels | 1,109 × 1,024 pixels | 2,218 × 2,048 pixels.
Original file (SVG file, nominally 405 × 374 pixels, file size: 64 KB)
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Summary[edit]
| Description |
Deutsch: Fit einer 2D-Funktion |
| Date | |
| Source | Own work |
| Author | Christian Schirm |
| Quellen | Skript zur Bildgenerierung Erzeugungsskript, um die Grafik zu erstellen |
| Anleitung | Benötigte Open-Source-Software:
Nach der Installation von Python den Quelltext in eine Datei mdkq.py kopieren und starten durch Doppelklicken oder in der Konsole durch Eingabe von python mdkq.py |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codefrom mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt
import numpy
numpy.random.seed(3)
nMess = 18
x0 = numpy.random.rand(nMess)
x0 = x0-min(x0); x0 *= 10 / max(x0)
x1 = numpy.random.rand(nMess)*10
x1 = x1-min(x1); x1 *= 10 / max(x1)
y = numpy.random.randn(nMess)*10
x = numpy.array(list(zip(x0,x1)))
def base(x0, x1, n):
return numpy.array([x0**i0.ravel() * x1**i1.ravel() for i0, i1 in numpy.mgrid[:n,:n].reshape(2,n*n).T]).T
nBasisProAchse = 3
A = base(x0, x1, nBasisProAchse)
c = numpy.linalg.inv(A.T @ A) @ A.T @ y
yModell = A @ c
x0neu, x1neu = numpy.meshgrid(numpy.linspace(0, 10, num=20), numpy.linspace(0, 10, num=20))
yneu = base(x0neu, x1neu, nBasisProAchse) @ c
fig = plt.figure(figsize=(4.5,4.5))
ax = fig.add_subplot(111, projection='3d')
p2 = ax.plot_wireframe(x1neu, x0neu, yneu, color='r', rstride=1, cstride=1, label='Modellfunktion', linewidth=1, zorder=0)
p1 = ax.scatter(x0, x1, y, label='Messpunkte', zorder=2)
for i in range(len(y)):
ax.plot([x0[i]]*2, [x1[i]]*2, [y[i], yModell[i]], color='#60c060', linewidth=1.5, label='Residuum' if i==0 else None, zorder=1)
lx0 = ax.set_xlabel('x1')
lx1 = ax.set_ylabel('x2')
ly = ax.set_zlabel('y')
leg = plt.legend(frameon=True)
plt.tight_layout()
plt.show()
plt.savefig('MDKQ_3D.svg')
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Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
 
|
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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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:22, 23 May 2021 | | 405 × 374 (64 KB) | Physikinger (talk | contribs) | Legend order |
| 12:05, 23 May 2021 |  | 405 × 374 (64 KB) | Physikinger (talk | contribs) | New Matplotlib version | |
| 21:17, 7 April 2011 |  | 381 × 353 (183 KB) | PhysikingerC (talk | contribs) | border | |
| 21:15, 7 April 2011 |  | 412 × 381 (183 KB) | PhysikingerC (talk | contribs) | border | |
| 21:05, 7 April 2011 |  | 366 × 337 (182 KB) | PhysikingerC (talk | contribs) | background | |
| 21:02, 7 April 2011 |  | 359 × 336 (182 KB) | PhysikingerC (talk | contribs) | white Background | |
| 20:59, 7 April 2011 |  | 359 × 336 (182 KB) | PhysikingerC (talk | contribs) | == Summary == {{Information |Description ={{de|1=Fit einer 2D-Funktion}} |Source ={{own}} |Author =Chrischi |Date =2011-04-07 |Permission = |other_versions = }} |
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