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Original file (SVG file, nominally 720 × 540 pixels, file size: 2.28 MB)
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Summary
| Description |
English: Rosenbrock function over . The Python code needs at least Matplotlib v0.99. The MATLAB/Octave code was tested with GNU Octave 4.2.2 and MATLAB R2016a.
Español: Funció de Rosenbrock definida sobre . |
| Date | |
| Source | Own work |
| Author | Morn the Gorn |
| Python source | click to expand
from mpl_toolkits.mplot3d import Axes3D
from matplotlib.colors import LogNorm
import matplotlib.pyplot as plt
import numpy as np
fig = plt.figure()
ax = Axes3D(fig, azim=-128, elev=43)
s = .05
X = np.arange(-2, 2.+s, s)
Y = np.arange(-1, 3.+s, s)
X, Y = np.meshgrid(X, Y)
Z = (1.-X)**2 + 100.*(Y-X*X)**2
# ax.plot_surface(X, Y, Z, rstride=1, cstride=1, norm = LogNorm(),
# cmap="viridis")
# Without using `` linewidth=0, edgecolor='none' '', the code may produce a
# graph with wide black edges, which will make the surface look much darker
# than the one illustrated in the figure above.
ax.plot_surface(X, Y, Z, rstride=1, cstride=1, norm=LogNorm(),
linewidth=0, edgecolor='none', cmap="viridis")
# Set the axis limits so that they are the same as in the figure above.
ax.set_xlim([-2, 2.0])
ax.set_ylim([-1, 3.0])
ax.set_zlim([0, 2500])
plt.xlabel("x")
plt.ylabel("y")
plt.savefig("Rosenbrock function.svg", bbox_inches="tight")
plt.show()
|
| MATLAB/Octave source | click to expand
clear all;
close all;
hfig = figure(1);
s = 0.05;
X = [-2 : s : 2+s];
Y = [-1 : s : 3+s];
[X, Y] = meshgrid(X, Y);
Z = (1-X).^2 + 100*(Y-X.^2).^2;
% Use log scale of Z for a batter usage of the color spectrum
minZ = min(Z(:));
maxZ = max(Z(:));
C = minZ + (maxZ-minZ).*log(1+Z-minZ)./log(1+maxZ-minZ);
% See
% http://stackoverflow.com/questions/5073865/how-to-color-surface-with-stronger-contrast
% for how to color a surface with a even stronger contrast.
% The method is as follows:
%C = Z;
%[~, index] = sort(C(:));
%C(index) = 1 : numel(index);
colormap(jet);
surf(X, Y, Z, C, 'EdgeColor', 'none', 'LineStyle', 'none');
axis([-2, 2, -1, 3, 0, 2500]);
xlabel('x', 'fontsize', 18);
ylabel('y', 'fontsize', 18);
zlabel('f', 'fontsize', 18);
% Note that the `-dsvg' option is only supported for Simulink systems
print(hfig, '-dsvg', 'rosenbrock');
% To produce eps and pdf, use the following code. Notice that `epstopdf' may not work on Windows.
print(hfig, '-depsc', 'rosenbrock');
system('epstopdf rosenbrock.eps');
|
Licensing
|
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. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:19, 5 June 2020 | | 720 × 540 (2.28 MB) | Zhangzk | The original colour looks much better (Reverted to version as of 11:52, 6 April 2010 (UTC)) |
| 15:25, 15 August 2018 |  | 603 × 459 (1.21 MB) | Nicoguaro | Change colormap to viridis. Smaller file. | |
| 11:52, 6 April 2010 |  | 720 × 540 (2.28 MB) | Morn | {{Information |Description={{en|1=Rosenbrock function}} |Source={{own}} |Author=Morn the Gorn |Date=2009-09-04 |Permission= |other_versions= }} Category:Functions in two variables |
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