File:Surface vectors.png
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| Description |
العربية: مجال متجه لسطح.
Català: Un camp vectorial sobre una superfície.
English: A vector field on a surface.
Esperanto: Vektora kampo sur surfaco.
ភាសាខ្មែរ: ដែនវ៉ិចទ័រនៅលើផ្ទៃ.
中文：曲面上的向量场。. |
| Source | Own work |
| Author | Oleg Alexandrov |
This diagram was created with MATLAB.
|
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 (MATLAB)
% illustration of a vector field on a surface
figure(1); clf; hold on; axis equal; axis off;
view(-12, 20) % viewing angle
% initial data
f=inline('0.4*(1-(X.^2+1.1*Y.^2))'); % the function to be plotted
fx=inline('-2*X', 'X', 'Y'); fy=inline('-2.2*Y', 'X', 'Y');
Lx1=0; Lx2=1; Ly1=-1; Ly2=1; % the domain of f is the box [Lx1 Lx2] x [Ly1 Ly2]
% plot the surface
N=50; [X, Y]=meshgrid(Lx1:1/N:Lx2, Ly1:1/N:Ly2); Z=f(X, Y); % X and Y
surf(X, Y, Z, 'FaceColor','red', 'EdgeColor','none', ...
'AmbientStrength', 0.3, 'SpecularStrength', 1, 'DiffuseStrength', 0.8);
% create and plot a vector field (rather arbitrarily)
lw=1.4; % width of vectors
N=3; [X, Y]=meshgrid(Lx1:1/N:Lx2, Ly1:1/N:Ly2); Z=f(X, Y); % X and Y
Vx=fy(X, Y); Vy=-0.5*fx(X, Y); Vz=3+0*Vx;
H=quiver3(X, Y, Z, Vx, Vy, Vz); % draw the normals
set(H(1), 'linewidth', lw); set(H(2), 'linewidth', lw);
camlight headlight; lighting phong; % make nice lightning
saveas(gcf, 'surface_vectors.eps', 'psc2');
print('-dpng', '-r300', 'surface_vectors.png') % save to file.
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This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with
{{vector version available|new image name}}.
It is recommended to name the SVG file “Surface vectors.svg”—then the template Vector version available (or Vva) does not need the new image name parameter. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:41, 23 April 2007 | | 1,455 × 807 (80 KB) | Oleg Alexandrov | {{Information |Description= |Source= |Date= |Author= }} {{PD-self}} |
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