File:Schwarz-Christoffel transformation.png
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Schwarz-Christoffel_transformation.png (580 × 177 pixels, file size: 7 KB, MIME type: image/png)
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Summary
[edit]DescriptionSchwarz-Christoffel transformation.png |
English: Schwarz-Christoffel mapping of the semi-infinite strip to the upper half-plane. |
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Date | ||||
Source | Own work | |||
Author | User:Jitse Niesen | |||
Permission (Reusing this 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 “Schwarz-Christoffel transformation.svg”—then the template Vector version available (or Vva) does not need the new image name parameter. |
Summary
[edit]This image was created by the following Matlab file:
zs = [ linspace(0.2, 0.2+1i) linspace(0.4, 0.4+1i) linspace(0.6, 0.6+1i) linspace(0.8, 0.8+1i) linspace(1.0, 1.0+1i) linspace(0.2i, 1.2+0.2i) linspace(0.4i, 1.2+0.4i) linspace(0.6i, 1.2+0.6i) linspace(0.8i, 1.2+0.8i) ]; zs = transpose(zs); zs2 = [ linspace(0, 0+1i) linspace(0i, 1.2+0i) linspace(1i, 1.2+1i) ]; zs2 = transpose(zs2); zetas = - 1/2 + 1/2*cosh(pi*zs); zetas2 = - 1/2 + 1/2*cosh(pi*zs2); clf; subplot('position', [0 0 0.4 0.4]); hold on; patch([-1 2 2 -1], [-1 -1 0 0], [0.7 0.7 0.7], 'EdgeColor', 'none'); patch([-1 2 2 -1], [1 1 2 2], [0.7 0.7 0.7], 'EdgeColor', 'none'); patch([-1 0 0 -1], [-1 -1 2 2], [0.7 0.7 0.7], 'EdgeColor', 'none'); plot(real(zs), imag(zs), 'r'); plot(real(zs2), imag(zs2), 'k', 'LineWidth', 2); plot([0 0], [0 1], 'ok', 'MarkerSize', 7, 'MarkerFaceColor', 'black'); axis([-0.2 1.2 -0.2 1.2]); axis off; annotation('arrow', [0.55 0.45], [0.18 0.18]); annotation('textbox', [0.45 0.18 0.1 0.1], 'String', '\itf', ... 'EdgeColor', 'none', 'HorizontalAlignment', 'center', ... 'FontSize', 20); subplot('position', [0.6 0 0.4 0.4]); hold on; patch([-3 2 2 -3], [-1 -1 0 0], [0.7 0.7 0.7], 'EdgeColor', 'none'); plot(real(zetas), imag(zetas), 'r'); plot(real(zetas2), imag(zetas2), 'k', 'LineWidth', 2); plot([-1 0], [0 0], 'ok', 'MarkerSize', 7, 'MarkerFaceColor', 'black'); axis([-2.5 1.5 -0.3 2]); axis off; print -depsc 'sc.eps';
The resulting EPS file was transformed to PNG by the following commands:
epstopdf sc.eps convert sc.pdf sc.png mv sc.png Schwarz-Christoffel_transformation.png
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 17:23, 15 June 2005 | 580 × 177 (7 KB) | Jitse Niesen (talk | contribs) | turn arrow around | |
13:47, 8 June 2005 | 580 × 177 (7 KB) | Jitse Niesen (talk | contribs) | Schwarz-Christoffel mapping of the semi-infinite strip to the upper half-plane. {{PD}} |
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