File:DeCasteljau1.png
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DeCasteljau1.png (600 × 300 pixels, file size: 15 KB, MIME type: image/png)
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File:DeCasteljau1.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:DeCasteljau1.png → File:DeCasteljau1.svg
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DescriptionDeCasteljau1.png |
author: Przemysław Koprowski source: created by in Asymptote description: This image depictes the de Casteljau algorithm geometrically data: created on 7th of October 2006 Asymptote sourcesHere are the Asymptote sources of the image in case someone wants to modifie it. size(10cm,4cm); real t = 0.33; pair[][] P = {{(0,0), (0.25,1.5), (1,2), (1,0)}, {(0,0), (0.5,1), (1,2), (1,0)}, {(0,0), (0.5,1), (1,2), (1,0)}, {(0,0), (0.5,1), (1,2), (1,0)}}; path C[] = {nullpath, nullpath, nullpath, nullpath}; path g,ctr,d; g = P[0][0]..controls P[0][1] and P[0][2]..P[0][3]; d = scale(0.025)*unitcircle; int i,j,k; C[0] = P[0][0]--P[0][1]--P[0][2]--P[0][3]; for(i = 1; i <= 3; ++i) { for(j = 0; j <= 3-i; ++j) { P[i][j] = (1-t)*P[i-1][j] + t*P[i-1][j+1]; C[i] = C[i]--P[i][j]; } } for(k = 0; k < 3; ++k) { draw(shift((2*k,0)) * C[k]); for(i = 0; i < 4-k; ++i) { string L = format("$P_%d$",i); label(L, shift((2*k,0)) * P[k][i], i < (4-k)/2 ? W : E); filldraw(shift((2*k,0)) * shift(P[k][i])*d); } draw(shift((2*k,0)) * C[k+1], dashed); for(i = 0; i < 3-k; ++i) draw(shift((2*k,0)) * shift(P[k+1][i])*d); draw(shift((2*k,0)) * g); } |
Date | 7 October 2006 (original upload date) |
Source | Transferred from en.wikipedia to Commons. |
Author | Pkoprowski at English Wikipedia |
Licensing[edit]
Public domainPublic domainfalsefalse |
This work has been released into the public domain by its author, Pkoprowski at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: Pkoprowski grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.Public domainPublic domainfalsefalse |
Original upload log[edit]
The original description page was here. All following user names refer to en.wikipedia.
- 2006-10-07 17:19 Pkoprowski 600×300×8 (15317 bytes) author: Przemysław Koprowski (myself) source: created by me in Asymptote description: This image depictes the de Casteljau algorithm geometrically data: created on 7th of October 2006
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 19:53, 18 March 2007 | 600 × 300 (15 KB) | Angusmclellan (talk | contribs) | {{Information |Description=author: Przemysław Koprowski source: created by in [http://asymptote.sourceforge.net/ Asymptote] description: This image depictes the de Casteljau algorithm geometrically data: created on 7th of October 2006 == Asymptote sour |
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