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Bézier curve animations

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Hi Twirlip, these animations are fantastic. I agree with User:Jacobolus that they should be nominated as featured animations, so I have put three of them at WP:PPR (Wikipedia:Picture peer review/Bézier curve animations). As I wrote on that page, "One look at these animations and I immediately got how Bézier curves are constructed." Cheers, --Lph 01:18, 11 February 2007 (UTC)[reply]

Me, too. I nominated them in the de.wikipedia (Kandidaten für exzellente Bilder#Beziérkurven) --80.146.77.251 09:33, 27 February 2007 (UTC)[reply]
Me again: Sorry, I had to abort the nomination in the de.wikipedia , cause in the de.wikipedia commas should be used instead of periods as the decimal separator. My fault. --80.146.100.159 10:32, 1 March 2007 (UTC)[reply]

Wonderful animations! What software did you use to make them? --Elplatt (talk) 21:39, 9 January 2008 (UTC)[reply]

It's all a bit embarrassing actually. I actually made them as part of some documentation for ImageMagick. The docs had lots of other example images, all made using shell scripts that ran ImageMagick (except a few that ran POV-Ray). So I did the same for the Bézier curve animations, except in this case it was a shell script that wrote a temporary shell script that actually created the animations. The trouble was the ImageMagick command lines in the temporary shell script got absolutely huge - above about 50 frames, the command line for the fourth-order animation exceeded my kernel's command line limit of 32K! I definitely wouldn't recommend anyone else use this method. --Twirlip (talk) 13:38, 31 March 2008 (UTC)[reply]
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1.Linear v2 2.Quadratic v2
3.Cubic v2 4.Quartic v2
Bézier curves: 1. linear; 2. quadratic; 3. cubic; 4. quartic.
A set of images uploaded by you has been promoted to featured picture status
A set of your images was nominated on Wikipedia:Featured picture candidates, gained a consensus of support, and has been promoted. If you would like to nominate an image or set of images, please do so at Wikipedia:Featured picture candidates. Thank you for your contribution! KFP (talk | contribs) 10:59, 3 April 2007 (UTC)[reply]
POTD

Hi Phil,

Just to let you know that the Featured Picture Image:Bézier 3 big.gif is due to make an appearance as Picture of the Day on August 19, 2007. If you get a chance, you can check and improve the caption at Template:POTD/2007-08-19. howcheng {chat} 00:30, 8 August 2007 (UTC)[reply]

Welcome!

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Hello Twirlip! Welcome to Wikipedia! Thank you for your contributions to this free encyclopedia. If you decide that you need help, check out Getting Help below, ask me on my talk page, or place {{helpme}} on your talk page and ask your question there. Please remember to sign your name on talk pages by clicking or using four tildes (~~~~); this will automatically produce your name and the date. Finally, please do your best to always fill in the edit summary field. Below are some useful links to facilitate your involvement. Happy editing! —Vanderdeckenξφ 18:35, 17 March 2007 (UTC)[reply]
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January 2021

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Information icon Hello, I'm MichaelMaggs. I noticed that you added or changed content in an article, Miniature park, but you didn't provide a reliable source. It's been removed and archived in the page history for now, but if you'd like to include a citation and re-add it, please do so. You can have a look at the tutorial on citing sources. If you think I made a mistake, you can leave me a message on my talk page. Sorry, it has to be notable to Wikipedia standards, and being grade II listed is by no means enough. Please see WP:RS for details. Easiest way to prove notability is to write a new Wikipedia article on the model village, supported by reliable sources. A model village that has its own free-standing article can be added to this list MichaelMaggs (talk) 11:49, 15 January 2021 (UTC)[reply]

Information icon Please do not add or change content, as you did at Miniature park, without citing a reliable source. Please review the guidelines at Wikipedia:Citing sources and take this opportunity to add references to the article. As I explained, a listing (even a sourced listing) does not make this model village notable for Wikipedia purposes. If you would like to discuss do so on the talk page, but do not simply revert once your edits have been challenged. MichaelMaggs (talk) 14:50, 15 January 2021 (UTC)[reply]

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Hi Phil, This is to let you know that File:Bézier 1 big.gif, a featured picture you uploaded, has been selected as the English Wikipedia's picture of the day (POTD) for December 13, 2023. A preview of the POTD is displayed below and can be edited at Template:POTD/2023-12-13. If you have any concerns, please place a message at Wikipedia talk:Picture of the day. Thank you!  — Amakuru (talk) 12:24, 7 December 2023 (UTC)[reply]

Animation of a linear Bézier curve

A Bézier curve is a parametric curve used in computer graphics and related fields. Related to the Bernstein polynomial, it is named after Pierre Bézier, who used it in the 1960s for designing curves for the bodywork of Renault cars. Other uses include the design of computer fonts and animation. Bézier curves can be combined to form a Bézier spline, or generalized to higher dimensions to form Bézier surfaces. This animation shows a linear Bézier curve, the simplest type, generating a straight line between the points P0 and P1. This is equivalent to linear interpolation.

Animation credit: Phil Tregoning

Recently featured:

 — Amakuru (talk) 11:17, 8 December 2023 (UTC)[reply]