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Long overdue, here's an updated version of the WebGL Cheat Sheet with a few adjustments. Since the original post, the official WebGL specs have been made public and there have been some changes to the API (see this article for a list) that I haven't incorporated into these docs until now. Thanks to Gonzalo for poking me a few days so I could get this done. Additional corrections are of course still more than welcome.
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WebGL has been getting a fair amount of buzz lately - and rightfully so, because it is cool. For those that don't know, WebGL is the 3D extension of the Canvas element, based on OpenGL ES 2.0. Having a standardized low-level graphics API like that available in the browser is pretty exciting stuff if you ask me. 3D canvas graphics has been long underway and not until just recently did it get to an interesting state when the first signs of WebGL showed up in both the (Mac) WebKit and Firefox nightly builds.
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Math has the ability to both be totally awesome and beautiful as well as make me bang my head into the wall. While the actual math involved at times goes way above my head, some things are just so damn elegant and when, on top of that, they can be visualized with pretty pictures, I'm sold. To make things even better, we have <canvas> and with it the ability to throw some JavaScript at this "An attractor is a set to which a dynamical system evolves after a long enough time."
While in every day use, one might think of an attractor as something that attracts stuff, in this context it's really the pattern or the result of what's going on in a system. E.g. if you're measuring and graphing the relationship between a number of variables over time, by connecting those points you could refer to the resulting pattern as an attractor.
"An attractor is informally described as strange if it has non-integer dimension or if the dynamics on it are chaotic."
Chaos, alright. Among other things, that involves being very sensitive to initial conditions (butterfly -> wing-flapping -> tornado, etc). It's more complex that than, but that's where it just goes beyond what I can grok.
One problem, at least in the case of the quadratic attractor, is that, if the a0-a5 and b0-b5 factors are chosen randomly, very few (like 1% for quadratic, the other formulas seem to have a higher rate of success) combinations produce a useful chaotic system. Determining which ones do is done using something called the Lyapunov exponent, which I won't go into but look it up if you're interested.
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One thing I found interesting when I did the JuicyDrop music visualization was MilkDrop's deformation effects. Rather than processing deformations for each and every pixel it works on a grid of points and then just interpolates the results for the actual pixels. I sort of mimicked that in JuicyDrop but in a simpler way. The grids used in JuicyDrop are something like 5x5 to 9x9 where MilkDrop uses much higher resolution grids and instead of doing per-pixel interpolation, the grid points are used to cut out triangles from the previous frame and paint them on the new frame, slightly transformed.
Since the deformations are usually very small when seen on a frame-by-frame basis, you can get some pretty good results even with fairly low resolution grids, and most recent browsers are more than capable of rendering 100 or even more triangles on a canvas. In the end, I was pleasantly surprised at how well everything turned out since I wasn't even sure I was going to get anything remotely close to what the original MilkDrop plugin produced.
While I still plan on doing some more work on JuicydDrop eventually, I decided to rip out just the grid deformation part and built something new around it. You see, every now and then I get the urge to just throw something quick together and make some flashing light or dancing balls or whatever but usually that urge comes when I only have 30 minutes to spare. So I figured I'd try to build a mini framework for making stupid demo effects and stuff like that.
I've ended up with a small application that loads simple scripts, exposes a bunch of functions to these scripts and then takes care of rendering and processing whatever the script tells it to. It's probably best explained by just taking a look at it. The whole idea was to make it as easy as possible for me to just throw some silly effect together real quick and hopefully not write too much code in the process, so it might not be the most thought through design but it gets the job done. The functions available range from basic drawing and image processing (via Pixastic) to audio data and 3D (via Pre3D).
There's no larger goal with this and there are already more robust and more elaborate frameworks out there for programming and animating graphics with JavaScript/Canvas(Processing.js for instance) so this is just my own little time-sink. You're of course welcome to play around with it, modify the existing scripts or even make your own.
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