RTWarp - Hyperbolic Geometry Demo

Picture 10 This is an old demo I’ve radically updated. Way back when I built an image distortion demo in Macromedia Director lingo (ran about 0.1fps) . This version is built in a GLSL vertex shader (runs 90fps).

If you have an OpenGL 2.0 capable Mac:

Download RTWarp

Try opening a 640×480-ish sized image.


The distortion is a Fractional Linear Transform across the hyperbolic plane (poincare unit disk). If anyone is interested I can dig up the math. This type of distortion is the same kind found in Inxight’s Startree. Except, instead of just transforming a small set of points, we transform the entire image here (functionally anyways).

Screenshots:

Picture 9

Picture 10

Picture 11

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Picture 14

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