A Bigger Mathematical Picture for Computer Graphics [video]

Re:A Bigger Mathematical Picture for Computer Graphics [video] by unao on Wednesday September 06, 2017 @03:58AM (#15181933)

I encountered geometric algebra only few weeks ago and it is one of the most interesting, intriguing and elegant things I saw in my life. It almost feels too beauty to be true. I cannot understand why GA is not more popular - especially as it is backwards compatible with linear algebra.

There is very interesting library: https://github.com/enkimute/ganja.js

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by letlambda on Wednesday September 06, 2017 @10:20AM (#15183879)

C++ GA library. https://github.com/wolftype/versor

The cheat sheet is awesome. http://versor.mat.ucsb.edu/masters_appendix.pdf

The author's thesis is worth a look: http://versor.mat.ucsb.edu/ArticulatingSpace.pdf

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by grp on Wednesday September 06, 2017 @11:41AM (#15184521)

Nice to see Curtis Roads in the thesis!

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by yeureka on Wednesday September 06, 2017 @08:36AM (#15183104)

There is a company that based its business on a rendering engine that uses Geometric Algebra.

They have been around for a while: (PDF) http://www.geomerics.com/wp-content/uploads/2014/03/agacse_d...

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by santaclaus on Wednesday September 06, 2017 @01:38PM (#15185552)

> I cannot understand why GA is not more popular

Geometric Algebra is all over the place in the geometry processing community within graphics.

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by theoh on Wednesday September 06, 2017 @09:56AM (#15183655)

One reason why GA hasn't caught fire in graphics is the complexity: for many tasks it is slower that the old way. AFAIK.

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by letlambda on Wednesday September 06, 2017 @10:31AM (#15183964)

That may be largely due to massive amount of work put into the old way. Even if GA is just fundamentally a better idea for doing graphics, it doesn't have decades of software and hardware development to back it up.

Imagine selling this: I've got a new idea, with a mere re-education campaign for our developers, major graphics engine overhaul, and... convincing NVIDIA or AMD to implement some GA specific optimizations in hardware. We can have a much more mathematically satisfying code base!

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Re:A Bigger Mathematical Picture for Computer Graphics [video] by analognoise on Wednesday September 06, 2017 @11:09AM (#15184274)

This sounds like a job for an FPGA-based graphics system as a prototype.

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