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Competitive runtime performance for inverse kinematics algorithms using conformal geometric algebra

: Hildenbrand, D.; Fontijne, D.; Wang, Y.; Alexa, M.; Dorst, L.

Fellner, D. ; European Association for Computer Graphics -EUROGRAPHICS-:
Eurographics 2006. Short Papers : 4th to the 8th of September 2006 in Vienna, Austria
Aire-la-Ville: Eurographics Association, 2006
Eurographics <27, 2006, Vienna>
Conference Paper
Fraunhofer IGD ()
animation; computational geometry; geometric algebra

Conformal geometric algebra is a powerful tool to find geometrically intuitive solutions. We present an approach for the combination of compact and elegant algorithms with the generation of very efficient code based on two different optimization approaches with different advantages, one is based on Maple, the other one is based on the code generator Gaigen 2. With these results, we are convinced that conformal geometric algebra will be able to become fruitful in a great variety of applications in Computer Graphics.