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Geometric Algebra: New Foundations, New Insights
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2000 (English)Conference paper (Refereed)
Abstract [en]

Geometric algebra is a new fundamental language for the mathematics of computer graphics, modeling, and interactive techniques. It is especially useful for handling geometric problems, since it allows for intrinsic (coordinate-free) and dimensionally seamless descriptions of geometry. It has generated new insights and improved algorithms in a wide array of computer graphics applications: kinematics and dynamics, simplicial calculations (polygons, FEM), fluid flow, collision detection, hierarchical bounding spheres, boxes, quaternion splines on spheres, elastic deformations, curve and surface definition, vector fields, etc.

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Computer and Information Science
URN: urn:nbn:se:kth:diva-91458OAI: diva2:510353
Advanced 1-day course organized by Alyn Rockwood and given at Siggraph 2000
NR 20140805Available from: 2012-03-15 Created: 2012-03-15Bibliographically approved

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Naeve, Ambjörn
Computer and Information Science

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