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Corpus ID: 339373

Using Geometric Algebra for Navigation in Riemannian and Hard Disc Space

@inproceedings{Benger2009UsingGA,
title={Using Geometric Algebra for Navigation in Riemannian and Hard Disc Space},
author={W. Benger and G. Ritter},
year={2009}
}

A “vector” in 3D computer graphics is commonly understood as a triplet of three floating point numbers, eventually equipped with a set of functions operating on them. This hides the fact that there are actually different kinds of vectors, each of them with different algebraic properties and consequently different sets of functions. Differential Geometry (DG) and Geometric Algebra (GA) are the appropriate mathematical theories to describe these different types of “vectors”. They consistently… CONTINUE READING