Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry

David Hestenes

Chapter Chapter 1 in Geometric Algebra with Applications in Science and Engineering, 2001, pp 3-17 from Springer

Abstract: Abstract My purpose in this chapter is to introduce you to a powerful new algebraic model for Euclidean space with all sorts of applications to computer-aided geometry, robotics, computer vision and the like. A detailed description and analysis of the model is soon to be published elsewhere, so I can concentrate on highlights here, although with a slightly different formulation that I find more convenient for applications. Also, I can assume that this audience is familiar with Geometric Algebra, so we can proceed rapidly without belaboring the basics.

Keywords: Computational Geometry; Null Vector; Geometric Algebra; Conformal Group; Outer Product (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0159-5_1

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DOI: 10.1007/978-1-4612-0159-5_1

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