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Projective Geometric Computing
2000 (English)Conference paper (Refereed)
Abstract [en]

This paper applies geometric algebra to the geometry of conics in the plane. Starting from the classical double algebra expression for a conic on 5 points P i E P2(R) in terms of a running variable, we show how to eliminate this variable (by the use of tensor products) and express the conic on 5 points without resorting to a running variable. Writing P= {P1, P2, P3, P4, P5} , and designating the conic by Q P , the homogeneous point equation of Q P can be expressed as Qp (X)=O , where

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Computer and Information Science
URN: urn:nbn:se:kth:diva-80309OAI: diva2:496204
NR 20140805Available from: 2012-02-09 Created: 2012-02-09Bibliographically approved

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Naeve, Ambjörn
Computer and Information Science

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