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International Journal of Computer Mathematics Volume 87, 2010 - Issue 12: Section B Special Section: Third International Conference on Mathematical Sciences, Al-Ain, UAE, March 2008
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Section B

Generalized invariant-geometry conditions for the rational Bézier paths

H. E. Bez Department of Computer Science, Loughborough University, Loughborough, LE11 3TU, UKCorrespondence[email protected]
Pages 2722-2732 | Received 09 Oct 2008, Accepted 12 Jan 2009, Published online: 02 Jun 2010
 
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Abstract

A generalization of Patterson's work on the invariants of the rational Bézier curves, to the case of weight vectors of mixed-sign is presented. It is shown that an additional invariant is required in the general case. The results are viewed from the perspective of the Fundamental Theorem on invariants for Lie groups.

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