Quaternion rational Bézier curves
Articles
Severinas Zube
Vilnius University
Published 2011-12-15
https://doi.org/10.15388/LMR.2011.gm04
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Keywords

circle
inversion
quaternion
weight point

How to Cite

Zube S. (2011) “Quaternion rational Bézier curves”, Lietuvos matematikos rinkinys, 52(proc. LMS), pp. 53–58. doi: 10.15388/LMR.2011.gm04.

Abstract

We extended the rational Bézier model for space curve, by allowing quaternion weights. These curves are Möbius invariant and have halved degree with respect to real Bézier curves. This simplify the analysis of curves. In general, these curves are in four dimensional space. We analyze when the quadratically parameterized quaternion curve is in usual three dimensional subspace.

 

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