Open AccessQuaternion rational Bézier curves
Author(s) -
Severinas Zubė
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.gm04
Subject(s) - quaternion , mathematics , parameterized complexity , family of curves , invariant (physics) , subspace topology , bézier curve , pure mathematics , mathematical analysis , geometry , combinatorics , mathematical physics
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.