| Title |
Quaternion rational Bézier curves / |
| Translation of Title |
Kvaternioninės racionalios Bézier kreivės. |
| Authors |
Zubė, Severinas |
| DOI |
10.15388/LMR.2011.gm04 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. LMD darbai.. Vilnius : Matematikos ir informatikos institutas. 2011, t. 52, p. 53-58.. ISSN 0132-2818 |
| Keywords [eng] |
Circle ; Inversion ; Quaternion ; Weight point |
| Abstract [eng] |
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. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2011 |
| CC license |
|
