✦ LIBER ✦
Hermite Interpolation of Solid Orientations with Circular Blending Quaternion Curves
✍ Scribed by KIM, MYUNG-SOO ;NAM, KEE-WON
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 794 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1049-8907
No coin nor oath required. For personal study only.
✦ Synopsis
Construction methods are presented that generate Hermite interpolation quaternion curves on SO(3).
lLvo circular curves Cl(t) and C2(t), 0 5 t 5 1, are generated that interpolate two orientations ql and q 2 , and have boundary angular velocities: Cl(0) = w1 and Ci(1) = w2, respectively. They are smoothly blended together on SO(3) to generate a Hermite quaternion curve Q(t) E S0(3), 0 5 t 5 1, which satisfies the boundary conditions: Q(0) = q1,Q(1) = 92, Q'(0) = w1, and Q'(1) = w2.