Name
Abstract | ||
|---|---|---|
Construction methods are presented that generate Hermite interpolation quaternion curves on SO(3). Two circular curves C-1(t) and C-2(t), 0 less than or equal to t less than or equal to 1, are generated that interpolate two orientations q(1) and q(2), and have boundary angular velocities: C-1'(0) = omega(1) and C-2'(1) = omega(2), respectively. They are smoothly blended together on SO(3) to generate a Hermite quaternion curve Q(t) is an element of SO(3), 0 less than or equal to t less than or equal to 1, which satisfies the boundary conditions: Q(0) = q(1), Q(1) = q(2), Q'(0) = omega(1), and Q'(1) = omega(2). |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1002/(SICI)1099-1778(199604)7:2<95::AID-VIS138>3.0.CO;2-8 | JOURNAL OF VISUALIZATION AND COMPUTER ANIMATION |
Keywords | Field | DocType |
quaternion,orientation,rotation,angular velocity,Hermite interpolation,animation | Boundary value problem,Angular velocity,Mathematical analysis,Quaternion,Interpolation,Hermite polynomials,Cubic Hermite spline,Hermite interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
7 | 2 | 1049-8907 |
Citations | PageRank | References |
8 | 3.74 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Myung-soo Kim | 1 | 149 | 29.02 |
| KEE‐WON NAM | 2 | 8 | 3.74 |