CLOSED FORM SOLUTION FOR C2 ORIENTATION INTERPOLATION

被引：0

作者：

Volkov, Vasily ^{[1
]}

Li, Ling ^{[1
]}

机构：

[1] Curtin Univ Technol, Perth, WA, Australia

来源：

COMPUTER VISION AND GRAPHICS (ICCVG 2004) | 2006年 / 32卷

关键词：

orientation; quaternions; interpolation; splines; blending functions;

D O I：

10.1007/1-4020-4179-9_154

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We present a simple closed form solution for C-smooth quaternion interpolation problem. In contrast to other methods, our approach does not rely on cubic B-spline blending functions which require solution of nonlinear tridiagonal system. Instead, we propose using d interpolatoiy (cardinal) basis. Our method outperforms all alternatives and, being explicit, is absolutely stable.

引用

页码：1056 / 1062

页数：7

共 13 条

[1] Alexa M, 2002, ACM T GRAPHIC, V21, P380, DOI 10.1145/566570.566592
[2] [Anonymous], 1984, MATRIX GROUPS
[3] Spherical averages and applications to spherical splines and interpolation
Buss, SR
Fillmore, JP
[J]. ACM TRANSACTIONS ON GRAPHICS, 2001, 20 (02): : 95 - 126
[4] CURTIS WD, 1993, IEEE VIRTUAL REALITY ANNUAL INTERNATIONAL SYMPOSIUM, P377, DOI 10.1109/VRAIS.1993.380755
[5] de Boor C., 1978, PRACTICAL GUIDE SPLI, DOI DOI 10.1007/978-1-4612-6333-3
[6] Kang IG, 1999, INT J NUMER METH ENG, V46, P45, DOI 10.1002/(SICI)1097-0207(19990910)46:1<45::AID-NME662>3.3.CO
[7] 2-B
[8] Kim M.J., 1995, P COMPUTER ANIMATION, P72
[9] Myoung-Jun Kim, 1995, Computer Graphics Proceedings. SIGGRAPH 95, P369
[10] ν-quaternion splines for the smooth interpolation of orientations
Nielson, GM
[J]. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2004, 10 (02) : 224 - 229

← 1 2 →