Title :
ν-Quaternion splines for the smooth interpolation of orientations
Author :
Nielson, Gregory M.
Author_Institution :
Dept. of Comput. Sci. & Eng., Arizona State Univ., Tempe, AZ, USA
Abstract :
We present a new method for smoothly interpolating orientation matrices. It is based upon quaternions and a particular construction of ν-spline curves. The new method has tension parameters and variable knot (time) spacing which both prove to be effective in designing and controlling key frame animations.
Keywords :
computer animation; curve fitting; interpolation; matrix algebra; splines (mathematics); /spl nu/-quaternion splines; Bezier curves; inbetweening; interpolation; key frame animation; orientation matrices; Algorithm design and analysis; Animation; Computer science; Interpolation; Polynomials; Quaternions; Spline; Algorithms; Computer Graphics; Computer Simulation; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Online Systems; Pattern Recognition, Automated; Reproducibility of Results; Rotation; Sensitivity and Specificity; Signal Processing, Computer-Assisted; User-Computer Interface;
Journal_Title :
Visualization and Computer Graphics, IEEE Transactions on
DOI :
10.1109/TVCG.2004.1260774
