Title :
Smooth rational motion of a rigid triangle in R3
Author :
Chaudhry, Farzana S. ; Cameron, Stephen A.
Author_Institution :
Comput. Lab., Oxford Univ., UK
Abstract :
Using rational motions it is possible to apply many fundamental Bezier spline (or B-spline) techniques to the designs of motion. The paper develops and tests a simple automatic algorithm for representing C 1 smooth motion of a rigid triangle Δ in R3, by means of piecewise parametric rational curves of degree 2m/2m for some m, when measurements of the positions of the vertices of the triangle Δ at a sequence of times ti, i=0, 1, …, n, in R3 are given. The method presented in the paper can be applied to various problems in computer animation as well as in robotics
Keywords :
computational geometry; computer animation; motion estimation; splines (mathematics); B-spline techniques; Bezier spline; C1 smooth motion; R3; automatic algorithm; computer animation; piecewise parametric rational curves; rigid triangle; robotics; smooth rational motion; Algorithm design and analysis; Animation; Automatic testing; Computer graphics; Integrated circuit testing; Interpolation; Laboratories; Merging; Postal services; Quaternions;
Conference_Titel :
Information Visualization, 1999. Proceedings. 1999 IEEE International Conference on
Conference_Location :
London
Print_ISBN :
0-7695-0210-5
DOI :
10.1109/IV.1999.781550
