Title :
Smooth motion of a rigid body in 2D and 3D
Author :
Chaudhry, Farzana S. ; Handscomb, David C.
Author_Institution :
Comput. Lab., Oxford Univ., UK
Abstract :
Given measurements of the positions of a number of marked points on a rigid body at a sequence of times ti (i=0, 1, ..., n), we represent the motion of the body, assuming this motion to be smooth, by means of piecewise-rational curves, one through each sequence of positions, sharing a common denominator and having the property that the distance between these curves always remains constant. We consider in detail the motion in 2D and 3D of a rigid rod marked at each end
Keywords :
biomechanics; classical mechanics; mechanical engineering; piecewise constant techniques; splines (mathematics); time series; common denominator; constant inter-curve distance; marked points; piecewise-rational curves; position measurements; rational splines; rigid body motion; rigid rod; rotation; smooth 2D motion; smooth 3D motion; time sequence; Acceleration; Data mining; Laboratories; Leg; Motion measurement; Polynomials; Position measurement; Time sharing computer systems; Visualization;
Conference_Titel :
Information Visualization, 1997. Proceedings., 1997 IEEE Conference on
Conference_Location :
London
Print_ISBN :
0-8186-8076-8
DOI :
10.1109/IV.1997.626517