Smooth motion of a rigid body in 2D and 3D

  • Authors:
  • F. S. Chaudhry;D. C. Handscomb

  • Affiliations:
  • -;-

  • Venue:
  • IV '97 Proceedings of the IEEE Conference on Information Visualisation
  • Year:
  • 1997

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Abstract

Given measurements of the positions of a number of marked points on a rigid body at a sequence of times t/sub i/ (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.