Interpolation with cubic spirals

  • Authors:
  • Donna A. Dietz;Bruce Piper

  • Affiliations:
  • Department of Mathematics, Mansfield University, Mansfield, PA;Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2004

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Abstract

Numerical techniques are used to study parametric Bézier cubics of monotonic curvature, and tools are presented for design applications. Values are computed to aid in the selection of control points for building interpolatory cubic spirals, and a table is developed which helps in adjusting the endpoint curvatures.