A further generalisation of the planar cubic Bézier spiral

  • Authors:
  • D. J. Walton;D. S. Meek

  • Affiliations:
  • Department of Computer Science and St. Paul's College, University of Manitoba, 70 Dysart Road, Winnipeg, Manitoba R3T 2M6, Canada;Department of Computer Science, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2012

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Abstract

Spiral segments are useful in the design of fair curves. They are important in CAD/CAM applications, the design of highway and railway routes, trajectories of mobile robots and other similar applications. Cubic Bezier curves are commonly used in curve and surface design because they are of low degree, are easily evaluated, and allow inflection points. This paper generalises earlier results on planar cubic Bezier spiral segments and examines techniques for curve design using the new results.