Piecewise quadratic trigonometric polynomial curves

  • Authors:
  • Xuli Han

  • Affiliations:
  • Department of Applied Mathematics and Applied Software, Central South University, Changsha, 410083, Peoples Republic of China

  • Venue:
  • Mathematics of Computation
  • Year:
  • 2003

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Abstract

Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented in this paper. The quadratic trigonometric polynomial curve has C2 continuity, while the quadratic B-spline curve has C1 continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B-spline curve.