Cubic Non-Uniform Trigonometric Polynomial Curves with Multiple Shape Parameters

Cubic non-uniform trigonometric polynomial curves with multiple shape parameters are presented in this paper.They are C²-continuous for a non-multiple knot vector and C³-continuous for a uniform knot vector respectively.The ellipses can also be represented by the m.Taking different values of the shape parameters,one can totally or locally adjust the shapes of the curves.Trigonometric Bézier curves with multiple shape parameters are also discussed.