A method for determining knots in parametric curve interpolation Original Research Article

The process of constructing a parametric quadratic polynomial with four data points is discussed and a new method for determining knots in parametric curve interpolation is presented. The method has a parametric polynomial reproduction degree of two, i.e., an interpolation scheme which reproduces quadratic polynomials would reproduce parametric quadratic polynomials if the new method is used to construct knots in the interpolation process. Testing results on the efficiency of the new method are also included.