Cubic Trigonometric Hermite Parametric Curves ...

A new kind of cubic trigonometric Hermite parametric curves and surfaces analogous to the normal cubic Hermite parametric curves and surfaces, with shape parameters, are presented in this work. The new curves and surfaces not only inherit properties of the normal cubic Hermite curves and surfaces in polynomial space respectively, but also enjoy some other advantageous properties for modeling. For given boundary conditions, the shapes of the new curves and surfaces can be adjusted by using the shape parameters with them. When the boundary conditions are chosen appropriately, the presented curves can exactly represent some engineering curves.