A Rational Quadratic Trigonometric Spline with Interval Shape Control

An interpolation scheme is constructed to design 2D objects using a Bézier-like rational quadratic trigonometric function with one family of shape parameters. The curve achieved through the constructed scheme, possesses the best possible geometric properties such as convex hull, partition of unity, affine invariance and variation diminishing and some important shape properties such as local and global tension properties which provide good control on the curve and help in modifying the shape as one can desire. Moreover, proposed method performance has smoothness of degree 2.