We present
C2 quasi-interpolating schemes with tension properties. The B-splines like functions used in the quasi-interpolanting schemes are parametric cubic curves and their shape can be easily controlled via tension parameters which have an immediate geometric interpretation. Applications to the problem of approximation of curves with shape-constraints are discussed.
AMS Subject Classification 41A05 - 41A25 - 41A29 - 65D05
Keywords Quasi-interpolation - tension properties - parametric curves - constrained approximation