A class of general quartic spline curves with shape parameters Original Research Article

With a support on four consecutive subintervals, a class of general quartic splines are presented for a non-uniform knot vector. The splines have image continuity at simple knots and include the cubic non-uniform B-spline as a special case. Based on the given splines, piecewise quartic spline curves with three local shape parameters are given. The given spline curves can be image continuous by fixing some values of the curveʼs parameters. Without solving a linear system, the spline curves can also be used to interpolate sets of points with image continuity. The effects of varying the three shape parameters on the shape of the quartic spline curves are determined and illustrated.