NEW SPLINE SPACES WITH GENERALIZED TENSION PROPERTIES
The paper describes a new space of variable degree polynomials. This space is isomorphic to P(6), possesses a Bernstein like basis and has generalized tension properties in the sense that, for limit values of the degrees, its functions approximate quadratic polynomials. The corresponding space of C(3), variable degree splines is also studied. This spline space can be profitably used in the construction of shape preserving curves or surfaces.
variable degree polynomials shape preservation bernstein basis b-splines