Totally positive bases for shape preserving curve design and optimality of B-splines
Computer Aided Geometric Design
Corner cutting algorithms associated with optimal shape preserving representations
Computer Aided Geometric Design
Knot intervals and multi-degree splines
Computer Aided Geometric Design
On the degree elevation of B-spline curves and corner cutting
Computer Aided Geometric Design
A basis of multi-degree splines
Computer Aided Geometric Design
Explicit representations of changeable degree spline basis functions
Journal of Computational and Applied Mathematics
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A B-spline basis function is a piecewise function of polynomials of equal degree on its support interval. This paper extends B-spline basis functions to changeable degree spline (CD-spline for short) basis functions, each of which may consist of polynomials of different degrees on its support interval. The CD-spline basis functions possess many B-spline-like properties and include the B-spline basis functions as subcases. Their corresponding parametric curves, called CD-spline curves, are like B-spline curves and also have many good properties. If we use the CD-spline basis functions to design a curve made up of polynomial segments of different degrees, the number of control points may be decreased.