An explicit derivation of discretely shaped Beta-spline basis functions of arbitrary order

[1]  Abraham Lempel,et al.  Systematic derivation of spline bases , 1992, Comput. Aided Geom. Des..

[2]  Tony DeRose,et al.  Geometric continuity of parametric curves: three equivalent characterizations , 1989, IEEE Computer Graphics and Applications.

[3]  Ron Goldman,et al.  On beta-continuous functions and their application to the construction of geometrically continuous curves and surfaces , 1989 .

[4]  J. A. Gregory.  Geometric continuity , 1989 .

[5]  Nira Dyn,et al.  Piecewise polynomial spaces and geometric continuity of curves , 1989 .

[6]  Tim N. T. Goodman,et al.  Manipulating Shape and Producing Geometuic Contnuity in ß-Spline Curves , 1986, IEEE Computer Graphics and Applications.

[7]  T. Goodman.  Properties of ?-splines , 1985 .

[8]  C. D. Boor,et al.  On Calculating B-splines , 1972 .

[9]  C. U. Frankenburg.  An Author's Comment , 1962, Mental health.

[10]  B. Barsky,et al.  A Symbolic Derivation of Beta-splines of Arbitrary Order , 1991 .

[11]  Tony DeRose,et al.  Geometric continuity of parametric curves: constructions of geometrically continuous splines , 1990, IEEE Computer Graphics and Applications.

[12]  Nira Dyn,et al.  ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES , 1987 .

[13]  B. Barsky.  The beta-spline: a local representation based on shape parameters and fundamental geometric measures , 1981 .

[14]  Richard Franklin Riesenfeld,et al.  Applications of b-spline approximation to geometric problems of computer-aided design. , 1973 .

[15]  G. Geise,et al.  Über berührende Kegelschnitte einer ebenen Kurve , 1962 .