A method for constructing G/sup 1/ continuous splines via matrix decomposition

Analysis of transforming matrices between Bezier basis functions and geometrically continuous basis functions is presented. It is shown that G/sup 2/ transforming matrix has some relationship with G/sup 1/ transforming matrix. Based on this relationship a method of calculating G/sup 1/ basis functions is introduced, the degree of which is higher than quadratic. These basis functions are expressed explicitly via matrices decomposition. Equations for constructing G/sup 2/ splines can be presented independently of geometric shape parameters' values.