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Analysis of transforming matrices between Bezier basis functions and geometrically continuous basis functions is presented. It is shown that G2 transforming matrix has some relationship with G1 transforming matrix. Based on this relationship a method of calculating G1 basis functions is introduced, the degree of which is higher than quadratic. These basis functions are expressed explicitly via matrices decomposition. Equations for constructing G2 splines can be presented independently of geometric shape parameters' values.