Modification algorithm of Cubic B-spline curve interpolation

Abstract

Based on cubic B-Spline curve mathematical properties, theoretical analysis the cubic B-Spline curve recursive formula of Taylor development of first-order, derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed, change the interpolation increments can be amended cubic times B-Spline curves purpose. So this paper presents such a modified interpolation algorithm, which is combined with specific examples of matlab7.0 verifies that the algorithm is correct; it is consistent with a cubic B-Spline curve interpolation requirements.