With this method,the mathematical mode for the degree reduction of B-spline curves is established by the transformation matrix of B-spline bases,and then the problem of degree reduction of B-spline curves is turned into the problem of getting the least squares solution of a linear equation system.

Fast image interpolation is implemented by means of fast B-spline transform.

Zernike moment invariants, Haar moment invariants, Shannon moment invariants and B spline moment invariants were calculated respectively in human facial expression images.

In The uniform B spline with shape parameter of seven order is given.

In this paper the uniform B Spline with shape parameter of five degree was given,of which the uniform B Spline of five degree is a special example.

Gives　the　uniform　B　spline　with　shape　parameter　of　six　order.

The transformation between the B-spline basis and the truncation basis of the cubic spline functions;

However, the B-spline basis is not orthogonal, this thesis discusses the orthogonalbasis in 3-degree spline space.

The system's model was gained by Hamilton principle,in which the active flexible isolation system was simplified by beam element with electric DOFs and space conversion matrix.

In order to exert its effect on geometric design, we should use a simple method to derive the conversion matrix from the Bernstein basis to the Wang Ball basis.