The irrational function forms interpolation on a polygonal element with arbitrary nodal distribution was constructed by using mean value coordinates of polygonal elements.

In this paper,using mean value coordinates of polygon in computer graphics,the mean value interpolation method setting vertexes of polygon as interpolating nodes is presented.

A calculation method of coordinate operator matrix element of harmonic oscillator;

Using the theoretics and properties of squeezed coherent state,the matrix elements of any power of coordinate operator for harmonic oscillator is deduced; and the result is discussed.

Matrix element of coordinate operator ~l of harmonic oscillator is discussed by using coherent state and normal product.

To promote the efficient reuse of existing animation resources,an approach for transferring 3D animation from a source mesh to a target mesh based on mean value coordinates is proposed.

In this paper the initial coordinate operator and the initial momentum operator are taken separately as the complete set of dynamical variables for a two dimensional oscillator and the corresponding non stationary state wavefunctions of the two dimensional oscillator are derived.

In this paper the initial coordinate operator and the initial momentum operator are taken separately as the complete set of dynamical variables for a linear oscillator,and the corresponding non stationary state wavefunctions of the linear oscillator are derived.