Laplacian in the Columnar and Spherical Coordinates;

The eigenfunction of Laplacian with the symmetry of tetrahedral group T_d and octahedron group O_h is constructed by representation and character.

The expression of Laplace operator in rotational ellip soid coordinates is given,and the electric potential is obtained by it in some c ases.

Objective: This paper introduces an edge detection method of blood cell image, which is based on (wavelet transform WT) and( laplace operator LO).

For certain initial conditions,we need only calculate their high order Laplace operator,then we can obtain the accurate solution of the initial value problem.

In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

A fourth order partial differential denoising method based on four directional Laplacian operator;

This paper reviewed three image denoising methods based on PDE such as φ-function,divergence-based PDE and diffusion PDE based on oriented Laplacian operator,and points out that new image denoising method based on complex diffusion can be formed by combining the diffusion equation with free Schrodinger equation.