In this paper

a simple but effecient algorithm for automatic mesh generation over arbitrary polygonal domains is proposed. The algorithm can generate three different mesh topologies: an all triangular element mesh

a mixed mode element mesh(which consist of both quadrilateral and triangular elements) and an all quadrilateral element mesh. If an all triangular element mesh is the result mesh needed

the method the method can work just as other general triangulation method. If a mixed mode or all quadrilateral element mesh should be generated

the method can generate rectangles or squres as more as possible.