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This paper applies a complete parametric set for approximating the geometryof a quadrilateral element. The approximation basis used is a complete Pascalpolynomial of second order with six free parameters. The interpolationprocedure is a natural interpolation scheme. The six free parameters aredetermined using the natural coordinates of the four nodal points (vertices) ofthe quadrilateral element and the two intersections points of the linescrossing every two opposite edges (poles). The presented scheme recovers thewell known Lagrangian interpolation scheme, when every two opposite edges areparallel. A third order Pascal interpolation scheme is also presented. The fourmidpoints of the four edges in addition to the six nodal point from the secondorder case are used as significant nodal points. It is expected to reflect thegeometry properties better since the shape functions are complete

Complete Pascal Interpolation Scheme For Approximating The Geometry Of A Quadrilateral Element