A system and method of creating a smooth analytical representation of a geometry using a discrete set of points. A meshfree representation of the geometry is generated. The representation includes a set of points. A starting point and an edge length range are then used to generate a set of vertices from the set of points. The vertices are used to generate a coarse mesh, which, in turn, is used to generate a Reproducing Kernel Element Method (RKEM) representation of the geometry. The points of the meshfree representation that were not included in the set of vertices are then applied to the RKEM representation. The quality of the RKEM representation is assessed and compared to a predetermined standard. Additional sets of vertices from the meshfree representation are generated repeatedly and all remaining operations are repeated until the quality of the RKEM at least meets the predetermined standard. This provides a smooth, analytical RKEM representation of the geometry.