Developing a Reasonably Smooth, Randomly Meshed Surface by Modifying Persson's Algorithm

The complications in merging meshes generated within different surface modeling applications have raised great concerns over the years. Meshes created in Finite Element Software such as Comsol Multiphysics are mostly triangular whereas those created in Matlab are squares, thus, cannot be transferred between the two platforms. In this paper, we focus on elevating a plane, using interpolation to assist in generating meshes of various kinds, and, most importantly, to ensure flexibility in transferring and integrating the meshing data between different meshing applications. We build on previous work to enhance the flexibility in mesh generation, its quality, and transfer between different surface modeling platforms. In addition, we generate a meshed quasi-planar random surface with a prescribed degree of smoothness.