Isotropic surface remeshing for modern architecture

In modern architectural freeform design, the relation between shape and fabrication poses new challenges. Architects design aggressive free form shapes, but wish to control costs and time for fabrication. One way to lower costs and time are by standardization of components. In this thesis, a new method for canopy and skin design is proposed to assist standardization. This enhanced isotropic re-meshing algorithm can produce a good starting point for standardized meshing of curved canopy or skin surfaces. Further, we also consider some heuristics for improving the standardization of components. We start from a piece of 3D surface, S, and an arbitrary triangulation of S. We propose a simple mechanism to standardize the boundary edges of this triangulation. Second, we find a mechanism to produce an isotropic re-meshing on the interior of S. This step uses a modified version of isotropic meshing using Lloyd relaxation for creating centroidal Voronoi diagrams using Lloyd relaxation. Thirdly, we propose some simple methods to further standardize the resulting isotropic mesh