Isogeometric Analysis on Bi-Variate Bézier Triangulation

Abstract

The main objectives of this thesis are twofold: firstly, to develop an automated process for surface parameterization using a set of bounding surfaces, and secondly, to enable the calculation of individual meshes within the domain. The proposed methodology ensures the preservation of precise geometric details while achieving an optimal design. By employing a triangular discretization technique, even intricate geometric domains can be accurately modeled. To create the mesh, an automatic mesh generator is employed, utilizing a Quadtree construction approach.