Construção de Superfícies Suaves com Continuidade Geométrica

ABSTRACT In the computational modeling of solids, the construction of a smooth surface is one of the fundamental requirements in order to apply numerical methods, particularly the Boundary Element Methods. In addition, it is required in many other applications such as computer animation models and reconstruction of medical images. All these applications have the geometric continuity G 1 as the fundamental condition for generating smooth surfaces. In this study, the technique of constructing smooth geometries from boundary curves is used. For this construction, the geometric coordinates and the normals of vertices of the triangular patches are required. Because these informations are not immediately available, especially the normal vector, in this study, the computer graphics software named Blender TM is used to overcome this gap in the acquisition of input data. Thus, the procedure for creating the triangular patches with continuity G 1 and the algorithm for obtaining initial information are presented. An excellent efficiency in imposing of the smoothness and ac-curacy in geometrical representation is observed for both globally parametric and globally non-parametric surfaces.