We focus on the programming aspect of the treatment of digitized geometries for subsequent use in mesh-free and mesh-based numerical solvers. That perspective includes the description of our C/C++ implementations which use OpenGL for the visualization and MFC classes for the user interface. We report on our experience about implementing with the IGES interface which serves as input for storage of geometric information. For mesh-free numerical solvers, it is helpful to decompose the boundary of a given solid into a set of four-sided surfaces. Additionally, we will describe the treatment of diffeomorphisms on four-sided domains by using transfinite interpolations. In particular, Coons and Gordon patches are appropriate for dealing with such mappings when the equations of the delineating curves are explicitly known. On the other hand, we show the implementation of the mesh generation algorithms which invoke the Laplace-Beltrami operator. We start from coarse meshes which one refine according to generalized Delaunay techniques. Our software is also featured by its ability of treating assembly of solids in B-Rep scheme.

We focus on the programming aspect of the treatment of digitized geometries for subsequent use in mesh-free and mesh-based numerical solvers. That perspective includes the description of our C/C++ implementations which use OpenGL for the visualization and MFC classes for the user interface. We report on our experience about implementing with the IGES interface which serves as input for storage of geometric information. For mesh-free numerical solvers, it is helpful to decompose the boundary of a given solid into a set of four-sided surfaces. Additionally, we will describe the treatment of diffeomorphisms on four-sided domains by using transfinite interpolations. In particular, Coons and Gordon patches are appropriate for dealing with such mappings when the equations of the delineating curves are explicitly known. On the other hand, we show the implementation of the mesh generation algorithms which invoke the Laplace-Beltrami operator. We start from coarse meshes which one refine according to generalized Delaunay techniques. Our software is also featured by its ability of treating assembly of solids in B-Rep scheme.