Abstract
Initially Characteristic Topology Method (CTM) was proposed for objects topologically the ball to generate quadrilateral meshes on it without self-intersections of dual cycles. The last condition for the surface meshes is necessary for further hexahedral mesh generation according to Hannemann's approach called Dual Cycle Elimination Method. The CTM itself determines three kinds of templates that helt to generate basic dual cycles and satisfy mentioned requirements. The way of template application allows topology different from the ball such as a surface with arbitrary number of holes. This property encourages investigatinng 3D space and solid mesh for complex objects without its decomposition. The coarse and dense parts of the mesh can be defined from nodal structure and generation of additional characteristic dual cycles for each basic dual cycle. The combination of the latter dual cycles for different basic ones provides verity of local mesh structure that one may choose due to demand for further analysis.
