Topological operations for editing the singularity on a hex mesh

摘要

This paper introduces topological operations for editing the singularity on a hex mesh while maintaining the connectivity of hexahedral mesh. The operations include (1) an enhanced column collapse operation that can avoid generating the poor-quality elements; (2) a column insertion operation that is the opposite operation of column collapse; (3) four semantic operations for achieving the movement of different types of singularity pairs based on column operations. To demonstrate their effectiveness, two related applications are provided. One is moving face-based hex mesh editing, in which the interface between the original mesh and the new region mesh is made structured using the semantic operations. The other is hex mesh structure simplification based on the topological operations.