A Parameterization to Design Worm Pairs of Planar Envelope Hourglasses

Worm pairs of planar envelope hourglass have many advanced meshing properties and potential applications. In order to design and produce worm pairs with standardization and serialization, and for the further study of the theoretical solid surface, a parameterization to design worm pairs of planar envelope hourglass is proposed and a parameterization software is developed. The development environment, and both the structure and the function of this software are introduced. This software is applied to an example, showing its practical advantage.