Pre-Step and Post-Step Deformation Schemes for Fastening Band-Shaped Twisted Cloth

We have developed a simulation program that presents the process of fastening band-shaped cloth objects. These objects are twisted in 3D space to mimic the movements of tying garments such as Kimono sash. Even using extensive collision handling, this simulation is tough. The difficulty lies in the complex object contacts: The movements of different parts of a long contiguous deformable object conflict with each other causing numerous collisions during the fastening process; Such collisions cause implausible deformations; Moreover, the collisions in different angles are prone to fatal penetrations that are not simple to remove. We propose three schemes to solve these problems. One is a pre-step mechanical scheme for calculating fastening force to move the object smoothly. Other two are a post-step geometrical correction scheme to smooth deformations and a set of schemes to remove penetrations. These schemes proved to enable robust and visually realistic simulations with low cost.