Fuzzy inference of textile animation based on Explicit Midpoint rule

In this paper, we propose a real-time animation technique for textile using fuzzy inference. The modeling of textile leads to partial differential equations. Generally, textile animation is formulated as a time-varying partial differential equation which, after discretization, is numerically solved as an ordinary differential equation. However, all of these studies suffer from the same problem: the time step must be inversely proportional to the stability. One of the simplest physically-based models is the Mass-Spring model. A textile is approximated by a set of masses linked by springs. Therefore, we must calculate the movement of mass in order to animate a deformable object. But it is not easy because very small time steps are required to ensure stability. We introduce a fast and stable method to animate a textile based on Explicit Midpoint rule. We demonstrate the efficiency of this method with textile animation using fuzzy inference.