Singularity theoretical modeling and animation of garment wrinkle formation processes

To understand the nature of garments as worn, it is essential to model and animate the formation process of garment wrinkles. Because the number of components making up a garment is extremely high, simulating its behavior under dynamic constraints requires a very large amount of computation, and the result is difficult to analyze and understand. We show that exploiting geometric features of wrinkles can greatly increase the understandability of the computed result, while not much increasing the amount of computation needed. We present the modeling primitives of garment wrinkles, which can suitably represent geometric features of wrinkles under the dynamic constraints. Extracting geometric features based on singularity theory enables us to model the qualitative shape change of wrinkles. The formation process of wrinkles is animated by using these primitives.