Computer-generated tie-dyeing pattern

We present a novel method to simulate tie-dyeing patterns considering 3D folded cloth geometry with user interaction. Morimoto et al. propose a dye transfer model that accounts for dyeing theories by considering parameters of weave structure, dyestuffs and cloth [Morimoto et al. 2007]. However this model does not consider a behavior of dye and distribution of protection against dyeing in 3D cloth geometry. We improve this model to consider 3D folded cloth geometry. In the process of tie-dyeing, cloth is folded and tied, and then dipped into dye bath. In a dyebath, the dyestuffs penetrate from the outside surface parts of folded cloth that are exposed to the dyebath directly. The other fluttery parts of the cloth possibly become the surface parts in the dyebath. Our method calculates such fluttery parts and the ratio to supply dyestuffs of the parts. Also, our dye diffusion model considers edges by folding cloth. This technique enables to obtain various tie-dyeing patterns from simple user inputs while it is difficult to predict the final figure of real tie-dyeing.