A Bi-phase Model of Folding Origami Interactively with Gap Representation

We have developed an Origami system in which we can fold a sheet of paper freely. In mathematical model, two held sides of paper can be overlapped flatly. However, in real paper, the sides often make a gap between them because of physical restrictions. In this paper, we formalize “folding” in Origami and discuss how to make such “gap” in 3D Origami simulation system to make it more realistic. We apply a biphase model, which consists of two models. One of them is mathematical model for managing folding, and the other is graphical gap-model for representing Origami with gaps. We show Origami figures made by the two models and discuss the effect of the method we applied and some problems to be solved.