Abstract
Several software programs for designing origami shapes, which is made by folding a single sheet of paper, have been recently developed. We can now obtain a variety of origami pieces by using them. However, the basic forms of the shapes are still limited since a software program bounds the forms by its algorithm. In this paper, we propose a new approach for designing origami shapes based on the sweep and reflection operations. As an example, a column-shaped origami object with a relief structure is designed using our method. The shape is defined by a profile polyline and a trajectory polyline that are input by the user. We developed a system on which the user inputs and edits the polylines to generate both the crease pattern and the 3DCG model of the origami object in real time. With the tools implemented in our system, the user can design a wider variety of shapes in a trial-and-error manner while seeing the effects of their operations. Thus, users can easily design stable and geometrically attractive shapes. We indicate the effectiveness and the potential of our system by showing some examples.
