Computational origami is the computer assisted study of origami as a branch of science of shapes. The origami construction is a countably finite sequence of fold steps, each consisting in folding along a line. In this paper, we formalize origami construction. We model origami paper by a set of faces over which we specify relations of overlay and adjacency. A fold line is determined by a specific fold method. After folding along the fold line, the structure of origami is transformed; some faces are divided and moved, new faces are created and therefore the relations over the faces change. We give a formal method to construct the model origami. The model furthermore induces a graph of layers of faces. We give two origami examples as the application of our model. They exhibit non-trivial aspects of origami which are revealed only by formal modeling. The model is the abstraction of the implemented core of the system of computational origami called Eos (E-origami system). © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Ida, T., Takahashi, H., Marin, M., & Ghourabi, F. (2007). Modeling origami for computational construction and beyond. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4706 LNCS, pp. 653–665). Springer Verlag. https://doi.org/10.1007/978-3-540-74477-1_60
Mendeley helps you to discover research relevant for your work.