@article{oai:tsukuba.repo.nii.ac.jp:00049243, author = {金森, 由博 and KANAMORI, Yoshihiro and 三谷, 純 and MITANI, Jun and Zhao, Yan and Endo, Yuki}, issue = {4}, journal = {Journal of Computational Design and Engineering}, month = {Oct}, note = {Origami has received much attention in geometry, mathematics, and engineering due to its potential to construct 3D developable shapes from designed crease patterns on a flat sheet. Waterbomb tessellation, which is one type of traditional origami consisting of a set of waterbomb bases, has been used to create geometrically appealing 3D shapes and been widely studied. In this paper, we propose a method for approximating target surfaces, which are parametric surfaces of varying or constant curvatures, using generalized waterbomb tessellations. First, we generate a base mesh by tiling the target surface using waterbomb bases. Then, by applying a simple numerical optimization algorithm to the base mesh, we achieve a developable waterbomb tessellation, which can be developed onto a plane without stretching. We provide a prototype system using which the user can adjust the resolution of the tessellation and modify waterbomb bases. Our work could expand the exploration of building developable 3D structures using origami.}, pages = {442--448}, title = {Approximating 3D surfaces using generalized waterbomb tessellations}, volume = {5}, year = {2018}, yomi = {カナモリ, ヨシヒロ and ミタニ, ジュン} }