GEOMETRY OF AXISYMMETRIC 3 D ORIGAMI CONSISTING OF TRIANGLE FACETS
GEOMETRY OF AXISYMMETRIC 3 D ORIGAMI CONSISTING OF TRIANGLE FACETS
复制标题
由三角形面组成的轴对称 3D 折纸的几何形状
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
J. Mitani
中科院分区：
文献类型：
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作者：
Yan Zhao;Yoshihiro Kanamori;J. Mitani
折纸是一种将纸折叠成三维（3D）形式的艺术，在几何、数学和工程领域受到了广泛关注。近年来，人们提出了几种三维折纸设计方法，并产生了许多富有创意的折纸作品。本文针对一类由轴对称结构的三角形面构成的三维折纸，提出了一种新的三维折纸设计方法。该方法以交互方式设计旋转对称折痕图，并进行实时人机交互的三维折纸模型解析计算。所提出的方法使我们能够改变一个参数来变形三维折纸模型，同时保持轴对称结构。通过改变另一个参数，我们的方法产生了一种被称为“弧形方向平折”的三维折纸模型。通过使用我们的原型系统，我们在实际制作之前交互式地探索各种折纸设计。给出了几个三维折纸件和折叠序列来验证该方法的有效性。
Origami, the art of folding a piece of paper into a three-dimensional (3D) form, has received much attention in geometry, mathematics, and engineering. In recent years, several approaches for designing 3D origami have been proposed, and many creative origami pieces have been generated. In this paper, we propose a novel 3D origami design method for a new category of 3D origami that is constructed with triangle facets with axisymmetric structure. Our method interactively designs a rotationally-symmetric crease pattern and then analytically calculates the 3D origami model with real-time human interaction. The proposed method enables us to change one parameter to deform the 3D origami model while preserving the axisymmetric structure. By changing another parameter, our method leads to a way of folding a 3D origami model called “arc-direction flat-folding”. By using our prototype system, we interactively explore various origami designs before actually making them. Several 3D origami pieces and folding sequences are presented to demonstrate the validity.
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发表时间：
2010
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影响因子：
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作者：
Tomohiro Tachi
通讯作者：
Tomohiro Tachi