期刊
ACM TRANSACTIONS ON GRAPHICS
卷 42, 期 4, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3592393
关键词
discrete differential geometry; digital fabrication; architectural geometry; computational design; inverse design; deployable structure; spherical paneling
This paper introduces the concept of C-mesh to capture kinetic structures that can be deployed from a collapsed state. The Quadrilateral C-meshes have rich geometry properties and surprising relations with differential geometry. The paper also presents tools for exploring the shape space of C-meshes and an application for freeform architectural skins.
We introduce the new concept of C-mesh to capture kinetic structures that can be deployed from a collapsed state. Quadrilateral C-meshes enjoy rich geometry and surprising relations with differential geometry: A structure that collapses onto a flat and straight strip corresponds to a Chebyshev net of curves on a surface of constant Gaussian curvature, while structures collapsing onto a circular strip follow surfaces which enjoy the linear-Weingarten property. Interestingly, allowing more general collapses actually leads to a smaller class of shapes. Hexagonal C-meshes have more degrees of freedom, but a local analysis suggests that there is no such direct relation to smooth surfaces. Besides theory, this paper provides tools for exploring the shape space of C-meshes and for their design. We also present an application for freeform architectural skins, namely paneling with spherical panels of constant radius, which is an important fabrication-related constraint.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据