查找形式与多面体网格变得简单

Chengcheng Tang, Xiang Sun, A. Gomes, J. Wallner, H. Pottmann
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引用次数: 81

摘要

采用形式、功能、加工相结合的方法解决多面体网格的找形问题;考虑用户指定的约束,如边界插值、面平面度、静态、面板尺寸和形状、封闭体积和成本。我们的主要应用是建筑和工业设计网格的交互建模。我们的方法可以被描述为对约束空间的引导探索,其代数结构通过引入辅助变量并确保约束最多是二次的来简化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Form-finding with polyhedral meshes made simple
We solve the form-finding problem for polyhedral meshes in a way which combines form, function and fabrication; taking care of user-specified constraints like boundary interpolation, planarity of faces, statics, panel size and shape, enclosed volume, and cost. Our main application is the interactive modeling of meshes for architectural and industrial design. Our approach can be described as guided exploration of the constraint space whose algebraic structure is simplified by introducing auxiliary variables and ensuring that constraints are at most quadratic.
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