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A Geometric Study of V-style Pop-ups: Theories and Algorithms

机译:V型弹出窗口的几何研究:理论和算法

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摘要

Pop-up books are a fascinating form of paper art with intriguing geometric properties. In this paper, we present a systematic study of a simple but common class of pop-ups consisting of patches falling into four parallel groups, which we call v-style pop-ups. We give sufficient conditions for a v-style paper structure to be pop-uppable. That is, it can be closed flat while maintaining the rigidity of the patches, the closing and opening do not need extra force besides holding two patches and are free of intersections, and the closed paper is contained within the page border. These conditions allow us to identify novel mechanisms for making pop-ups. Based on the theory and mechanisms, we developed an interactive tool for designing v-style pop-ups and an automated construction algorithm from a given geometry, both of which guaranteeing the pop-uppability of the results.
机译:立体书是一种有趣的纸艺形式,具有令人着迷的几何特性。在本文中,我们对一个简单但通用的弹出窗口类别进行了系统的研究,该弹出窗口类别由分成四个平行组的补丁组成,我们将其称为v型弹出窗口。我们提供了足以弹出v型纸结构的充分条件。即,它可以在保持补丁的刚性的同时被平坦地关闭,关闭和打开除了保持两个补丁之外不需要额外的力并且没有相交,并且封闭的纸张包含在页面边界内。这些条件使我们能够确定用于制作弹出窗口的新颖机制。基于该理论和机制,我们开发了一种用于根据给定的几何设计v型弹出窗口的交互式工具和一种自动构造算法,这两种方法都可以保证结果的弹出性。

著录项

  • 来源
    《ACM Transactions on Graphics》 |2011年第4期|p.98.1-98.10|共10页
  • 作者单位

    TNList, Department of Computer Science and Technology, Tsinghua University, Beijing;

    Department of Computer Science and Engineering, Washington University in St. Louis;

    TNList, Department of Computer Science and Technology, Tsinghua University, Beijing;

    TNList, Department of Computer Science and Technology, Tsinghua University, Beijing;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    pop-up; computer art; geometric modeling;

    机译:弹出;计算机艺术;几何造型;

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