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In this research, a system for designing curved folding interactively on a computer is proposed. This system is an extension of an existing system for designing curved folding using a curve similar to the crease, called a handle curve. Our new proposal of a sub-handle curve can be used to create a curved folding in which all the rulings do not intersect instead of creating gaps in the crease pattern. There is a tradeoff between the gaps in the crease pattern and the intersection of the rulings, and the user can easily manipulate this relationship through the distance from the crease that is set when creating the sub-handle curve. As a result, it is now possible to design curved folding that includes inflection points and uses a twisted curve as the crease.

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Shape Modeling of Developable Surfaces with a Curve Crease by Extending the Handle Curve Approach

  • 会议论文

  • 发表日期：

    2026年

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  • Sora Seshima,
  • Jun Mitani

摘要

In this research, a system for designing curved folding interactively on a computer is proposed. This system is an extension of an existing system for designing curved folding using a curve similar to the crease, called a handle curve. Our new proposal of a sub-handle curve can be used to create a curved folding in which all the rulings do not intersect instead of creating gaps in the crease pattern. There is a tradeoff between the gaps in the crease pattern and the intersection of the rulings, and the user can easily manipulate this relationship through the distance from the crease that is set when creating the sub-handle curve. As a result, it is now possible to design curved folding that includes inflection points and uses a twisted curve as the crease.