Shape Design and Deformation Simulation of Origami with Curved Folds

2022 Fiscal Year Final Research Report

• Project/Area Number: 19K12677
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 90010:Design-related
• Research Institution: University of Tsukuba
• Principal Investigator: Mitani Jun 筑波大学, システム情報系, 教授 (40392138)
• Project Period (FY): 2019-04-01 – 2023-03-31
• Keywords: 折り紙 / 形状モデリング / 可展面 / 曲面

Outline of Final Research Achievements

The following three main issues were addressed with the aim of supporting the design of shapes of developable surfaces that include folding with spatial curves. (1) development of a system to generate a three-dimensional shape after folding based on crease information placed on a plane and specification of parameters necessary for shape generation; (2) development of a system to simulate the deformation process and obtain a three-dimensional shape after folding; and (3) a method to manipulate the folded shape interactively. All of these are done by discretizing smooth surfaces into a set of planar quadrilaterals. Through these various methods, we have contributed to the creation of a foundation for generating, manipulating, and analyzing curved fold shapes.

Free Research Field

形状モデリング

Academic Significance and Societal Importance of the Research Achievements

曲線の折り目を持つ可展面形状の設計、操作、解析に貢献するものであり、これまで計算機で設計可能とされてきた折り紙の形状のすそ野を大きく広げるものである。曲線で折ることは、すなわち平坦に折りたためないことを意味するため、ものをコンパクトに折りたたむ用途には適用できないが、金属板など工業的に広く用いられている素材を折るだけで作れる形状の設計対象が広がることによって、これまでにないデザインを活用した製品設計など、新しい応用が生まれるものと期待できる。