Modeling method of Waterbomb paper folding structure with generalized cylinder geometrical characteristics

Abstract

The invention discloses a Waterbomb origami structure modeling method with generalized cylinder geometrical characteristics, which comprises the following steps of: S1, designing a two-dimensional profile curve through an interactive model construction method, and performing scanning along a y axis by utilizing the curve to generate a three-dimensional target curved surface with the generalized cylinder geometrical characteristics; s2, paving a Waterbody base on the curved surface of the three-dimensional target to generate a basic grid model; s3, using a numerical optimization algorithm to minimize the flattened foldable residual amount of the basic grid model; s4, adjusting the expanded graph of the optimized model, reducing the flattened folding residual, and ensuring the scale independence of the folding structure; and S5, simulating rigid folding motion controlled by a single variable along the y axis. According to the method, the mirror symmetry and the periodic repeatability of the Waterbomb origami structure are considered, and the modeling efficiency and the numerical optimization efficiency are improved. The method may be used to design folded structures for various engineering purposes, such as foldable blindages, tubular foldable structures, metamaterials, and the like.

Description

technical field [0001] The invention relates to the field of three-dimensional modeling in computer graphics, and relates to a Waterbomb origami structure modeling method with generalized cylinder geometry characteristics. Background technique [0002] Origami is an ancient oriental art of folding paper, which is not only a favorite of origami lovers, but also attracts great interest from mathematicians, scientists and engineers. Origami provides an efficient way to construct three-dimensional structures by folding two-dimensional unfolded graphs. Waterbomb is one of the traditional origami styles, and there are two types, six-fold units and eight-fold units. The texture unit used in the present invention is a group of Waterbomb base (mine unit) based on six folds. The unit has mirror symmetry and contains four valley folds and two mountain folds at the central point. [0003] Waterbomb is also one of the most widely studied and applied origami styles, which has great res...

AI Technical Summary

Problems solved by technology

With existing techniques, it is challenging to interactively design origami shapes due to the inherent geometric constraints that limit the modeling process

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