Mine origami folding method based on axial symmetry characteristic and application thereof

Abstract

The invention discloses a mine origami folding method based on an axial symmetry characteristic and application thereof, and the method mainly comprises the following steps: S1, designing a two-dimensional contour in an interactive modeling mode, and generating a three-dimensional target curved surface by employing the contour to rotate around a common axis; S2, tiling a mine unit on the target curved surface generated in the previous step to generate a basic grid model; S3, solving foldable geometric constraints by adopting a numerical optimization algorithm, and adjusting the expansion graphto reduce foldable residual errors; and S4, simulating the rigid folding process of the folding structure by adjusting a single variable. In the modeling process, the axisymmetric geometrical characteristics of the target model are considered, so that the modeling method for the paper folding structure of the mine reduces the complexity of data and improves the convergence rate of numerical optimization. Meanwhile, the foldable residual error is remarkably reduced, the scale-independent characteristic of the folding structure in scientific and engineering application is guaranteed, and a rigid folding sequence controlled by a single variable is shown.

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 based on axisymmetric geometric characteristics and an application thereof. Background technique [0002] With the joint development of multiple disciplines such as mathematics, materials science, and computer technology, origami structures have attracted widespread attention in various fields, and have inspired a large number of new research and application results. Among the many origami patterns, we will focus on Waterbomb (sea mine) origami. The origami structure consists of a set of Waterbomb bases (mine units); in the base unit, six crease lines intersect at an internal vertex. Naval mine origami is one of the most widely studied and applied origami patterns. The design method based on the generalized Waterbomb approximate 3D surface only solves the constraint of expandability, but not the constrain...

AI Technical Summary

Problems solved by technology

The design method based on the generalized Waterbomb approximate 3D surface only solves the constraint of expandability, but not the constraint of foldability; it shows that the resulting model based on their method cannot be rigidly folded into a compact state

[0003] Since the inherent geometric constraints limit the modeling process, the user cannot freely design a mine model that satisfies the geometric constraints

In addition, the lack of computational design methods will also limit the further development of research and applications based on origami structures.

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