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Implementing and applying method of paper folding structure

A technology of origami structure and realization method, applied in special data processing applications, image data processing, instruments, etc., can solve problems such as inconvenience and limited types of origami structures.

Inactive Publication Date: 2015-02-25
SHANGHAI JIAO TONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

It can be seen that there is currently a lack of a method that allows engineers or researchers to easily use a computer to obtain a large number of potential origami structure designs for a practical problem, so as to select the best origami structure suitable for the problem from these design solutions.

Method used

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  • Implementing and applying method of paper folding structure
  • Implementing and applying method of paper folding structure
  • Implementing and applying method of paper folding structure

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0036] This embodiment design obtains the Miura structure, first determine the point coordinates and Such as image 3 As shown, its parameter equation is:

[0037] V i x = 2 i - 1 2 a cos α 0 ( - 1 ) i - 1 2 a...

Embodiment 2

[0044] Design process for curved origami structures.

[0045] Determine point coordinates and Figure 6 As shown, its parameter equation is:

[0046] V i x = 2 i - 1 2 a cos α 0 ( - 1 ) i - 1 2 a ...

Embodiment 3

[0061] The design process of wedge-shape origami structures.

[0062] Determine point coordinates and Its parameter equation is:

[0063] V i x = 2 i - 1 2 a cos α 0 ( - 1 ) i - 1 2 a ...

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PUM

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Abstract

Disclosed is an implementing and applying method of a paper folding structure in the technical field of computer image processing. The implementing and applying method includes connecting all adjacent vertexes by straight lines after determining coordinates of m points in an x-z plane and of n+2 points in a y-z plane in a three-dimensional coordinate system, wherein every three connecting line segments connected end to end form a plane, and all connecting line segments form a three-dimensional paper folding structure; mapping the coordinates of the vertexes of the three-dimensional paper folding structure into the coordinates of the vertexes in a two-dimensional plane, connecting the adjacent vertexes in the two-dimensional plane to obtain a planar fold line pattern of the three-dimensional paper folding structure, projecting the line segments and the vertexes of the planar fold line pattern into a plane sheet and processing to obtain a required three-dimensional paper folding structure. The implementing and applying method is easy to realize by programming in a computer and can directly design to obtain various geometric shapes of accurate paper folding structures in the three-dimensional space.

Description

Technical field [0001] The present invention involves a method of computer image processing technology, which is specifically the implementation and application method of origami structure that is convenient for the implementation of paper in computer programs. Background technique [0002] The origami structure has a wide range of uses, for example, it can be used as a suction material (MA J (2011) Thin-Walled Tubes with Pre-Foldedodedoded Origami Patterns As Energy Absorption Devices.phd TheSisFilling materials for aircraft structure components ( Architectural components (ELSAYED EA, Basily BB (2004) A Continuous Folding Process for Sheet Materials.int J Mater PROD Technol21: 217-238.), Miura K, NATORI M (1985) 2-D Array Experiment on Board A Space Flyer Unit.space Solar Power Rev5 (4): 345-356), designing effective shopping bags or maps (wu w, You Z (2011) A SOLUTION RIGID TALL SHOPPING BAGS.ProC.R.SOC.A467 (2133): 2561-2574.), Kuribayashi K, ET A1. (2006) Self-DEPLOYable Ori...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06T17/00
Inventor 周翔Y·衷汪海
Owner SHANGHAI JIAO TONG UNIV
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