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A digital art pattern drawing method with infinite symmetrical structure

A symmetrical structure and process pattern technology, applied in image data processing, 2D image generation, special data processing applications, etc., can solve the problems of single type of hyperbolic art pattern and loss of pattern boundary, etc., and achieve good aesthetics and economic application prospects Effect

Active Publication Date: 2021-03-23
JINGGANGSHAN UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0007] In view of the above-mentioned technical deficiencies, the purpose of the present invention is to provide a digital art pattern drawing method with an infinite symmetrical structure, to solve the shortcomings of the prior art that the hyperbolic art pattern type is single, and the details will be lost after the pattern boundary is enlarged.

Method used

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  • A digital art pattern drawing method with infinite symmetrical structure
  • A digital art pattern drawing method with infinite symmetrical structure
  • A digital art pattern drawing method with infinite symmetrical structure

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Embodiment Construction

[0050] Next, the technical solutions in the embodiments of the present invention will be apparent from the embodiment of the present invention, and it is clearly described, and it is understood that the described embodiments are merely embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, there are all other embodiments obtained without making creative labor without making creative labor premises.

[0051] Such as Figure 11 to 16 As shown in the two-class symmetrical group T (5, 4, 3) as an example, the unit disc is plotted into unit disc process patterns with shrimp and multi-treasure fish pattern symmetry, and by modifying unit disc process patterns Color information or mapping the unit disc process pattern to other regions, forming a new process pattern, as follows:

[0052] Step 1, equivalent symmetric unit disc: Figure 11 As shown, use the hyperbolic symmetrical group and the basic domain principle in the hyperbo...

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Abstract

The invention discloses an infinite-symmetrical-structure digital art pattern drawing method. The infinite-symmetrical-structure digital art pattern drawing method is implemented through the followingsteps of, firstly, according to the principles of symmetric hyperbolic groups and base domain in hyperbolic geometry, performing symmetric equivalent subdivision on a unit disk; secondly, drawing a hyperbolic triangle pattern in a vector format through vector software; thirdly, through hyperbolic geometry transformation technology, manufacturing a unit disc technical pattern; fourthly, through the conformal technology, manufacturing technical patterns in different styles. The patterns drawn through the infinite-symmetrical-structure digital art pattern drawing method is attractive in style and rich in variety, presents an infinite symmetrical structure within a finite domain and can be widely applied to the decoration fields such as textile printing, porcelain and packing material design.

Description

Technical field [0001] The present invention belongs to the field of art pattern visualization, and in particular, the present invention relates to a digital art pattern plotting method having an infinite symmetrical structure. Background technique [0002] VAP is a mathematical principle, using computer technology to understand and create an emerging field of art. Under the promotion of the American Mathematics Society and Mathematics Association, VAP has now become a research hotspot in Europe and America, and it is increasingly attached to Japan, but It started late in China. At present, the development trend of VAP has the following features: (1) emphasize the aesthetic value of the study results and the aesthetic value of crafts; (2) pay attention to the intersection of theory and application, the requirements for computing equipment are increasing; (3) Research results have good Economic potential. [0003] The traditional unit disc pattern VAP method is to use a hyperbolic...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T11/20G06F30/20
CPCG06T11/206G06F30/20
Inventor 欧阳培昌刘诗焕郭林兰自轩
Owner JINGGANGSHAN UNIVERSITY
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