Automatic pattern generation method based on fractal geometry

Abstract

The invention discloses an automatic pattern generation method based on fractal geometry, which comprises the generation of basic flower patterns and the generation of flower patterns with different layout modes, and comprises the following specific steps: generating basic elements of floral leaves through a hyper-elliptic curve function, and repeatedly iterating to generate floral leaf patterns;generating basic elements of petals through a rose curve function, and generating petal patterns through repeated iteration; generating a pistil pattern through a park hypocycloid function; generatinga flower core pattern through a rose curve and a circular curve function; combining the patterns in the above steps to generate a complete flower pattern; iterating the entire flower pattern by usinga transformation function to generate various pattern layouts, wherein layouts of flower patterns, such as a symmetric layout, a bilaterally continuous or a tetragonal continuous pattern, can be generated according to the difference in number of iterations. The method not only can effectively simulate traditional manual wax printing patterns, but also can quickly generate different layout patterns.

Description

technical field [0001] The invention relates to the technical field of pattern automatic generation, in particular to an automatic pattern generation method based on fractal geometry. Background technique [0002] The traditional batik production method is purely handmade, which has extremely low production efficiency and is not conducive to the protection and development of intangible cultural heritage. With the intelligent upgrading of my country's printing and dyeing industry, this working method is not suitable for the current situation. Therefore, computer graphics began to be used in pattern design to convert traditional batik patterns into digital patterns. The use of intelligent design technology to generate digital patterns is not only conducive to the digital protection of traditional batik patterns, enriching the diversity of batik patterns, but also adapting to the intelligent upgrading of my country's printing and dyeing industry. Applying digital technology t...

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Problems solved by technology

Cui Jia, based on the shape decomposition method, used free B-spline curves to derive the initial design concept and a new difference algorithm in Zhuang embroidery design, but its characteristic matrix is ​​specif

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