Application Research Of Fractal Geometry In The Field Of Intelligent Art Design

Fractal art graphics are the product of the fusion of mathematics and art.It relies on the computing power of computers to iterate mathematical formulas and present the results in a graphical rendering.Based on the graphics generated by the simple iterative formula,combined with the designer's color matching and different transformation combinations,the artistic characteristics of the fractal graphics can be fully utilized,resulting in a great visual impact.Self-similarity,infinite fineness,and extreme irregularity are three characteristics of fractal graphics themselves.The artistic expression of fractal graphics is based on many traditional aesthetics(balance,harmony,symmetry)and breaks the standard of conventional aesthetics in a unique way.The generation of fractal geometry breaks through the visual angularity that Euclidean geometry can't cross.Although the graphics have extremely irregular characteristics,they are not cluttered,embodying the order in chaos,the richness in unity,and giving people a unique aesthetic sense with a special aesthetic perspective.At present,the artistic application of fractal graphics mainly focuses on clothing,textiles,decorative painting,architectural design and so on.From the point of view of automation design,the fractal graph generated by fractal geometry theory is taken as the research object,and a self-combining nonlinear transformation modeling method is proposed,which can realize the automatic generation of fractal graphics.In order to meet the needs of practical applications,a method for automatically generating quadrilateral continuous patterns is proposed to solve the disadvantages of single design of fractal graphics and strong manual dependence of continuous pattern design.Finally,in order to further explore the artistic value of fractal graphics,the neural style migration algorithm is used to transfer the artistic elements of other excellent works to the fractal map.The secondary development of fractal graphics has been realized.The main work of this paper is summarized as follows:(1)Art graphic design based on self-combining nonlinear function transformation.On the basis of analyzing the classical fractal graph generation algorithm and realizing the corresponding graph,a fractal graph generation algorithm based on self-combining nonlinear transform is proposed based on the single fractal and small type of fractal graph mathematical model.Based on the Apophysis source code,A variety of new models of adaptive changes have been developed to generate fractal art graphics in batches,and to render and build fractal graphic datasets.The rendered fractal map is applied to the customization of products such as scarves,cushions,umbrellas,computer bags and mobile phone cases.(2)Design and implementation of automatic generation method of square continuous pattern based on content features.Aiming at the practical application requirements of fractal graphics in garment pattern design,a method of automatically extracting the core base pattern based on fractal graphics content and generating a square continuous pattern is proposed.The method first uses the Canny operator to perform edge detection,analyzes the area of the main pattern,and then extracts and analyzes the texture features using the gray level co-occurrence matrix.On this basis,the best stitching method is selected to splicing the extracted patterns to achieve the splice and realized two kinds of four-party continuous splicing method.The method has the advantages of low complexity,versatility and good practicability under the premise of ensuring the beautiful appearance of the generated square continuous pattern.It can help designers design patterns,improve work efficiency and save design costs.(3)Art style extraction and transfer.Neural-style transfer can change the artistic style through texture synthesis on the basis of retaining the shape structure,breaking the limitations of a single artistic style,and forming new graphics for new products.In this paper,based on the fractal atlas and the contrast style transfer method,based on the optimization of the style transfer algorithm based on the perceptual loss network,the fractal style picture features are extracted to give the style weight interval,and the different art styles are transferred to the fractal graphic data set to generate different Series of art graphics.