Improved Newton Iterative Algorithm for Fractal Art Graphic Design
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Fractal art graphics are the product of the fusion of mathematics and art, relying on the computing power of a computer to iteratively calculate mathematical formulas and present the results in a graphical rendering.
The selection of the initial value of the first iteration has a greater impact on the final calculation result.
If the initial value of the iteration is not selected properly, the iteration will not converge or will converge to the wrong result, which will affect the accuracy of the fractal art graphic design.
Aiming at this problem, this paper proposes an improved optimization method for selecting the initial value of the Gauss-Newton iteration method.
Through the area division method of the system composed of the sensor array, the effective initial value of iterative calculation is selected in the corresponding area for subsequent iterative calculation.
Using the special skeleton structure of Newton’s iterative graphics, such as infinitely finely inlaid chain-like, scattered-point-like composition, combined with the use of graphic secondary design methods, we conduct fractal art graphics design research with special texture effects.
On this basis, the Newton iterative graphics are processed by dithering and MATLAB-based mathematical morphology to obtain graphics and then processed with the help of weaving CAD to directly form fractal art graphics with special texture effects.
Design experiments with the help of electronic Jacquard machines proved that it is feasible to transform special texture effects based on Newton's iterative graphic design into Jacquard fractal art graphics.
American Psychological Association (APA)
Chen, Huijuan& Zheng, Xintao. 2020. Improved Newton Iterative Algorithm for Fractal Art Graphic Design. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1143048
Modern Language Association (MLA)
Chen, Huijuan& Zheng, Xintao. Improved Newton Iterative Algorithm for Fractal Art Graphic Design. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1143048
American Medical Association (AMA)
Chen, Huijuan& Zheng, Xintao. Improved Newton Iterative Algorithm for Fractal Art Graphic Design. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1143048
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143048