Article: SA-enhanced PSO Newton algorithm for fractal art graphic design Journal: International Journal of Information and Communication Technology (IJICT) 2025 Vol.26 No.18 pp.86 - 99 Abstract: Fractal art graphic design has been very popular in recent years. Specifically, there are many researches on computational graphics and scientific visualisation. As a result, we propose a SA-enhanced PSO Newton interactive algorithm for efficient fractal art generation. The method integrates simulated annealing (SA) with the PSO-enhanced Newton iterative algorithm together, improving the exploration ability. This combination also prevents early convergence, resulting in high-quality fractal art generation. The entire process of our algorithm is: firstly, the SA is used to enhance the optimisation ability of particle swarm optimisation (PSO) algorithm; subsequently, we use the Newton-Raphson method to produce high-quality fractal images with the SA-PSO-optimised parameters. According to our experimental results, the proposed method achieves significant enhancement in computational efficiency and generates high-quality images. This proves that our method can be used as an efficient tool for fractal art design in computer graphics. Inderscience Publishers - linking academia, business and industry through research

Title: SA-enhanced PSO Newton algorithm for fractal art graphic design

Authors: Ning Ma

Addresses: Shangqiu University, Shangqiu 476000, China

Abstract: Fractal art graphic design has been very popular in recent years. Specifically, there are many researches on computational graphics and scientific visualisation. As a result, we propose a SA-enhanced PSO Newton interactive algorithm for efficient fractal art generation. The method integrates simulated annealing (SA) with the PSO-enhanced Newton iterative algorithm together, improving the exploration ability. This combination also prevents early convergence, resulting in high-quality fractal art generation. The entire process of our algorithm is: firstly, the SA is used to enhance the optimisation ability of particle swarm optimisation (PSO) algorithm; subsequently, we use the Newton-Raphson method to produce high-quality fractal images with the SA-PSO-optimised parameters. According to our experimental results, the proposed method achieves significant enhancement in computational efficiency and generates high-quality images. This proves that our method can be used as an efficient tool for fractal art design in computer graphics.

Keywords: fractal art; swarm optimisation; Newton iterative algorithm; computational graphics.

DOI: 10.1504/IJICT.2025.146692

International Journal of Information and Communication Technology, 2025 Vol.26 No.18, pp.86 - 99

Received: 15 Apr 2025
Accepted: 30 Apr 2025
Published online: 13 Jun 2025 *

Title: SA-enhanced PSO Newton algorithm for fractal art graphic design

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