SA-enhanced PSO Newton algorithm for fractal art graphic design

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.