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Title: PSO-based Newton-like Method and Iteration Processes in the Generation of Artistic Patterns
Authors: Gościniak, Ireneusz
Gdawiec, Krzysztof
Keywords: generative art; root finding; dynamics
Issue Date: 2018
Citation: G. Bebis, R. Boyle et al. (eds.), "Advances in visual computing 13th International Symposium on Visual Computing, ISVC 2018, Las Vegas, USA, 19-21.11.2018" (S. 47-56). Cham: Springer
Abstract: In artistic pattern generation one can find many different approaches to the generation process. One of such approaches is the use of root finding methods. In this paper, we present a new method of generating artistic patterns with the use of root finding. We modify the classical Newton's method using a Particle Swarm Optimization approach. Moreover, we introduce various iteration processes instead of the standard Picard iteration used in the Newton's method. Presented examples show that using the proposed method we are able to obtain very interesting and diverse patterns that could have an artistic application, e.g., in texture generation, tapestry or textile design etc.
DOI: 10.1007/978-3-030-03801-4_5
ISBN: 978-3-030-03800-7
Appears in Collections:Książki/rozdziały (WNŚiT)

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