Turing Patterns in Photoshop

Andrew Werth
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 459–462 Short Papers


Turing patterns, a kind of pattern that forms in nature as the result of reaction-diffusion processes, may be generated in Photoshop (or other image editing tools) by repeatedly blurring and sharpening a seed image. This paper explains mathematically why these image processing steps fit a type of reaction-diffusion model and describes how the author uses Photoshop Turing patterns as a starting point for abstract acrylic paintings.