New Three-Chemical Polynomial Reaction-Diffusion Equations

  • Do-yeon Han
  • Byungmoon Kim
  • Oh-young SongEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11542)


Reaction-diffusion (RD) generates time-varying patterns or noises, used to create beautiful patterned or noisy variations in colors, bumps, flow details, or other parameters. RD can be relatively easily solved on various domains: image, curved surface, and volumetric domains, making their applications popular. Being widely available, most of the patterns from known RD have been well explored. In this paper, we move on this field, by providing a large number of new reaction equations. Among the vast space of new equations, we focus on three-chemical polynomial reactions as the three chemicals can be easily mapped to any colors. We propose a set of new equations that generate new time-varying patterns.


Reaction-diffusion Pattern generation PDE Texture synthesis Time-varying noise 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Sejong UniversitySeoulSouth Korea
  2. 2.Adobe ResearchSan JoseUSA

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