Image analyzing method to detect vague boundaries by using reaction-diffusion system

DOI10.1016/j.apnum.2016.08.016zbMath1357.65026OpenAlexW2508147622MaRDI QIDQ509427

Katsuyuki Kida, Koshiro Mizobe, Hitoshi Mahara, Kazuaki Nakane

Publication date: 9 February 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.08.016

zbMATH Keywords

algorithmnumerical resultsreaction-diffusion systemhomologyimage analysisedge detection

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Uses Software

• ImageJ

Cites Work

• Lectures on algebraic topology. Transl. from the Russian by Ekaterina Pervova
• The chemical basis of morphogenesis
• Introduction to homotopy theory

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