Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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SIMULATIONS OF INK DIFFUSION ON PAPER USING VISIT COUNTS FROM RANDOM WALK SESSIONS

  • Kim, Hee-Chang (SYSTEMES INTELLIGENTS DE PERCEPTION UNIVERSITE) ;
  • Kang, Myung-Joo (DEPARTMENT OF MATHEMATICAL SCIENCE, SEOUL NATIONAL UNIVERSITY)
  • Received : 2009.05.27
  • Accepted : 2009.06.01
  • Published : 2009.06.25
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Abstract

An animated ink diffusion on paper is simulated through making a multiple sessions of random walks. The simulated random walk is built and validated against the diffusion model, then animated by varying the intensity thresholds of the accumulated visit counts on each pixels on an image. Two different random walk models are built one of which is a free random walk in that the walker has exactly same probability to move in any four or eight directions in each step. The other is a biased random walk that has a higher chance to go to a pixel that has more similar intensity value. The latter can be used to simulate an ink diffusion radiating through different texture of paper.

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References

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