Analyzing double image illusion through double indiscernibility and lattice theory

Kohei Sonoda*, Eugene S. Kitamura, Iori Tani, Tomohiro Shirakawa, Yukio Pegio Gunji

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The figure-ground division plays a fundamental role in all image perceptions. Although there are a lot of studies about extraction of a figure such as detection of edges or grouping of texture, there are few discussions about a relationship between obtained figure and ground. We focused on double image illusions having two complementary relationships between figure and ground and analyzed them. We divided the double image illusions according to two different interpretations and using these divisions we extracted and analyzed their logical structures by lattices derived from rough sets that we had developed. As a result we discovered unusual logical structures in double image illusions.

Original languageEnglish
Pages (from-to)510-519
Number of pages10
Issue number2
Publication statusPublished - 2011
Externally publishedYes


  • Double images
  • Double indiscernibility
  • Figure-ground
  • Gestalt theory
  • Illusion
  • Lattice theory
  • Rough set theory

ASJC Scopus subject areas

  • Communication
  • Computer Science Applications


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