Analyzing Double Image Illusion through Double Indiscernibility and Lattice Theory

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

Abstract


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 be- tween 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.

Keywords


illusion, double images, figure-ground, double indiscernibility, Gestalt theory, rough set theory, lattice theor

Full Text: PDF

Creative Commons License tripleC is a peer-reviewed, open-access journal (ISSN: 1726-670X). All journal content, except where otherwise noted, is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Austria License.