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Keywords:

  • perceptual transparency;
  • arithmetic model;
  • X-junction model;
  • object transparency;
  • full-layer transparency

Abstract:  The luminance-based arithmetic model of perceptual transparency was applied to explain Adelson-Anandan-Anderson's X-junction contrast-polarity model, which classifies perceptual transparency on a phenomenological level. As a result, the reason why the apparent depth order of two surfaces is fixed in the configuration of unique transparency could be well understood. Moreover, the reason why the apparent depth order of two surfaces is reversible in the configuration of bistable transparency could also be well explained by introducing a new classification of perceptual transparency that differentiates full-layer transparency from object transparency. An experiment of bistable transparency revealed that object transparency is preferred to full-layer transparency. It also revealed two factors affecting perceptual transparency: average lightness or luminance of adjacent regions, and the difference in lightness or luminance between them. In addition, it appeared that Michelson contrast does not play a critical role in perceptual transparency.