The estimation of the curvature of visual space with a visual triangle

Toshio Watanabe

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Triangular properties which Blank (1961) proposed are useful in investigating the geometry of visual space. With this method, however, it is not possible to estimate quantitatively the curvature of visual space. In the present article, hyperbolic and elliptic triangles are described with mathematical equations in the two and three dimensional Euclidean maps, and a method is proposed to estimate the curvature with triangular properties. Further, one experiment is conducted to find how the curvature changes according to the experimental conditions. Visual triangles are constructed in an eye level plane, a slanted plane and a horopter plane. The result shows that the curvature is negative in the eye level plane and in the slanted plane, but positive in the horopter plane.

Original languageEnglish
Pages (from-to)278-284
Number of pages7
JournalShinrigaku Kenkyu
Volume67
Issue number4
Publication statusPublished - 1996 Oct

Keywords

  • Non-Euclidean geometry
  • Visual space
  • Visual triangle

ASJC Scopus subject areas

  • Psychology(all)

Cite this

The estimation of the curvature of visual space with a visual triangle. / Watanabe, Toshio.

In: Shinrigaku Kenkyu, Vol. 67, No. 4, 10.1996, p. 278-284.

Research output: Contribution to journalArticle

Watanabe, Toshio. / The estimation of the curvature of visual space with a visual triangle. In: Shinrigaku Kenkyu. 1996 ; Vol. 67, No. 4. pp. 278-284.
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