### 抄録

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.

元の言語 | English |
---|---|

ページ（範囲） | 278-284 |

ページ数 | 7 |

ジャーナル | Shinrigaku Kenkyu |

巻 | 67 |

発行部数 | 4 |

出版物ステータス | Published - 1996 10 |

### ASJC Scopus subject areas

- Psychology(all)

### これを引用

*Shinrigaku Kenkyu*,

*67*(4), 278-284.

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

研究成果: Article

*Shinrigaku Kenkyu*, 巻. 67, 番号 4, pp. 278-284.

}

TY - JOUR

T1 - The estimation of the curvature of visual space with a visual triangle

AU - Watanabe, Toshio

PY - 1996/10

Y1 - 1996/10

N2 - 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.

AB - 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.

KW - Non-Euclidean geometry

KW - Visual space

KW - Visual triangle

UR - http://www.scopus.com/inward/record.url?scp=0030254423&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030254423&partnerID=8YFLogxK

M3 - Article

C2 - 9021882

AN - SCOPUS:0030254423

VL - 67

SP - 278

EP - 284

JO - Shinrigaku Kenkyu

JF - Shinrigaku Kenkyu

SN - 0021-5236

IS - 4

ER -