A distance judgment function based on space perception mechanisms: Revisiting Gilinsky's (1951) equation
A distance judgment function based on space perception mechanisms: Revisiting Gilinsky's (1951) equation
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DOI：
10.1037/0033-295x.114.2.441
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发表时间：
2007-04-01
影响因子：
5.4
通讯作者：
He, Zijiang J.
中科院分区：
文献类型：
--
作者：
Ooi, Teng Leng;He, Zijiang J.
A. S. Gilinsky（1951）在《心理学评论》（Psychological Review）上发表了一篇影响深远的文章，她成功地用方程D = DA/(A + D)描述了物理距离(D)和感知距离(D)之间的关系，其中A =常数。为了理解其理论基础，本文的作者利用基于地面的空间感知机制推导出距离方程d = Hcos alpha/sin(alpha + eta)，其中H是观测者的眼睛高度，alpha是地平线以下的角度偏角，eta是表示地面的倾斜误差。他们的方程预测(a)感知距离受到地表表示的倾斜误差的影响；(b)当倾斜误差较小时，地基方程与Gilinsky方程形式相同；(c) Gilinsky方程中的参数A表示观察者眼高与倾斜误差正弦的比值。这些预测在经验上得到了证实，从而为吉尔斯基方程提供了理论基础。
In her seminal article in Psychological Review, A. S. Gilinsky (1951) successfully described the relationship between physical distance (D) and perceived distance (d) with the equation d = DA/(A + D), where A = constant. To understand its theoretical underpinning, the authors of the current article capitalized on space perception mechanisms based on the ground surface to derive the distance equation d = Hcos alpha/sin(alpha + eta), where H is the observer's eye height, alpha is the angular declination below the horizon, and eta is the slant error in representing the ground surface. Their equation predicts that (a) perceived distance is affected by the slant error in representing the ground surface; (b) when the slant error is small, the ground-based equation takes the same form as Gilinsky's equation; and (c) the parameter A in Gilinsky's equation represents the ratio of the observer's eye height to the sine of the slant error. These predictions were empirically confirmed, thus bestowing a theoretical foundation on Gilinsky's equation.