Banks M S, Backus B T
School of Optometry, University of California at Berkeley 94720-2020, USA.
Vision Res. 1998 Jan;38(2):187-94. doi: 10.1016/s0042-6989(97)00179-x.
With a horizontal magnifier before one eye, a frontoparallel surface appears rotated about a vertical axis (geometric effect). With a vertical magnifier, apparent rotation is opposite in direction (induced effect); to restore appearance of frontoparallelism, the surface must be rotated away from the magnified eye. The induced effect is interesting because it was thought until recently that vertical disparities do not play an important role in surface perception. As with the geometric effect, the required rotation for the induced effect increases linearly to approximately equal to 4% magnification; unlike the geometric effect, it plateaus at approximately 8%. Current theory explains the linear portion: vertical size ratios (VSRs) are used to compensate for changes in horizontal size ratios (HSRs) that accompany eccentric gaze, so changes in VSR cause changes in perceived slant. The theory does not explain the plateau. We demonstrate that it results from differing slant estimates obtained by use of various retinal and extra-retinal signals. When perspective cues to slant are minimized or sensed eye position is consistent with VSR, the induced and geometric effects have similar magnitudes even at large magnifications.
当在一只眼前放置水平放大镜时,额状平行面会绕垂直轴旋转(几何效应)。当使用垂直放大镜时,明显的旋转方向相反(诱导效应);为恢复额状平行的外观,该平面必须远离放大的眼睛旋转。诱导效应很有趣,因为直到最近人们还认为垂直视差在表面感知中不起重要作用。与几何效应一样,诱导效应所需的旋转呈线性增加,直至约等于4%的放大率;与几何效应不同的是,它在约8%时趋于平稳。当前理论解释了线性部分:垂直尺寸比(VSR)用于补偿偏心注视时伴随的水平尺寸比(HSR)变化,因此VSR的变化会导致感知倾斜的变化。该理论无法解释平稳阶段。我们证明,这是由于使用各种视网膜和视网膜外信号获得的不同倾斜估计所致。当倾斜的透视线索最小化或感知到的眼睛位置与VSR一致时,即使在放大倍数很大的情况下,诱导效应和几何效应的大小也相似。