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Updated: Jun 14, 2026

Methods to Explore the Influence of Top-down Visual Processes on Motor Behavior
Published on: April 16, 2014
A simple model of the vertical-horizontal illusion.
Pascal Mamassian1, Marie de Montalembert
1Laboratoire Psychologie de la Perception (CNRS UMR 8158), Université Paris Descartes, France. pascal.mamassian@parisdescartes.fr
This study presents a quantitative model for the vertical-horizontal illusion, explaining why vertical lines appear longer. The model accounts for orientation bias and length bisection effects in visual perception.
Area of Science:
- Visual Perception
- Cognitive Psychology
- Computational Neuroscience
Background:
- The vertical-horizontal illusion, where vertical lines are perceived as longer than equal-length horizontal lines, is a fundamental visual phenomenon.
- Despite its elementary nature, the precise mechanisms underlying this illusion remain incompletely understood.
Purpose of the Study:
- To develop a simple quantitative model explaining the overestimation of vertical segments compared to horizontal ones.
- To incorporate the effect of line bisection on length underestimation into the model.
- To validate the model across various stimulus configurations (T, L, + signs) and orientations.
Main Methods:
- Formulated a quantitative model integrating orientation anisotropy and length bisection biases.
- Tested the model's predictions against empirical observations of the vertical-horizontal illusion.
- Introduced uncertainty in line estimation to derive new predictions on perceptual sensitivity.
Main Results:
- The model accurately accounts for the vertical-horizontal illusion in T, L, and + sign configurations.
- Orientation anisotropy contributes an average bias of 6%, while length bisection contributes about 16%.
- A late-noise model, with uncertainty at the decision stage, best explains the reduced sensitivity observed in '+' sign stimuli.
Conclusions:
- The developed model provides a robust explanation for the vertical-horizontal illusion by combining orientation anisotropy and length bisection.
- The findings highlight the role of decision-stage uncertainty in modulating visual sensitivity.
- This research offers a quantitative framework for understanding basic visual perception biases.
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