OPTICAL ILLUSION and FOCUSES -> Home

Muller-Lyer optical illusion
Franz Carl Muller-Lyer (5 February 1857 - 29 October 1916)
Franz Carl Muller-Lyer, born Francis Xavier Hermann Muller was a German psychologist and sociologist
The Muller-Lyer illusion is named after him.

The Muller-Lyer illusion is an optical illusion consisting of a set of lines that end in arrowheads.
The orientation of the arrowheads affects one's ability to accurately perceive the length of the lines.
Like most visual and perceptual illusions, the Muller-Lyer illusion helps neuroscientists study the way the brain and visual system perceive and interpret images. Artists have also utilized the illusion to great effect in their works.
 

Description
The most well known version of the Muller-Lyer illusion consists of two parallel lines, one of which ends in inward pointing arrows, the other which ends with outward pointing arrows. When observing the two lines, the one with the inward pointing arrows appears to be significantly longer than the other.
In other versions, one of each type of arrow is put at each end of a single line. The viewer attempts to identify the middle point of the line, only to find that he/she is consistently off to one side.

Explanation of the Muller-Lyer illusion
It is unclear exactly what causes the Muller-Lyer illusion to take place, but there are a number of theories. One of the most popular is the perspective explanation.

 

 

In the three-dimensional world, we often use angles to judge depth and distance. Living in a "carpentered world," we have grown accustomed to seeing corners everywhere. The brain is used to viewing such angles and interpreting them as far and near corners, and also uses this information to make size judgments. When looking at the Muller-Lyer arrows, the brain interprets them as far and near corners, and overrides the retinal information that says both lines are the same length.

This explanation is supported by studies comparing the response to the Muller-Lyer illusion by American children and both rural and urban Zambian children. American children were susceptible to the illusion, and the urban Zambian children were more susceptible than the rural Zambian children. Since the rural Zambian children were much less exposed to rectangular structures, this would seem to support the perspective (or "carpentered world") theory.

Interestingly enough, the illusion also persists when the arrows are replaced by circles, which have nothing to do with perspective or corners, and would seem to negate the perspective theory.

Another popular theory has been the "eye movement theory," which states that we perceive one line as longer because it takes more eye movements to view a line with inward pointing arrows than it does a line with outward pointing arrows. This explanation is largely dismissed, as the illusion persists even when there is no eye movement at all.

Also popular has been the "assimilation theory," which states that we see one line as longer because the visual system is unable to separate the figure into parts. As a whole figure, the line with inward pointing arrows is indeed longer. This theory is also generally dismissed.
New World Encyclopedia

 
Muller-Lyer illusion - variations
The line appears to expand or contract (Kenkel, 1913).
Muller-Lyer illusion - version of Brentano
Application of Muller-Lyer illusion:
Conditional lines between the ends of the arrows appear slanted, although they are actually vertical.

Interpretation by Akiyoshi Kitaoka
Application of Muller-Lyer illusion: the illusion of Judd
- Red dot is exactly in the middle of the horizontal segment,
although it seems that the left segment is smaller.
 
 
This picture from the German satirical magazine "Pardon", 1970
 

REFERENCES: 
Fineman, M. The Nature of Visual Illusion. New York: Dover, p. 153, 1996.
Luckiesh, M. Visual Illusions: Their Causes, Characteristics & Applications. New York: Dover, p. 93, 1965.
Muller-Lyer FC (1889) Optische Urteilstauschungen. Archiv fur Physiologie Suppl. 263–270
Brentano F (1892) Uber ein optisches Paradoxen. Zeitschrift fur Psychologie 3:349–358
Muller-Lyer FC (1894) Uber Kontrast und Konfluxion. Zeitschrift fur Psychologie IX p 1 / X p 421
Lewis EO (1909) Confluxion and contrast effects in the Mueller-Lyer illusion. Brit J Psychol 3:21–41
Rudel R & Teuber HL (1963) Decrement of visual and haptic Muller-Lyer illusion on repeated trials: A study of cross-modal transfer. Quarterly Journal of Experimental Psychology 15:125–131
Segall HH, Campbell DT, Herskovits MJ (1966) The Influence of Culture on Visual Perception. Bobbs-Merrill, Indianapolis
Dewar RE (1967) Stimulus determinants of the magnitude of the Mueller-Lyer illusion. Perceptual and Motor Skills, 24 , 708–710
Gregory RL (1968) Perceptual illusions and brain models. Proc R Soc Lond B Biol Sci 171:24279–296Christie PS (1975) Asymmetry in the Mueller-Lyer illusion: Artifact or genuine effect? Perception 4:453–457
Restle F & Decker J (1977) Size of the Mueller-Lyer illusion as a function of its dimensions: Theory and data. Perception & Psychophysics 21:489–503
Adam J & Bateman L (1983) A correlational analysis of symmetry between the arrowhead and featherhead Mueller-Lyer illusions. Perception 12:119–129
Pressey AW & Martin NS (1990) The effects of varying fins in Mueller-Lyer and Holding illusions. Psychol Res 52:46–53.
Kenkel, F. (1913) Untersuchungen über der Zusammenhang zwischen Erscheinungsgrösse und Erscheinungsbewegung bei einigen sogenannten optischen Täuschungen. Zeitschrift für Psychologie, 67, 358-449.

 
 
Back to OPTICAL ILLUSION
 
ABC-People Home Page
UP
Copyright © 2004 ABC-people.com
Design and conception BeStudio © 2016