Hering's law of visual direction

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Hering's demonstration of his law of visual direction. Heringvisualdirection.png
Hering's demonstration of his law of visual direction.

Hering's law of visual direction describes the perceived visual direction of a point relative to an observer. Because the eyes are horizontally apart in the head, by about 6cm, the visual scene is seen from slightly different point of view by each eye. Thus comes the question of where a point is perceived, relative to the observer, when seen with either eye alone or binocularly. In 1879 Ewald Hering stated the following law: "For any given two corresponding lines of direction, or visual lines, there is in visual space a single visual direction upon which appears everything which actually lies in the pair of visual lines". [1] Prior to Hering, both Alhazen (1021) [2] and Wells (1792) [3] addressed a similar questions but proposed slightly incorrect laws.

Ewald Hering German physiologist

Karl Ewald Konstantin Hering was a German physiologist who did much research into color vision, binocular perception and eye movements. He proposed opponent color theory in 1892.

Dr William Charles Wells FRS FRSE FRCP (1757–1817) was a Scottish-American physician and printer. He lived a life of extraordinary variety, did some notable medical research, and made the first clear statement about natural selection. He applied the idea to the origin of different skin colours in human races, and from the context it seems he thought it might be applied more widely. Charles Darwin said: "[Wells] distinctly recognises the principle of natural selection, and this is the first recognition which has been indicated".

Contents

Hering's law can be simplified as (1) points falling on the same visual line seem to come from the same location; (2) visual directions are relative to the a unique egocenter (also called cyclopean eye) and (3) the perceived direction of a cyclopean line is the line that intersects the point of fixation. In other words, when seen monocularly a point appears in the direction of that point relative to the eye, but as if seen from the egocenter.

Hering proposed a simple demonstration of his law. When one fixates a point straight ahead on a window, one might see, through transparency, a different object in each eye aligned with the fixation point. For example in the right eye a house is seen behind the fixation point through the window. The house will appear to be located on the left. In the left eye a tree is seen behind the fixation through the window, appearing to be located on the right. When both eyes look at the fixation point, the house and the tree will appear superimposed in the cyclopean image, however the perceived location of these two superimposed images will be straight ahead. This demonstrates that the perceived location of a point is influenced by its location in both eyes and is relative to an imaginary cyclopean eye (or egocenter).

Hering's window demonstration of his law of visual direction. Both eyes fixate a point on the widow. The right eye sees Captain Haddock's curses book behind the fixation, the left eye sees the French press behind the fixation point. With both eyes open and fixating the book and the French press appear superimposed and straight ahead. Heringwindow (cropped).gif
Hering's window demonstration of his law of visual direction. Both eyes fixate a point on the widow. The right eye sees Captain Haddock's curses book behind the fixation, the left eye sees the French press behind the fixation point. With both eyes open and fixating the book and the French press appear superimposed and straight ahead.


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Hering–Hillebrand deviation

The Hering–Hillebrand deviation describes the mismatch between the theoretical and empirical horopterThe horopter is the set of points that projects at the same location in the two retinae. Geometrically the horopter is a circle passing through the nodal point of the two eyes and through the fixation point. This is known as the horizontal geometrical horopter, or as the Vieth–Müller circle. This is the set of points that correspond geometrically to the intersection between visual lines at identical eccentricities. There is also a vertical horopter which the a straight line on the sagittal plane and passing through the intersection between the sagittal plane and the Vieth–Müller circle.

References

  1. Hering, Ewald (1942). Spatial sense and movements of the eyes. Baltimore: American Academy of Optometry. p. 42.
  2. Smith, A. Mark (2001). Alhacen's theory of visual perception. Volume Two, English Translation. Philadelphia: American Philosophical Society.
  3. Wells, W. C. (1792). An Essay upon Single Vision with Two Eyes: Together with Experiments and Observations on Several Other Subjects in Optics. London: Cadell.

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See also

Herings law of equal innervation

Hering's law of equal innervation is used to explain the conjugacy of saccadic eye movement in stereoptic animals. The law proposes that conjugacy of saccades is due to innate connections in which the eye muscles responsible for each eye's movements are innervated equally. The law also states that apparent monocular eye movements are actually the summation of conjugate version and disjunctive eye movements. The law was put forward by Ewald Hering in the 19th century, though the underlying principles of the law date back considerably. Aristotle had commented upon this phenomenon and Ptolemy put forward a theory of why such a physiological law might be useful. It was clearly stated for the first time by Alhacen in his Book of Optics (1021).

Stereopsis is a term that is most often used to refer to the perception of depth and 3-dimensional structure obtained on the basis of visual information deriving from two eyes by individuals with normally developed binocular vision. Because the eyes of humans, and many animals, are located at different lateral positions on the head, binocular vision results in two slightly different images projected to the retinas of the eyes. The differences are mainly in the relative horizontal position of objects in the two images. These positional differences are referred to as horizontal disparities or, more generally, binocular disparities. Disparities are processed in the visual cortex of the brain to yield depth perception. While binocular disparities are naturally present when viewing a real 3-dimensional scene with two eyes, they can also be simulated by artificially presenting two different images separately to each eye using a method called stereoscopy. The perception of depth in such cases is also referred to as "stereoscopic depth".