An analytic function of the two-dimensional probabilities of perception of the human eyes

The probability of perception is an indispensable quantity in the visual observation of meteors. Based on the data of a large number of double-counting observations, Koschack and Rendtel derived a table-listed average perception function P ( Δ m ) in 1990 and Wu gave it a fitting analytic function i...

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Bibliographic Details
Published inNew astronomy Vol. 14; no. 1; pp. 59 - 64
Main Author Wu, Guang-jie
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2009
Subjects
Analytic functions
Astronomy
Derivatives
Eyes
Fittings
Human
Meteor
Perception
Sensory systems
Two dimensional
Visual
Visual perception
96.30.Za
42.66.si
87.19.It
Meteor
Sensory systems
Visual
Visual perception
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Summary:The probability of perception is an indispensable quantity in the visual observation of meteors. Based on the data of a large number of double-counting observations, Koschack and Rendtel derived a table-listed average perception function P ( Δ m ) in 1990 and Wu gave it a fitting analytic function in 2005. In this paper, a fitting of the perception function in the two-dimensional field of view, P ( Δ m , R ) , is given. Both the new analytic function and each order of its derivatives have only a monodromy and are very smooth. This analytic function will be more essential and useful than the average function P ( Δ m ) and may be connected to the two-dimensional structure of the human eyes as an imaging system.
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ISSN:1384-1076
1384-1092
DOI:10.1016/j.newast.2008.05.005