Analytical expression for pixel-averaged point sources as observed by a focal plane array

Analytical expression for pixel-averaged point sources as observed by a focal plane array

A closed-form expression is derived for pixel-averaged point source signals as observed by an imaging array. Obtaining this solution requires the probability distribution of squared Euclidean distances in two dimensions when the end points are confined to a uniformly spaced square domain. The deriva...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2016-08, Vol.33 (8), p.1569-1578
1. Verfasser: Nichols, J M
Format: Artikel
Sprache:eng
Schlagworte:
Arrays
Derivation
Euclidean geometry
Exact solutions
Focal plane
Mathematical analysis
Point sources
Vision
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Beschreibung
Zusammenfassung:A closed-form expression is derived for pixel-averaged point source signals as observed by an imaging array. Obtaining this solution requires the probability distribution of squared Euclidean distances in two dimensions when the end points are confined to a uniformly spaced square domain. The derivation and associated expression are provided.
ISSN:1084-7529
1520-8532
DOI:10.1364/JOSAA.33.001569