Open AccessAnalytical expression for pixel-averaged point sources as observed by a focal plane array
Author(s) -
Nichols Jm
Publication year - 2016
Publication title -
journal of the optical society of america. a, optics, image science, and vision./journal of the optical society of america. a, online
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 158
eISSN - 1520-8532
pISSN - 1084-7529
DOI - 10.1364/josaa.33.001569
Subject(s) - expression (computer science) , square (algebra) , pixel , point (geometry) , plane (geometry) , point source , cardinal point , optics , closed form expression , euclidean geometry , physics , domain (mathematical analysis) , euclidean distance , mathematics , mathematical analysis , geometry , computer science , programming language
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.