A Statistical Model for Imaging Systems
Image and Video Processing
2020-05-21 v1 Data Analysis, Statistics and Probability
Optics
Methodology
Abstract
The behavior of photons is controlled by quantum mechanics, not as deterministic as classical optics shows. To this end, we defined a new statistic , which is equal to the variance minus the expectation or mean. Then, we established a statistical model for imaging systems and obtained three fundamental imaging formulas. Among them, the first formula is entirely consistent with the classic convolution equation. The second and third ones link the quantities of the object and noise elegantly with the image and covariance image, revealing new laws. Consequently, besides the flux density, the quantity of an object is also imageable, which opens a new realm for imaging systems to explore the physical world.
Cite
@article{arxiv.2005.09644,
title = {A Statistical Model for Imaging Systems},
author = {Jianfeng Zhou},
journal= {arXiv preprint arXiv:2005.09644},
year = {2020}
}
Comments
17 pages, 4 figures, 1 table