When is polarimetric imaging preferable to intensity imaging for target detection?

François Goudail; J. Scott Tyo

doi:10.1364/JOSAA.28.000046

When is polarimetric imaging preferable to intensity imaging for target detection?

François Goudail and J. Scott Tyo

Journal of the Optical Society of America A
Vol. 28,
Issue 1,
pp. 46-53
(2011)
•https://doi.org/10.1364/JOSAA.28.000046

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François Goudail and J. Scott Tyo, "When is polarimetric imaging preferable to intensity imaging for target detection?," J. Opt. Soc. Am. A 28, 46-53 (2011)

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Related Topics
Table of Contents Category
- Physical Optics
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Noise in imaging systems (030.4280)
- Polarization (260.5430)

About this Article
History
- Original Manuscript: October 18, 2010
- Manuscript Accepted: November 14, 2010
- Published: December 23, 2010

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Abstract

We consider target detection in images perturbed with additive noise. We determine the conditions in which polarimetric imaging, which consists of analyzing of the polarization of the light scattered by the scene before forming the image, yields better performance than classical intensity imaging. These results give important information to assess the interest of polarimetric imaging in a given application.

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Configuration		Detector Noise ( ${SNR}_{D} \times$ )	Background Noise ( ${SNR}_{B} \times$ )
One measurement	pp	$\frac{1}{16} \times \max_{s} [F (s)]$	$\frac{1}{8} \times \max_{s} [F (s)]$
	pi	$\frac{1}{4} \times (\| D_{00} \| + ∥ m ∥)^{2}$	$\frac{1}{4} \times (\| D_{00} \| + ∥ m ∥)^{2}$
	up	$\frac{1}{4} \times (\| D_{00} \| + ∥ n ∥)^{2}$	$\frac{1}{2} \times (\| D_{00} \| + ∥ n ∥)^{2}$
	ui	$D_{00}^{2}$	$D_{00}^{2}$
Two measurements	$p 2$	$\frac{1}{8} \times \max_{s} [G (s)]$	$\frac{1}{4} \times \max_{s} [G (s)]$
Two measurements	$u 2$	$\frac{1}{2} \times (\| D_{00} \|^{2} + ∥ n ∥^{2})$	$\| D_{00} \|^{2} + ∥ n ∥^{2}$

Configuration		Detector Noise ( ${SNR}_{D} \times$ )	Background Noise ( ${SNR}_{B} \times$ )
One measurement	p	$\frac{1}{4} \times \max_{s} [F (s)]$	$\frac{1}{2} \times \max_{s} [F (s)]$
One measurement	i	$(\| D_{00} \| + ∥ m ∥)^{2}$	$(\| D_{00} \| + ∥ m ∥)^{2}$
Two measurements	$p 2$	$\frac{1}{2} \times \max_{s} [G (s)]$	$\max_{s} [G (s)]$

Configuration		Detector Noise ( ${SNR}_{D} \times$ )	Background Noise ( ${SNR}_{B} \times$ )
One measurement	pp	$\frac{1}{16} \times \max_{s} [F (s)]$	$\frac{1}{8} \times \max_{s} [F (s)]$
	pi	$\frac{1}{4} \times (\| D_{00} \| + ∥ m ∥)^{2}$	$\frac{1}{4} \times (\| D_{00} \| + ∥ m ∥)^{2}$
	up	$\frac{1}{4} \times (\| D_{00} \| + ∥ n ∥)^{2}$	$\frac{1}{2} \times (\| D_{00} \| + ∥ n ∥)^{2}$
	ui	$D_{00}^{2}$	$D_{00}^{2}$
Two measurements	$p 2$	$\frac{1}{8} \times \max_{s} [G (s)]$	$\frac{1}{4} \times \max_{s} [G (s)]$
Two measurements	$u 2$	$\frac{1}{2} \times (\| D_{00} \|^{2} + ∥ n ∥^{2})$	$\| D_{00} \|^{2} + ∥ n ∥^{2}$

Configuration		Detector Noise ( ${SNR}_{D} \times$ )	Background Noise ( ${SNR}_{B} \times$ )
One measurement	p	$\frac{1}{4} \times \max_{s} [F (s)]$	$\frac{1}{2} \times \max_{s} [F (s)]$
One measurement	i	$(\| D_{00} \| + ∥ m ∥)^{2}$	$(\| D_{00} \| + ∥ m ∥)^{2}$
Two measurements	$p 2$	$\frac{1}{2} \times \max_{s} [G (s)]$	$\max_{s} [G (s)]$

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