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15 September 2006 Estimation of the degree of polarization from two intensity images degraded by speckle noise
Muriel Roche, Julien Fade, Philippe Réfrégier
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Proceedings Volume 6341, Speckle06: Speckles, From Grains to Flowers; 634104 (2006) https://doi.org/10.1117/12.695254
Event: Speckle06: Speckles, From Grains to Flowers, 2006, Nimes, France
Abstract
Active polarimetric imagery is a powerful tool for accessing the information present in a scene. The polarimetric images obtained can indeed reveal polarizing properties of the objects that could not appear using conventional imaging systems.1,2 The degree of polarization is a key quantity to define the way the scene polarizes or depolarizes the light. Its estimation3 from images obtained with illumination by coherent light is perturbed by speckle noise. Using the definition developed by Goodman,4 we propose in this paper to perform both a theoretical and a numerical experimental study on the estimation of the degree of polarization. We first present that one can estimate the degree of polarization with only two intensity measures, whereas four measures are used in classical studies. This method may have interesting practical applications. Indeed, the use of only two images could reduce the costs and could improve the acquisition time. The quantification of the loss of precision in the estimation of the degree of polarization is analyzed when one uses two images instead of four. This analysis is based on statistical studies considering the speckle noise in the data. The precision on the estimation of the degree of polarization is compared using either the electric field (that needs four measurements) or only two intensity measures. The theorical results are validated on simulated polarimetric data considering different situations described by different polarization matrices.
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Muriel Roche, Julien Fade, and Philippe Réfrégier "Estimation of the degree of polarization from two intensity images degraded by speckle noise", Proc. SPIE 6341, Speckle06: Speckles, From Grains to Flowers, 634104 (15 September 2006); https://doi.org/10.1117/12.695254
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KEYWORDS
Polarization
Statistical analysis
Speckle
Polarimetry
Matrices
Polarizers
Calculus
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