Decomposition algorithm of an experimental Mueller matrix

Boulvert, F.; Brun, Guy Le; Jeune, Bernard; Cariou, J; Martin, Loïc

doi:10.1016/j.optcom.2008.10.076

Cited by 48 publications

(40 citation statements)

References 17 publications

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“…The total intensity K 0 -or rather total absorption from the view of optical polarimetry -defined as sum over all intensity channels in the case of SAR measurements is directionless by nature. This interpretation also defines the basis for several decompositions of the Mueller matrix used in optics (Lu and Chipman, 1996;Ossikovski, 2008;Ossikovski et al, 2008;Boulvert et al, 2009) which show a striking similarity to the decompositions employed in SAR polarimetry (Praks et al, 2009). …”

Section: Quad-pol Imagesmentioning

confidence: 80%

The Kennaugh element framework for multi-scale, multi-polarized, multi-temporal and multi-frequency SAR image preparation

Schmitt

Wendleder

Hinz

2015

ISPRS Journal of Photogrammetry and Remote Sensing

111

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a b s t r a c tAs the number of space-borne SAR sensors increases, a rising number of different SAR acquisition modes is in use, resulting in a higher variation within the image products. This variability in acquisition geometry, radiometry, and last but not least polarimetry raises the need for a consistent SAR image description incorporating all available sensors and acquisition modes. This paper therefore introduces the framework of the Kennaugh elements to comparably represent all kinds of multi-scale, multi-temporal, multi-polarized, multi-frequency, and hence, multi-sensor data in a consistent mathematical framework. Furthermore, a novel noise model is introduced that estimates the significance and thus the (polarimetric) information content of the Kennaugh elements. This facilitates an advanced filtering approach, called multi-scale multi-looking, which is shown to improve the radiometric accuracy while preserving the geometric resolution of SAR images. The proposed methodology is finally demonstrated using sample applications that include TerraSAR-X (X-band), Envisat-ASAR, RADARSAT-2 (C-band) and ALOS-PALSAR (L-band) data as well as the combination of all three frequencies. Thus the suitability of the Kennaugh element framework for practical use in proved for advanced SAR remote sensing.

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Section: Quad-pol Imagesmentioning

confidence: 80%

The Kennaugh element framework for multi-scale, multi-polarized, multi-temporal and multi-frequency SAR image preparation

Schmitt

Wendleder

Hinz

2015

ISPRS Journal of Photogrammetry and Remote Sensing

111

View full text Add to dashboard Cite

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“…(8) is expected to produce more accurate results that Eqs. (7) in the case of a strongly depolarizing M; we shall check this inference on experimental examples from the literature after having physically interpreted the two G-parts of m.…”

Section: Deriving the G-parts Of M With The Help Of The Magnus Expmentioning

confidence: 91%

“…To illustrate the above theoretical developments, consider the transmission Mueller matrix M t of an adhesive tape measured in the visible range [7], :…”

Section: Experimental Examplesmentioning

confidence: 99%

Differential Mueller matrix of a depolarizing homogeneous medium and its relation to the Mueller matrix logarithm

Ossikovski

Martino

2015

J. Opt. Soc. Am. A

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The different z-dependence and non-commutativity of the two components of the differential Mueller matrix of a homogeneous depolarizing medium prevent its formal identification with the Mueller matrix logarithm. By using a classic linear differential equation expansion, we advance a procedure for the extraction of the elementary polarization properties, in terms of mean values and variances-covariances, from the Mueller matrix logarithm. The approximate solution, based on the immediate identification of the differential matrix with the matrix logarithm, turns out to remain satisfactory up to relatively high depolarization levels. Physically interpreted experimental examples from the literature illustrate the formal developments.

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“…Since the 16 elements of a Mueller matrix are usually not explicitly linked to the characteristic microstructure of the sample, various decomposition methods have been proposed to relate the Mueller matrix to different mechanisms which affect the polarization of the scattered light. [3][4][5][6][7][8] For example, Lu and Chipman decompose a Mueller matrix into three contributions of known physics meanings: diattenuation, retardance, and depolarization. 3 Such a Mueller matrix polar decomposition technique has been used as an effective tool for quantitatively characterizing the polarization properties of pathological samples.…”

Section: Introductionmentioning

confidence: 99%

Study on the validity of 3 × 3 Mueller matrix decomposition

et al. 2015

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Abstract. Using Monte Carlo simulations based on previously developed scattering models consisting of spherical and cylindrical scatterers imbedded in birefringent interstitial medium, we compare the polarization parameters extracted from the 3 × 3 and 4 × 4 Mueller matrix decomposition methods in forward and backward scattering directions. The results show that the parameters derived from the 3 × 3 Mueller matrix decomposition are usually not the same as those from the 4 × 4 Mueller matrix decomposition but display similar qualitative relations to changes in the microstructure of the sample, such as the density, size, and orientation distributions of the scatterers, and birefringence of the interstitial medium. The simulations are backed up by experiments when suitable samples are available.

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Decomposition algorithm of an experimental Mueller matrix

Cited by 48 publications

References 17 publications

The Kennaugh element framework for multi-scale, multi-polarized, multi-temporal and multi-frequency SAR image preparation

The Kennaugh element framework for multi-scale, multi-polarized, multi-temporal and multi-frequency SAR image preparation

Differential Mueller matrix of a depolarizing homogeneous medium and its relation to the Mueller matrix logarithm

Study on the validity of 3 × 3 Mueller matrix decomposition

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