Single-pixel polarimetric imaging spectrometer by compressive sensing
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Single-pixel polarimetric imaging spectrometer by compressive sensing F. Soldevila • E. Irles • V. Dura´n • P. Clemente • Mercedes Ferna´ndez-Alonso • Enrique Tajahuerce Jesu´s Lancis
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Received: 1 February 2013 / Accepted: 6 May 2013 Springer-Verlag Berlin Heidelberg 2013
Abstract We present an optical system that performs polarimetric spectral imaging with a detector with no spatial resolution. This fact is possible by applying the theory of compressive sampling to the data acquired by a sensor composed of an analyzer followed by a commercial fiber spectrometer. The key element in the measurement process is a digital micromirror device, which sequentially generates a set of intensity light patterns to sample the object image. For different configurations of the analyzer, we obtain polarimetric images that provide information about the spatial distribution of light polarization at several spectral channels. Experimental results for colorful objects are presented in a spectral range that covers the visible spectrum and a part of the NIR range. The performance of the proposed technique is discussed in detail, and further improvements are suggested.
1 Introduction Multispectral imaging (MI) is a useful optical technique that provides two-dimensional images of an object for a set of specific wavelengths within a selected spectral range. F. Soldevila E. Irles V. Dura´n (&) P. Clemente M. Ferna´ndez-Alonso E. Tajahuerce J. Lancis GROCUJI, Departament de Fı´sica, Universitat Jaume I, 12071 Castello´, Spain e-mail: [email protected] V. Dura´n M. Ferna´ndez-Alonso E. Tajahuerce J. Lancis Institut de Noves Tecnologies de la Imatge (INIT), Universitat Jaume I, 12071 Castello´, Spain P. Clemente Servei Central d’Instrumentacio´ Cientı´fica, Universitat Jaume I, 12071 Castello´, Spain
Dispersive elements (as prisms or gratings), filter wheels or tunable band-pass filters are typical components used in MI systems to acquire image spectral content [1]. In certain applications, MI can be improved by adding spatially resolved information about the light polarization. Multispectral polarimetric imaging facilitates the analysis and identification of soils [2], plants [3] and surfaces contaminated with chemical agents [4]. In the field of biomedical optics, multispectral polarimetric imaging has been applied to the characterization of human colon cancer [5] or the pathological analysis of skin [6]. In many cases, polarimetric analysis can be performed by just including a linear polarizer in an imaging system to record images for various selected orientations of its transmission axis [6, 7]. A simple configuration that includes two orthogonal polarizers integrated in a spectral system has been used for noninvasively imaging of the microcirculation through mucus membranes and on the surface of solid organs [7]. An illustrative example of a spectral camera with polarimetric capability is a system that combines an acousto-optic tunable filter with a liquid–crystal-based polarization analyzer [8]. In an apparently
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