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.
Similar content being viewed by others
References
R.G. Sellar, G.D. Boreman, Classification of imaging spectrometers for remote sensing applications. Opt. Eng. 44(1), 013602 (2005)
K.L. Coulson, Effects of reflection properties of natural surfaces in aerial reconnaissance. Appl. Opt. 5, 905–917 (1966)
V.C. Vanderbilt, L. Grant, L.L. Biehl, B.F. Robinson, Specular, diffuse, and polarized light scattered by two wheat canopies. Appl. Opt. 24, 2408–2418 (1985)
S.M. Haugland, E. Bahar, A.H. Carrieri, Identification of contaminant coatings over rough surfaces using polarized infrared scattering. Appl. Opt. 31, 3847–3852 (1992)
A. Pierangelo, A. Benali, M-R. Antonelli, T. Novikova, P. Validire, B. Gayet, A. De Martino, Ex-vivo characterization of human colon cancer by Mueller polarimetric imaging. Opt. Express 19, 1582–1593 (2011)
Y. Zhao, L. Zhang, Q. Pan, Spectropolarimetric imaging for pathological analysis of skin. Appl. Opt. 48, D236–D246 (2009)
W. Groner, J.W. Winkelman, A.G. Harris, C. Ince, G.J. Bouma, K. Messmer, R.G. Nadeau, Orthogonal polarization spectral imaging: a new method for study of the microcirculation. Nat. Med. 5, 1209–1213 (1999)
N. Gupta, D.R. Suhre, Acousto-optic tunable filter imaging spectrometer with full Stokes polarimetric capability. Appl. Opt. 46, 2632–2637 (2007)
E.J. Candès, M.B. Wakin, An introduction to compressive sampling. IEEE Signal Process. Mag. 25, 21–30 (2008)
M.F. Duarte, M.A. Davenport, D. Takhar, J.N. Laska, T. Sun, K.F. Kelly, R.G. Baraniuk, Single-pixel imaging via compressive sampling. IEEE Signal Process. Mag. 25, 83–91 (2008)
F. Magalhaes, F.M. Araújo, M.V. Correia, M. Abolbashari, F. Farahi, Active illumination single-pixel camera based on compressive sensing. Appl. Opt. 50, 405–414 (2011)
W.L. Chan, K. Charan, D. Takhar, K.F. Kelly, R.G. Baraniuk, D.M. Mittleman, A single-pixel terahertz imaging system based on compressed sensing. Appl. Phys. Lett. 93, 121105 (2008)
T. Sun, K. Kelly, Compressive Sensing Hyperspectral Imager, Computational Optical Sensing and Imaging, OSA Technical Digest (CD) (Optical Society of America, 2009)
Y. Wu, I.O. Mirza, G.R. Arce, D.W. Prather, Development of a digital-micromirror-device-based multishot snapshot spectral imaging system. Opt. Lett. 36, 2692–2694 (2011)
V. Durán, P. Clemente, M. Fernández-Alonso, E. Tajahuerce, J. Lancis, Single-pixel polarimetric imaging. Opt. Lett. 37, 824–826 (2012)
V. Studer, J. Bobin, M. Chahid, S.H. Shams Mousavi, E. Candès, M. Dahan, Compressive fluorescence microscopy for biological and hyperspectral imaging. PNAS 109, E1679–E1687 (2012)
J. Sampsell, An overview of the digital micromirror device (DMD) and its application to projection displays, SID Int. Symp. Digest of Technical Papers 24, 1012 (1993)
W.K. Pratt, J. Kane, H.C. Andrews, Hadamard transform image coding. Proc. IEEE 57, 58–67 (1969)
M.A.T. Figueiredo, R.D. Nowak, S.J. Wright, Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems. IEEE J. Sel. Top. Signal Process. 1, 586–597 (2007)
W. K. Pratt, Digital Image Processing, 4th edn. (Wiley, 2007)
J. Vila-Francés, J. Calpe-Maravilla, J. Muñoz-Mari, L. Gómez-Chova, J. Amorós-López, E. Ribes-Gómez, V. Durán-Bosch, Configurable-bandwidth imaging spectrometer based on an acousto-optic tunable filter. Rev. Sci. Instr. 77, 073108 (2006)
Z. Xiaobo, S. Jiyong, H. Limin, Z. Jiewen, M. Hanpin, C. Zhenwei, L. Yanxiao, M. Holmes, In vivo non-invasive detection of chlorophyll distribution in cucumber (Cucumis sativus) leaves by indices based on hyperspectral imaging. Anal. Chim. Acta 706, 105–112 (2011)
http://www.mathworks.com/matlabcentral/fileexchange/7021-spectral-and-xyz-color-functions
K.J. Zuzak, M.D. Schaeberle, E.N. Lewis, I.W. Levin, Visible reflectance hyperspectral imaging: characterization of a noninvasive, in vivo system for determining tissue perfusion. Anal. Chem. 74, 2021–2028 (2002)
Acknowledgments
This work has been partly funded by the Spanish Ministry of Education (project FIS2010-15746) and the Excellence Net from the Generalitat Valenciana about Medical Imaging (project ISIC/2012/013). Also funding from Generalitat Valenciana through Prometeo Excellence Programme (project PROMETEO/2012/021) is acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Soldevila, F., Irles, E., Durán, V. et al. Single-pixel polarimetric imaging spectrometer by compressive sensing. Appl. Phys. B 113, 551–558 (2013). https://doi.org/10.1007/s00340-013-5506-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-013-5506-2