Abstract
In this chapter, we provide an introduction to spectro-polarimetric imaging. We show that the radiance transmitted through a linear polariser varies as a sinusoidal function of the polariser angle, i.e. the transmitted radiance sinusoid curves. We review different techniques to decompose polarisation images into their reflection compoents including the unpolarised intensity, the phase and the degree of linear polarisation. We then analyse the underlying physical process of polarisation upon the penetration, scattering, refraction and reflection of light from materials. Furthermore, we relate the polarisation components to the Fresnel reflection ratio resulting from specular reflection and the Fresnel transmission ratio resulting from diffuse reflection. Finally, we present a polarimetric reflection model for rough surfaces under spatially varying illumination. This model extends the specular component of the Torrance–Sparrow model to account for light polarisation upon off-specular reflection from rough surfaces. As a result, the specular polarimetric components can be expressed as functions of the perpendicular and parallel Fresnel reflection coefficients and the illuminant spectrum.
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References
Atkinson, G., & Hancock, E. R. (2005a). Multi-view surface reconstruction using polarization. In International conference on computer vision (pp. 309–316).
Atkinson, G., & Hancock, E. R. (2005b). Recovery of surface height using polarization from two views. In CAIP (pp. 162–170).
Atkinson, G. A., & Hancock, E. R. (2006). Recovery of surface orientation from diffuse polarization. IEEE Transactions on Image Processing, 15(6), 1653–1664.
Atkinson, G. A., & Hancock, E. R. (2007). Shape estimation using polarization and shading from two views. IEEE Transactions on Pattern Analysis and Machine Intelligence, 29(11), 2001–2017.
Beckmann, P., & Spizzichino, A. (1963). The scattering of electromagnetic waves from rough surfaces. New York: Pergamon.
Born, M., & Wolf, E. (1999). Principles of optics: electromagnetic theory of propagation, interference and diffraction of light (7th ed.). Cambridge: Cambridge University Press.
Drbohlav, O., & Sára, R. (2001). Unambigous determination of shape from photometric stereo with unknown light sources. In International conference on computer vision (pp. 581–586).
Goudail, F., Terrier, P., Takakura, Y., Bigué, L., Galland, F., & DeVlaminck, V. (2004). Target detection with a liquid-crystal-based passive stokes polarimeter. Applied Optics, 43(2), 274–282.
Hall, J. S. (1951). Some polarization measurements in astronomy. Journal of the Optical Society of America, 41(12), 963–966.
Hawryshyn, C. W. (2000). Ultraviolet polarization vision in fishes: possible mechanisms for coding e-vector. Philosophical Transactions: Biological Sciences, 355(1401), 1187–1190.
Hecht, E. (2002). Optics (4th ed.). Reading: Addison-Wesley.
Huynh, C. P., Robles-Kelly, A., & Hancock, E. R. (2010). Shape and refractive index recovery from single-view polarisation images. In IEEE conference on computer vision and pattern recognition.
Kasarova, S. N., Sultanova, N. G., Ivanov, C. D., & Nikolo, I. D. (2007). Analysis of the dispersion of optical plastic materials. Optical Materials, 29, 1481–1490.
Mandel, L., & Wolf, E. (1995). Optical coherence and quantum optics. Cambridge: Cambridge University Press.
Marquardt, D. (1963). An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal on Applied Mathematics, 11, 431–441.
Marshall, N. J., Land, M. F., King, C. A., & Cronin, T. W. (1991). The compound eyes of Mantis Shrimps (Crustacea, Hoplocarida, Stomatopoda). I. Compound eye structure: the detection of polarized light. Philosophical Transactions: Biological Sciences, 334(1269), 33–56.
Miyazaki, D., Kagesawa, M., & Ikeuchi, K. (2004). Transparent surface modeling from a pair of polarization images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(1), 73–82.
Nayar, S. K., Fang, X. q. S., & Boult, T. (1997). Separation of reflection components using color and polarization. International Journal of Computer Vision, 21(3), 163–186.
Novak, C., & Shafer, S. (1992). Anatomy of a color histogram. In Proceedings of the IEEE conference on computer vision and pattern recognition (pp. 599–605).
Oren, M., & Nayar, S. K. (1995). Generalization of the Lambertian model and implications for machine vision. International Journal of Computer Vision, 14(3), 227–251.
Rahmann, S., & Canterakis, N. (2001). Reconstruction of specular surfaces using polarization imaging. In IEEE conference on computer vision and pattern recognition (Vol. 1, pp. 149–155).
Sadjadi, F. A., & Chun, C. S. L. (2004). Remote sensing using passive infrared stokes parameters. Optical Engineering, 43, 2283–2291.
Sato, Y., & Ikeuchi, K. (1994). Temporal-color space analysis of reflection. Journal of the Optical Society of America A, 11(11), 2990–3002.
Shafer, S. A. (1985). Using color to separate reflection components. Color Research and Application, 10(4), 210–218.
Torrance, K., & Sparrow, E. (1967). Theory for off-specular reflection from roughened surfaces. Journal of the Optical Society of America, 57(9), 1105–1112.
Torrance, K. E., Sparrow, E. M., & Birkebak, R. C. (1966). Polarization, directional distribution, and off-specular peak phenomena in light reflected from roughened surfaces. Journal of the Optical Society of America, 56, 916–924.
Umeyama, S., & Godin, G. (2004). Separation of diffuse and specular components of surface reflection by use of polarization and statistical analysis of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(5), 639–647.
Wolff, L. B. (1989). Using polarization to separate reflection components. In Computer vision and pattern recognition (pp. 363–369).
Wolff, L. B. (1994). Diffuse-reflectance model for smooth dielectric surfaces (pp. 2956–2968).
Wolff, L. B. (1997). Polarization vision: a new sensory approach to image understanding. Image and Vision Computing, 15(2), 81–93.
Wolff, L. B., & Andreou, A. G. (1995). Polarization camera sensors. Image and Vision Computing, 13(6), 497–510.
Wolff, L. B., & Boult, T. E. (1989). Polarization/radiometric based material classification. In Computer vision and pattern recognition (pp. 387–395).
Wolff, L. B., & Boult, T. E. (1991). Constraining object features using a polarization reflectance model. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(7), 635–657.
Wolff, L. B., Mancini, T. A., Pouliquen, P., & Andreou, A. G. (1997). Liquid crystal polarization camera. IEEE Transactions on Robotics and Automation, 13(2), 195–203.
Wyszecki, G., & Stiles, W. S. (2000). Color science: concepts and methods, quantitative data and formulae. New York: Wiley.
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Robles-Kelly, A., Huynh, C.P. (2013). Polarisation of Light. In: Imaging Spectroscopy for Scene Analysis. Advances in Computer Vision and Pattern Recognition. Springer, London. https://doi.org/10.1007/978-1-4471-4652-0_10
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DOI: https://doi.org/10.1007/978-1-4471-4652-0_10
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