We present an approach to recover scenes deteriorated by reflections off a semireflecting medium (e.g., a glass window). The method, based on imaging through a polarizer at two or more orientations, separates the reflected and transmitted scenes and determines which is which. We analyze the polarization effects, taking into account internal reflections within the medium. The scene reconstruction requires the estimation of the orientation (inclination and tilt angles) of the transparent (invisible) surface. The inclination angle is estimated by seeking the value that leads to the minimal mutual information of the estimated scenes. The limitations and the consequences of noise and angle error are discussed, including a fundamental ambiguity in the determination of the plane of incidence. Experimental results demonstrate the success of angle estimation and consequent scene separation and labeling.
© 2000 Optical Society of America
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(150.0150) Machine vision : Machine vision
(150.6910) Machine vision : Three-dimensional sensing
(260.5430) Physical optics : Polarization
Yoav Y. Schechner, Joseph Shamir, and Nahum Kiryati, "Polarization and statistical analysis of scenes containing a semireflector," J. Opt. Soc. Am. A 17, 276-284 (2000)