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We present a polarized dual Single Pixel Camera (SPC) operating in the Short Wave Infrared (SWIR) spectral range that uses a total variation based reconstruction method to reconstruct polarized images from an ensemble of compressed measurements. Walsh-Hadamard matrices are used for generating pseudo-random measurements which speed up the reconstruction and enable reconstruction of high resolution images. The system combines a Digital Micromirror Device (DMD), two nearly identical InGaAs photodiodes and two polarization filters. Roughly half of the DMD-mirrors are oriented toward the first photodiode and the complementary DMD-mirrors are oriented toward the second photodiode. Total variation based reconstruction strategies have been implemented, and evaluated on both simulated compressed measurements, and real outdoor scenes using the developed system.