Abstract

We propose a method of reduction of experimental noise in single-pixel imaging by expressing the subsets of sampling patterns as linear combinations of vertices of a multidimensional regular simplex. This method also may be directly extended to complementary sampling. The modified measurement matrix contains nonnegative elements with patterns that may be directly displayed on intensity spatial light modulators. The measurement becomes theoretically independent of the ambient illumination, and in practice becomes more robust to the varying conditions of the experiment. We show how the optimal dimension of the simplex depends on the level of measurement noise. We present experimental results of single-pixel imaging using binarized sampling and real-time reconstruction with the Fourier domain regularized inversion method.

© 2019 Optical Society of America

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Supplementary Material (2)

NameDescription
» Visualization 1       Exemplary video captured with a single-pixel camera using 2000 binary DCT sampling without simplex encoding. Video recorded at 11.3 Hz frame rate with real-time reconstructions using fast Fourier domain regularized inversion method.
» Visualization 2       Exemplary video captured with a single-pixel camera using DCT sampling with encoding on a 10-dimensional simplex. The number of sampling functions displayed on DMD and other video parameters are the same as in Visualization 1.

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