David Rousseau whom I spoke to while at JIONC, pointed me to one of his very nice paper on using randomness produced in the lab to perform some imaging:

The paper is: Exploiting the speckle noise for compressive imaging by Agnès Delahaies, , David Rousseau, Denis Gindre, François Chapeau-Blondeau. The abstract reads:

An optical setup is proposed for the implementation of compressive sensing with coherent images. This setup speciﬁcally exploits the natural multiplicative action of speckle noise occurring with coherent light, in order to optically realize the essential step in compressive sensing which is the multiplication with known random patterns of the image to be acquired. In the test of the implementation, we speciﬁcally examine the impact of several departures, that exist in practice, from the ideal conditions of a pure multiplicative action of the speckle. In such practical realistic conditions, we assess the feasibility, performance and robustness of the optical scheme of compressive sensing.

I note that they have multiplicative and additive noise (B1 and B2)

and how the authors tried to quantify their influence on the resulting images:

Hopefully this is something that can be tackled with calibration.

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