On a Mathematical Theory of Coded Exposure
CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS
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This paper proposes a mathematical model and formalism to study coded exposure flutter shutter cameras. The model includes the Poisson photon shot noise as well as any additive readout noise of finite variance. This is an improvement compared to our previous work that only considered the Poisson noise. In addition, closed formulae for the Mean Square Error and Signal to Noise Ratio of the coded exposure method are given. These formulae take into account for the whole imaging chain, i.e., the Poisson photon shot noise, any readout noise of finite variance as well as the deconvolution and are valid for any exposure code. In addition, we give an explicit formula that gives an absolute upper bound for the gain of any coded exposure cameras in function of the temporal sampling of the exposure code. The gain is to be understood in terms of Mean Square Error or equivalently in terms of Signal to Noise Ratio, with respect to a snapshot.
- Operations Research