IEEE Trans Image Process - Bits from photons: oversampled image acquisition using binary Poisson statistics.

Tópicos

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Resumo

We study a new image sensor that is reminiscent of a traditional photographic film. Each pixel in the sensor has a binary response, giving only a 1-bit quantized measurement of the local light intensity. To analyze its performance, we formulate the oversampled binary sensing scheme as a parameter estimation problem based on quantized Poisson statistics. We show that, with a single-photon quantization threshold and large oversampling factors, the Cram?r-Rao lower bound (CRLB) of the estimation variance approaches that of an ideal unquantized sensor, i.e., as if there were no quantization in the sensor measurements. Furthermore, the CRLB is shown to be asymptotically achievable by the maximum-likelihood estimator (MLE). By showing that the log-likelihood function of our problem is concave, we guarantee the global optimality of iterative algorithms in finding the MLE. Numerical results on both synthetic data and images taken by a prototype sensor verify our theoretical analysis and demonstrate the effectiveness of our image reconstruction algorithm. They also suggest the potential application of the oversampled binary sensing scheme in high dynamic range photography.

Resumo Limpo

studi new imag sensor reminisc tradit photograph film pixel sensor binari respons give bit quantiz measur local light intens analyz perform formul oversampl binari sens scheme paramet estim problem base quantiz poisson statist show singlephoton quantiz threshold larg oversampl factor cramrrao lower bound crlb estim varianc approach ideal unquant sensor ie quantiz sensor measur furthermor crlb shown asymptot achiev maximumlikelihood estim mle show loglikelihood function problem concav guarante global optim iter algorithm find mle numer result synthet data imag taken prototyp sensor verifi theoret analysi demonstr effect imag reconstruct algorithm also suggest potenti applic oversampl binari sens scheme high dynam rang photographi

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