  A new image denoising algorithm to deal with the Poisson noise model is
given, which is based on the idea of Non-Local Mean. By using the "Oracle"
concept, we establish a theorem to show that the Non-Local Means Filter can
effectively deal with Poisson noise with some modification. Under the
theoretical result, we construct our new algorithm called Non-Local Means
Poisson Filter and demonstrate in theory that the filter converges at the usual
optimal rate. The filter is as simple as the classic Non-Local Means and the
simulation results show that our filter is very competitive.
