Multiscale Poisson data smoothing

  title={Multiscale Poisson data smoothing},
  author={Maarten Jansen and TU Eindhoven},
This paper introduces a framework for nonlinear, multiscale decompositions of Poisson data with piecewise smooth intensity curves. The key concept is conditioning on the sum of the observations that are involved in the computation of a given coefficient. Within this framework, most classical wavelet thresholding schemes for data with additive, homoscedastic noise apply. Any family of wavelet transforms (orthogonal, biorthogonal, second generation) can be incorporated into this framework. The… CONTINUE READING
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