Maximum-entropy image restoration: Lagrange and recursive techniques

摘要: A new solution to the maximum-entropy image-restoration problem, assuming Poisson-noise statistics and multinomial object statistics, is presented. set of nonlinear equations solved using Lagrange multipliers in a way analogous that Frieden Wells [ J. Opt. Soc. Am.68, 93 ( 1978)]. However, unlike Frieden–Wells solution, presented here derived without making approximations noise statistics. This equivalent obtained an earlier paper recursive methods Am. A76, 787 1986)]. The simplicity permits interpretation shows how method arrives at maximally smooth solution.