Abstract: The article is devoted to the synthesis of a new nonlinear filtration methods for a piecewise constant signals distorted by Poisson noise. The proposed approach to filtering assumes the ...

Abstract: Many inverse problems in science and engineering are formulated as recovery of piecewise finite-dimensional continuous (PFC) signals. Although the higher-order total variation (HTV) is known ...

Consider a sequence of real data points X₁, . . . , Xn with underlying means θ*₁, . . . ,θ*n. This paper starts from studying the setting that θ*i is both piecewise constant and monotone as a function ...