Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact Publication 16-CNA-029 Exact Solutions For The Denoising Problem Of Piecewise Constant Images In Dimension One R. CristoferiDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh PA 15213-3890 USArcristof@andrew.cmu.eduAbstract: In this paper we provide a method to compute explicitly the solution of the total variation denoising problem with a $L^p$ fidelity term, where $p > 1$, for piecewise constant data in dimension one. Get the paper in its entirety as  16-CNA-029.pdf