https://hal-enpc.archives-ouvertes.fr/hal-01811732Mourabit, IdrissIdrissMourabitUCA - Université Cadi Ayyad [Marrakech]El Rhabi, MohammedMohammedEl RhabiENPC - École des Ponts ParisTechHakim, AbdelilahAbdelilahHakimUCA - Université Cadi Ayyad [Marrakech]Orthogonal projection algorithm for first and second order total variation denoisingHAL CCSD2015second order total variationProjection algorithmTotal variationDenoisingPartial Differential EquationPartial differential equations[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA][INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV]El Rhabi, Mohammed2018-06-11 14:01:462021-06-01 11:56:162018-06-11 14:25:35enJournal articlesapplication/pdf1The denoising problem is the process of removing the noise from a degraded image. As we know, the Rodin Osher Fatemi (ROF) denoising model based on total variation is a robust approach for solving the ill-posed problem. To avoid the staircasing effects caused by the first order total variation, the second order one is proposed. In this work, we present an orthogonal projection algorithm for solving the ROF model with first and second order total variation. The efficiency and robustness against noise of the proposed model are illustrated and compared with the classical methods through numerical simulations.