caa a22 4500 467914788 CHVBK 20180406152859.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s11263-005-3219-7 doi (NATIONALLICENCE)springer-10.1007/s11263-005-3219-7 Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional [Elektronische Daten] [Marius Lysaker, Xue-Cheng Tai] A noise removal technique using partial differential equations (PDEs) is proposed here. It combines the Total Variational (TV) filter with a fourth-order PDE filter. The combined technique is able to preserve edges and at the same time avoid the staircase effect in smooth regions. A weighting function is used in an iterative way to combine the solutions of the TV-filter and the fourth-order filter. Numerical experiments confirm that the new method is able to use less restrictive time step than the fourth-order filter. Numerical examples using images with objects consisting of edge, flat and intermediate regions illustrate advantages of the proposed model. Springer Science + Business Media, Inc, 2006 iterative image restoration nationallicence convex combination nationallicence characteristic features nationallicence PDEs nationallicence Lysaker Marius Department of Scientific Computing, Simula Research Laboratory, AS, Norway aut Tai Xue-Cheng Department of Mathematics, University of Bergen, N-5008, Bergen, Norway aut International Journal of Computer Vision Kluwer Academic Publishers 66/1(2006-01-01), 5-18 0920-5691 66:1<5 2006 66 11263 https://doi.org/10.1007/s11263-005-3219-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11263-005-3219-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lysaker Marius Department of Scientific Computing, Simula Research Laboratory, AS, Norway aut NATIONALLICENCE 700 1- Tai Xue-Cheng Department of Mathematics, University of Bergen, N-5008, Bergen, Norway aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 66/1(2006-01-01), 5-18 0920-5691 66:1<5 2006 66 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer