caa a22 4500 467914419 CHVBK 20180406152858.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s11263-006-4331-z doi (NATIONALLICENCE)springer-10.1007/s11263-006-4331-z Structure-Texture Image Decomposition—Modeling, Algorithms, and Parameter Selection [Elektronische Daten] [Jean-François Aujol, Guy Gilboa, Tony Chan, Stanley Osher] This paper explores various aspects of the image decomposition problem using modern variational techniques. We aim at splitting an original image f into two components u and ρ, where u holds the geometrical information and ρ holds the textural information. The focus of this paper is to study different energy terms and functional spaces that suit various types of textures. Our modeling uses the total-variation energy for extracting the structural part and one of four of the following norms for the textural part: L2, G, L1 and a new tunable norm, suggested here for the first time, based on Gabor functions. Apart from the broad perspective and our suggestions when each model should be used, the paper contains three specific novelties: first we show that the correlation graph between u and ρ may serve as an efficient tool to select the splitting parameter, second we propose a new fast algorithm to solve the TV − L1 minimization problem, and third we introduce the theory and design tools for the TV-Gabor model. Springer Science + Business Media, Inc., 2006 image decomposition nationallicence restoration nationallicence parameter selection nationallicence BV nationallicence G nationallicence L 1 nationallicence Hilbert space nationallicence projection nationallicence total-variation nationallicence Gabor functions nationallicence Aujol Jean-François Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut Gilboa Guy Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut Chan Tony Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut Osher Stanley Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut International Journal of Computer Vision Kluwer Academic Publishers 67/1(2006-04-01), 111-136 0920-5691 67:1<111 2006 67 11263 https://doi.org/10.1007/s11263-006-4331-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11263-006-4331-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aujol Jean-François Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut NATIONALLICENCE 700 1- Gilboa Guy Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut NATIONALLICENCE 700 1- Chan Tony Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut NATIONALLICENCE 700 1- Osher Stanley Department of Mathematics, UCLA, 90095, Los Angeles, California, USA aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 67/1(2006-04-01), 111-136 0920-5691 67:1<111 2006 67 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer