title: Improved L0 Gradient Minimization with L1 Fidelity for Image Smoothing.
abstract: Edge-preserving image smoothing is one of the fundamental tasks in the field of computer graphics and computer vision. Recently, L0 gradient minimization (LGM) has been proposed for this purpose. In contrast to the total variation (TV) model which employs the L1 norm of the image gradient, the LGM model adopts the L0 norm and yields much better results for the piecewise constant image. However, as an improvement of the total variation (TV) model, the LGM model also suffers, even more seriously, from the staircasing effect and is not robust to noise. In order to overcome these drawbacks, in this paper, we propose an improvement of the LGM model by prefiltering the image gradient and employing the L1 fidelity. The proposed improved LGM (ILGM) behaves robustly to noise and overcomes the staircasing artifact effectively. Experimental results show that the ILGM is promising as compared with the existing methods.
authors.affiliation: School of Computer Science and Communication Engineering, TJUT, Tianjin, China; School of Information Engineering, Tianjin University of Commerce, Tianjin, China; The Key Lab of Big Data Computing of Hebei Province, School of Computer Science and Engineering, HEBUT, Tianjin, China.
authors.forename: Xueshun
authors.initials: X
authors.lastname: Pang
authors.affiliation: School of Information Engineering, Tianjin University of Commerce, Tianjin, China.
authors.forename: Suqi
authors.initials: S
authors.lastname: Zhang
authors.affiliation: The Key Lab of Big Data Computing of Hebei Province, School of Computer Science and Engineering, HEBUT, Tianjin, China.
authors.forename: Junhua
authors.initials: J
authors.lastname: Gu
authors.affiliation: The Key Lab of Big Data Computing of Hebei Province, School of Computer Science and Engineering, HEBUT, Tianjin, China.
authors.forename: Lingling
authors.initials: L
authors.lastname: Li
authors.affiliation: The Key Lab of Big Data Computing of Hebei Province, School of Computer Science and Engineering, HEBUT, Tianjin, China.
authors.forename: Boying
authors.initials: B
authors.lastname: Liu
authors.affiliation: School of Computer Science and Communication Engineering, TJUT, Tianjin, China.
authors.forename: Huaibin
authors.initials: H
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D019047:Phantoms, Imaging