NPtool swMATH ID: 6855 Software Authors: Landi, Germana; Piccolomini, Elena Loli Description: NPtool: a MATLAB software for nonnegative image restoration with Newton projection methods Several image restoration applications require the solution of nonnegatively constrained minimization problems whose objective function is typically constituted by the sum of a data fit function and a regularization function. Newton projection methods are very attractive because of their fast convergence, but they need an efficient implementation to avoid time consuming iterations. In this paper we present NPTool, a set of Matlab functions implementing Newton projection methods for image denoising and deblurring applications. They are specifically thought for two different data fit functions, the Least Squares function and the Kullback-Leibler divergence, and two regularization functions, Tikhonov and Total Variation, giving the opportunity of solving a large variety of restoration problems. The package is easily extensible to other linear or nonlinear data fit and regularization functions. Some examples of its use are included in the package and shown in this paper. Homepage: http://www.dm.unibo.it/~landig/NPTool/NPTool.html Dependencies: Matlab Keywords: Matlab software; image restoration; regularization; Newton projection methods; constrained optimization Related Software: RestoreTools; RecPF; Matlab; NESTA; BM3D; PNKH-B; GitHub; ADMM-Softmax; AdaGrad; jInv; MNIST; LBFGS-B; KELLEY; NNLS; SPGL1; PDCO; TwIST; AIRY Cited in: 9 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year NPtool: a MATLAB software for nonnegative image restoration with Newton projection methods. Zbl 1262.65033Landi, Germana; Piccolomini, Elena Loli 2013 all top 5 Cited by 15 Authors 5 Lv, Xiaoguang 3 Jiang, Le 3 Liu, Jun 2 Huang, Jin 2 Landi, Germana 2 Li, Fang 1 Chowdhury, Mujibur Rahman 1 Fung, Samy Wu 1 Kan, Kelvin K. 1 Loli Piccolomini, Elena 1 Lou, Yifei 1 Qin, Jing 1 Ruthotto, Lars 1 Song, Yongzhong 1 Zhang, Jun all top 5 Cited in 8 Serials 2 Numerical Algorithms 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 Inverse Problems and Imaging 1 Journal of Mathematics all top 5 Cited in 8 Fields 8 Information and communication theory, circuits (94-XX) 6 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year