RestoreTools swMATH ID: 4822 Software Authors: Nagy, James G.; Palmer, Katrina; Perrone, Lisa Description: Iterative methods for image deblurring: A Matlab object-oriented approach. In iterative image restoration methods, implementation of efficient matrix vector multiplication, and linear system solves for preconditioners, can be a tedious and time consuming process. Different blurring functions and boundary conditions often require implementing different data structures and algorithms. A complex set of computational methods is needed, each likely having different input parameters and calling sequences. This paper describes a set of Matlab tools that hide these complicated implementation details. Combining the powerful scientific computing and graphics capabilities in Matlab, with the ability to do object-oriented programming and operator overloading, results in a set of classes that is easy to use, and easily extensible. Homepage: http://www.mathcs.emory.edu/~nagy/RestoreTools/index.html Dependencies: Matlab Keywords: image restoration; ill-posed problem; regularization; Matlab; object-oriented programming; iterative methods; preconditioning; numerical examples Related Software: Regularization tools; IR Tools; UTV; LSQR; AIR tools; Matlab; LSMR; NPtool; RecPF; GKB-FP; HyBR; ForWaRD; BSDS; NESTA; FFTW; mctoolbox; KELLEY; FUNFITS; BM3D; ADMAT Cited in: 70 Publications all top 5 Cited by 120 Authors 8 Donatelli, Marco 8 Lv, Xiaoguang 7 Nagy, James Gerard 6 Reichel, Lothar 5 Chung, Julianne M. 5 Huang, Ting-Zhu 5 Jia, Zhongxiao 5 Landi, Germana 4 Gazzola, Silvia 4 Kilmer, Misha Elena 4 Serra-Capizzano, Stefano 4 Zhao, Xile 3 Jiang, Le 3 Liu, Jun 3 Xu, Zongben 2 Bardsley, Johnathan M. 2 Calvetti, Daniela 2 de Sturler, Eric 2 di Serafino, Daniela 2 Hnětynková, Iveta 2 Huang, Jin 2 Huckle, Thomas Kilian 2 Jiang, Jiahua 2 Kubínová, Marie 2 Li, Fang 2 Loli Piccolomini, Elena 2 Ramlau, Ronny 2 Renaut, Rosemary Anne 2 Sabaté Landman, Malena 2 Shuibi, A. 2 Soodhalter, Kirk M. 1 Aeron, Shuchin 1 Aminikhah, Hossein 1 Ardestani, Vahid E. 1 Aricò, Antonio 1 Aykanat, Cevdet 1 Bakushinskĭ, Anatoliĭ Borisovich B. 1 Bastani, Mehdi 1 Becker, Jean-Marie 1 Bianchi, Davide 1 Borges, Leonardo Silveira 1 Cai, Yuantao 1 Christiansen, Martin Ravn 1 Cui, Jingjing 1 Danelakis, Antonios 1 De Asmundis, Roberta 1 Deng, Liangjian 1 Denis, Loïc 1 Dykes, Laura 1 Estatico, Claudio 1 Fan, Hongtao 1 Fan, Ying Wai 1 Fung, Samy Wu 1 Golub, Gene Howard 1 Gu, Xian-Ming 1 Haber, Eldad 1 Hanke-Bourgeois, Martin 1 Hansen, Per Christian 1 Hayami, Ken 1 Hosseini, Seyed Mohammad 1 Huang, Zhengge 1 Hutterer, Victoria 1 Kernfeld, Eric 1 Kjeldsen, R. H. 1 Konovalov, Alexander B. 1 Kravtsenyuk, Olga V. 1 Kwon, Sunjoo 1 Liu, Hui 1 Lu, Quan 1 Lyubimov, Vladimir V. 1 Malas, Tahir 1 Martin, David R. 1 Martinelli, Andrea 1 Mazza, Mariarosa 1 Mead, Jodi L. 1 Merikoski, Jorma Kaarlo 1 Meurant, Gérard A. 1 Mitrouli, Marilena 1 Morigi, Serena 1 Mourya, Rahul 1 Newman, Elizabeth 1 Oh, Seyoung T. 1 O’Leary, Dianne P. 1 Palmer, Katrina 1 Pauca, V. Paul 1 Peng, Guohua 1 Perrone, Lisa 1 Pinar, Mustafa Çelebi 1 Piper, Jim 1 Plemmons, Robert James 1 Plešinger, Martin 1 Redivo-Zaglia, Michela 1 Rezghi, Mansoor 1 Rodriguez, Giuseppe 1 Ruthotto, Lars 1 Sedlacek, Matous 1 Sesana, Debora 1 Sgallari, Fiorella 1 Smirnova, Alexandra B. 1 Song, Xiongfeng ...and 20 more Authors all top 5 Cited in 30 Serials 10 Numerical Algorithms 8 SIAM Journal on Scientific Computing 5 Journal of Computational and Applied Mathematics 5 Linear Algebra and its Applications 4 Applied Mathematics and Computation 4 BIT 3 Inverse Problems 3 Applied Mathematical Modelling 3 ETNA. Electronic Transactions on Numerical Analysis 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Journal of Electrical and Computer Engineering 1 Computers & Mathematics with Applications 1 Calcolo 1 Computing 1 Information Sciences 1 Applied Numerical Mathematics 1 Journal of Parallel and Distributed Computing 1 International Journal of Computer Mathematics 1 Computational Statistics and Data Analysis 1 International Journal of Computer Vision 1 Journal of Inverse and Ill-Posed Problems 1 Mathematical Problems in Engineering 1 International Journal of Pure and Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 EURASIP Journal on Advances in Signal Processing 1 SIAM Journal on Imaging Sciences 1 Journal of Mathematics 1 Princeton Series in Applied Mathematics all top 5 Cited in 15 Fields 58 Numerical analysis (65-XX) 31 Information and communication theory, circuits (94-XX) 15 Computer science (68-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 4 Statistics (62-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year