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Time and Memory Efficient Lempel-Ziv Compression Using Suffix Arrays
Artur Ferreira, Arlindo Oliveira, Mario Figueiredo
The well-known dictionary-based algorithms of the Lempel-Ziv (LZ) 77 family are the basis of several universal lossless compression techniques. These algorithms are asymmetric rega…
An Augmented Lagrangian Approach to the Constrained Optimization Formulation of Imaging Inverse Problems
Manya V. Afonso, José M. Bioucas-Dias, Mário A. T. Figueiredo
We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized unde…
Multiplicative Noise Removal Using Variable Splitting and Constrained Optimization
José M. Bioucas-Dias, Mário A. T. Figueiredo
Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser…
A Fast Algorithm for the Constrained Formulation of Compressive Image Reconstruction and Other Linear Inverse Problems
Manya V. Afonso, Jose M. Bioucas-Dias, Mario A. T. Figueiredo
Ill-posed linear inverse problems (ILIP), such as restoration and reconstruction, are a core topic of signal/image processing. A standard approach to deal with ILIP uses a constrai…
Fast Frame-Based Image Deconvolution Using Variable Splitting and Constrained Optimization
Mario A. T. Figueiredo, Jose M. Bioucas-Dias, Manya V. Afonso
We propose a new fast algorithm for solving one of the standard formulations of frame-based image deconvolution: an unconstrained optimization problem, involving an data-f…
Deconvolution of Poissonian Images Using Variable Splitting and Augmented Lagrangian Optimization
Mario A. T. Figueiredo, Jose M. Bioucas-Dias
Although much research has been devoted to the problem of restoring Poissonian images, namely in the fields of medical and astronomical imaging, applying the state of the art regul…
On the Use of Suffix Arrays for Memory-Efficient Lempel-Ziv Data Compression
Artur Ferreira, Arlindo Oliveira, Mario Figueiredo
Much research has been devoted to optimizing algorithms of the Lempel-Ziv (LZ) 77 family, both in terms of speed and memory requirements. Binary search trees and suffix trees (ST)…
Total Variation Restoration of Speckled Images Using a Split-Bregman Algorithm
Jose M. Bioucas-Dias, Mario A. T. Figueiredo
Multiplicative noise models occur in the study of several coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. This type of noise…