[PDF][PDF] Applications of Lagrangian-based alternating direction methods and connections to split Bregman

E Esser - CAM report, 2009 - math.uci.edu
Analogous to the connection between Bregman iteration and the method of multipliers that
was pointed out in [59], we show that a similar connection can be made between the split …

Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising

I Daubechies, G Teschke - Applied and Computational Harmonic Analysis, 2005 - Elsevier
Inspired by papers of Vese–Osher [Modeling textures with total variation minimization and
oscillating patterns in image processing, Technical Report 02-19, 2002] and Osher–Solé …

Experimental determination of the energy generated in nuclear cascades by a high energy beam

S Andriamonje, A Angelopoulos, A Apostolakis… - Physics Letters B, 1995 - Elsevier
An already existing, sub-critical arrangement made of natural uranium and water moderator
has been exposed to a low intensity (≈ 109 ppp) proton beam from CERN-PS at several …

Image restoration and decomposition via bounded total variation and negative Hilbert-Sobolev spaces

LH Lieu, LA Vese - Applied mathematics and Optimization, 2008 - Springer
We propose a new class of models for image restoration and decomposition by functional
minimization. Following ideas of Y. Meyer in a total variation minimization framework of L …

[PDF][PDF] Iteratively Solving Linear Inverse Problems under General Convex Contraints

I Daubechies, G Teschke, L Vese - 2006 - opus4.kobv.de
We consider linear inverse problems where the solution is assumed to fulfill some general
homogeneous convex constraint. We develop an algorithm that amounts to a projected …

Error estimation for Bregman iterations and inverse scale space methods in image restoration

M Burger, E Resmerita, L He - Computing, 2007 - Springer
In this paper, we consider error estimation for image restoration problems based on
generalized Bregman distances. This error estimation technique has been used to derive …

A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity constraints

R Ramlau, G Teschke - Numerische Mathematik, 2006 - Springer
In this paper, we consider nonlinear inverse problems where the solution is assumed to
have a sparse expansion with respect to a preassigned basis or frame. We develop a …

Image Decomposition Using Total Variation and div(BMO)

TM Le, LA Vese - Multiscale Modeling & Simulation, 2005 - SIAM
This paper is devoted to the decomposition of an image f into u+ v, with ua piecewise-
smooth or" cartoon" component, and v an oscillatory component (texture or noise), in a …

Image decompositions using bounded variation and generalized homogeneous Besov spaces

JB Garnett, TM Le, Y Meyer, LA Vese - Applied and Computational …, 2007 - Elsevier
This paper is devoted to the decomposition of an image f into u+ v, with ua piecewise-
smooth or “cartoon” component, and v an oscillatory component (texture or noise), in a …

A numerical approach based on modified lucas wavelets for functional variational problems through integral operational matrix

A Kumar, SR Verma - International Journal of Applied and Computational …, 2023 - Springer
The present work introduces an approximated numerical technique for functional variational
problems (FVPs) with mixed boundary conditions which are based on the integral …