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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1002/cne.900500103

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1572-9265

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Algorithms and software for total variation image

Authors: Joachim Dahl Per Christian Hansen Søren Holdt Jensen Tobias Lindstrøm Jensen
Publish Date: 2009/07/08
Volume: 53, Issue: 1, Pages: 67-
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Abstract

This paper describes new algorithms and related software for total variation TV image reconstruction more specifically denoising inpainting and deblurring The algorithms are based on one of Nesterov’s firstorder methods tailored to the image processing applications in such a way that except for the mandatory regularization parameter the user needs not specify any parameters in the algorithms The software is written in C with interface to Matlab version 75 or later and we demonstrate its performance and use with examples

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  2. Design with L-splines
  3. Accelerated Landweber methods based on co-dilated orthogonal polynomials
  4. A small note on the scaling of symmetric positive definite semiseparable matrices
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  7. Recursive self preconditioning method based on Schur complement for Toeplitz matrices
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  11. On linearly related orthogonal polynomials in several variables
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  13. Numerical methods for computing sensitivities for ODEs and DDEs
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  16. Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
  17. A global convergent derivative-free method for solving a system of non-linear equations
  18. A new constrained total variational deblurring model and its fast algorithm
  19. Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control
  20. Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques
  21. A study of accelerated Newton methods for multiple polynomial roots
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  25. Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations
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