Title
A local spectral inversion of a linearized TV model for denoising and deblurring
Abstract
We propose a model for denoising and deblurring. It consists of a system of linear partial differential equations with locally constant coefficients, obtained as a local linearization of the total variation (TV) models (see Rudin, L. et al., Physica D, vol.60, p.259-68, 1992). The keypoint of our model is to get the local inversion of the Laplacian operator, which is done via the fast Fourier transform (FFT). Two local schemes are developed: a pointwise one and a piecewise one. We analyze them both, and their advantages and limitations.
Year
DOI
Venue
2003
10.1109/TIP.2003.812760
IEEE Transactions on Image Processing
Keywords
Field
DocType
local linearization,difference equations,linear differential equations,partial differential equations,noise reduction,laplacian operator,tv,image analysis,image restoration,fft,total variation,fast fourier transform,fast fourier transforms,partial differential equation
Deblurring,Linear system,Mathematical analysis,Linear differential equation,Constant coefficients,Fast Fourier transform,Piecewise,Linearization,Mathematics,Pointwise
Journal
Volume
Issue
ISSN
12
7
1057-7149
Citations 
PageRank 
References 
6
1.25
7
Authors
3
Name
Order
Citations
PageRank
Vicente F. Candela1154.59
Antonio Marquina243145.30
Susana Serna361.25