Abstract | ||
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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 |
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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. Candela | 1 | 15 | 4.59 |
Antonio Marquina | 2 | 431 | 45.30 |
Susana Serna | 3 | 6 | 1.25 |