Abstract | ||
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We propose using Partial Differential Equation (PDE) techniques in wavelet based image processing to remove noise and reduce edge artifacts generated by wavelet thresholding. We employ a variational framework, in particular the minimization of total variation (TV), to select and modify the retained wavelet coefficients so that the reconstructed images have fewer oscillations near edges while noise is smoothed. Numerical experiments show that this approach improves the reconstructed image quality in wavelet compression and in denoising. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1007/s10915-007-9133-0 | J. Sci. Comput. |
Keywords | Field | DocType |
wavelet thresholding,reconstructed image quality,numerical experiment,reconstructed image,edge artifact,image processing,retained wavelet,total variation wavelet thresholding,wavelet compression,partial differential equation,fewer oscillation,total variation,oscillations,wavelet,image quality | Mathematical optimization,Lifting scheme,Pattern recognition,Second-generation wavelet transform,Artificial intelligence,Discrete wavelet transform,Cascade algorithm,Stationary wavelet transform,Wavelet packet decomposition,Mathematics,Wavelet,Wavelet transform | Journal |
Volume | Issue | ISSN |
32 | 2 | 1573-7691 |
Citations | PageRank | References |
10 | 0.61 | 14 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tony F. Chan | 1 | 8733 | 659.77 |
Hao-Min Zhou | 2 | 174 | 17.98 |