Adaptive image denoising using scale and space consistency

IEEE Transactions on Image Processing - Tập 11 Số 9 - Trang 1092-1101 - 2002
J. Scharcanski1, C.R. Jung2,1, R.T. Clarke3
1The Instituto de Informática, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brazil
2Universidade do Vale do Rio dos Sinos, Sao Leopoldo, Rio Grande do Sul, Brazil
3Instituto de Pesquisas Hidráulicas, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brazil

Tóm tắt

This paper proposes a new method for image denoising with edge preservation, based on image multiresolution decomposition by a redundant wavelet transform. In our approach, edges are implicitly located and preserved in the wavelet domain, whilst image noise is filtered out. At each resolution level, the image edges are estimated by gradient magnitudes (obtained from the wavelet coefficients), which are modeled probabilistically, and a shrinkage function is assembled based on the model obtained. Joint use of space and scale consistency is applied for better preservation of edges. The shrinkage functions are combined to preserve edges that appear simultaneously at several resolutions, and geometric constraints are applied to preserve edges that are not isolated. The proposed technique produces a filtered version of the original image, where homogeneous regions appear separated by well-defined edges. Possible applications include image presegmentation, and image denoising.

Từ khóa

#Image denoising #Image edge detection #Filtering #Wavelet transforms #Wavelet coefficients #Jacobian matrices #Image resolution #Wavelet domain #Noise reduction #Image reconstruction

Tài liệu tham khảo

strela, 2000, image denoising via a local gaussian scale mixture model in the wavelet domain, Proc SPIE 45th Annu Meeting 10.1049/cp:19990314 10.1109/34.142909 10.1109/34.192463 10.1109/TPAMI.1986.4767851 donoho, 1993, nonlinear wavelet methods for recovery of signals, densities and spectra from indirect and noisy data, Proc Symp Applied Mathematics, 10.1090/psapm/047/1268002 donoho, 1993, wavelet shrinkage and w.v.d.: a 10-minute tour, Progr Wavelet Anal Applicat larson, 1979, Probabilistic Models in Engineering Sciences, i 10.1109/97.803428 10.1080/01621459.1997.10473662 baraniuk, 1999, optimal tree approximation with wavelets, Proc SPIE Tech Conf Wavelet Applications Signal Processing VII, 3813, 196 10.1214/aos/1069362377 10.1109/83.563320 10.1109/83.336245 10.1109/ICIP.1996.559512 10.1198/016214501753168307 10.1109/TFTSA.1992.274118 10.1109/18.119727 10.1109/83.862630 10.1109/TPAMI.1980.4766994