Fourier-Curvelet Transform Combined Image Restoration

Deng Chengzhi; Wang Shengqian; Cao Hanqiang

[1] Aubert G., Kornprobst P.. Mathematical Problems in Image processing: Partial Differential Equations and the Calculus of Variations [M]. New York: Springer, 2001, 59~127

[2] You Y. L., Kaveh M.. Blind image restoration by anisotropic regularization [J]. IEEE Trans. on Image Processing, 1999, 8(3): 396~407

[3] Geman D., Yang C.. Nonlinear image recovery with half-quadratic regularization [J]. IEEE Trans. on Image Processing, 1995, 4(7): 932~946

[4] Seongjai K.. PDE-based image restoration: a hybrid model and color image denoising [J]. IEEE Trans. on Image Processing, 2006, 15(5): 1163~1170

[5] Neelamani R., Choi H., Baraniuk. FowWard: fourier-wavelet regularized deconvolution for ill-conditioned system [J]. IEEE Trans. on Signal Processing, 2004, 52(2): 418~433

[6] Bioucas-Dias J. M.. Bayesian wavelet-based image deconvolution: a GEM algorithm exploiting a class of heavy-tailed priors [J]. IEEE Trans. on Image Processing, 2006, 15(4): 937~951

[7] Daubechies I., Defrise M., Mol C. D.. An iterative thresholding algorithm for linear inverse problems with a sparsity constraint [J]. Comm. Pure Appl. Math., 2004, 57(11): 1413~1457

[8] Zhang Jingjing, Fang Yonghua. Novel denoising method for remote sensing image based on contourlet transform [J]. Act Optica Sinica, 2008, 28(3): 462~466

[9] Guo B. L., Zhang Q., Hou Y.. Region-based fusion of infrared and visible images using nonsubsampled contourlet transform [J]. Chin. Opt. Lett., 2008, 6(5): 338~341

[10] Wang Haihong, Zeng Ni, Lu Wei et al.. Edge detection of laser imaging radar based on wavelet transform and mathematical morphology [J]. Chinese J. Lasers, 2008, 35(6): 903~906

[11] Starck J. L., Nguyen M. K., Murtagh F.. Wavelets and curvelets for image deconvolution: a combined approach [J]. Signal Processing, 2003, 83(10): 2279~2283

[12] Chen S. S., Donoho D. L., Saunders M. A.. Atomic decomposition by basis pursuit [J]. SIAM Journal on Scientific Computing, 1999, 20(1): 33~61

[13] Elad M.. Why simple shrinkage is still relevant for redundant represents [J]. IEEE Trans. on Information Theory, 2006, 52(2): 5559~5569

[14] Guleryuz O. G.. nonlinear approximation based image recovery using adaptive sparse reconstructions and iterated denoising-part I: theory [J]. IEEE Trans. on Image Processing, 2006, 15(3): 539~554

[15] Donoho D. L.. De-noising by soft-thresholding [J]. IEEE Trans. on Information Theory, 1995, 41(3): 613~627

[16] Coifman R. R., Donoho D. L.. Translation-invariant denoising [C]. In: Antoniadis A, Oppenheim G, Eds. Wavelets and Statistics. Berlin: Springer-Verlag, 1995

[17] Rooms F., Philips W., Portilla J.. Parametric PSF estimation via sparseness maximization in the wavelet domain [C]. SPIE, 2004, 5607: 26~33