IEEE Transactions on Pattern Analysis and Machine Intelligence
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Image denoising with complex ridgelets
Pattern Recognition
Image De-noising Based on Multi-wavelet
IFITA '09 Proceedings of the 2009 International Forum on Information Technology and Applications - Volume 03
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
SIAM Journal on Imaging Sciences
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
SIAM Journal on Imaging Sciences
Expert Systems with Applications: An International Journal
The Shiftable Complex Directional Pyramid—Part I: Theoretical Aspects
IEEE Transactions on Signal Processing - Part I
Bayesian tree-structured image modeling using wavelet-domain hidden Markov models
IEEE Transactions on Image Processing
A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising
IEEE Transactions on Image Processing
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
Sparse geometric image representations with bandelets
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
The Nonsubsampled Contourlet Transform: Theory, Design, and Applications
IEEE Transactions on Image Processing
A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding
IEEE Transactions on Image Processing
A New Family of Nonredundant Transforms Using Hybrid Wavelets and Directional Filter Banks
IEEE Transactions on Image Processing
Image Restoration Using Space-Variant Gaussian Scale Mixtures in Overcomplete Pyramids
IEEE Transactions on Image Processing
Image Modeling and Denoising With Orientation-Adapted Gaussian Scale Mixtures
IEEE Transactions on Image Processing
Fusing audio-visual fingerprint to detect TV commercial advertisement
Computers and Electrical Engineering
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For image denoising, the main challenge is how to preserve the information-bearing structures such as edges and textures to get satisfactory visual quality when improving the signal-to-noise-ratio (SNR). Edge-preserving image denoising has become a very intensive research topic. In this paper, we describe a method for removing noise from digital images, based on bilateral filter and Gaussian scale mixtures (GSM) in shiftable complex directional pyramid (also named Pyramidal Dual-Tree Directional Filter Bank, PDTDFB) domain. Firstly, the noisy image is decomposed into different subbands of frequency and orientation responses using a PDTDFB transform. Secondly, the bilateral filter, which is a nonlinear filter that does spatial averaging without smoothing edges, is applied on the approximation subband. Finally, the distribution of detail subbands of PDTDFB coefficients is modeled with GSM, and the statistical model is then used to obtain the denoised detail coefficients from the noisy image decomposition by Bayes least squares estimator. Extensive experimental results demonstrate that our method can obtain better performances in terms of both subjective and objective evaluations than those state-of-the-art denoising techniques. Especially, the proposed method can preserve edges very well while removing noise.