Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Combining total variation and wavelet packet approaches for image deblurring
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Image De-noising Algorithms Based on PDE and Wavelet
ISCID '08 Proceedings of the 2008 International Symposium on Computational Intelligence and Design - Volume 01
Fast, robust total variation-based reconstruction of noisy, blurred images
IEEE Transactions on Image Processing
Fourth-order partial differential equations for noise removal
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
A new iterated two-band diffusion equation: theory and its application
IEEE Transactions on Image Processing
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Traditional diffusivity based denoising models detect edges by the gradients of images, and thus are easily affected by noise. In this paper, we introduce a nonlinear diffusion denoising method based on the wavelet domain diffusivity model and context information. The shift-invariant property of the stationary wavelet transform makes it suitable for edge detection and derivation of texture information. In the proposed diffusion model, the modulus of gradient in a diffusivity function is substituted by the modulus of a wavelet detail coefficient. The diffusion of a wavelet coefficient is performed based on the information about the energy of the transform in a local neighborhood of coefficients across the scales. It is shown that the new model has better noise suppression and better perceptual quality power for high levels of noise. Objectively results are evaluated based on PSNR and Laplacian mean-square error (LMSE) metrics.