Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
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
Removing Noise and Preserving Details with Relaxed Median Filters
Journal of Mathematical Imaging and Vision
High-Order Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Coherence-Enhancing Diffusion Filtering
International Journal of Computer Vision
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
Image restoration combining a total variational filter and a fourth-order filter
Journal of Visual Communication and Image Representation
An Improved Hybrid Model for Molecular Image Denoising
Journal of Mathematical Imaging and Vision
A Self-governing Hybrid Model for Noise Removal
PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
Behavioral analysis of anisotropic diffusion in image processing
IEEE Transactions on Image Processing
Adaptive smoothing respecting feature directions
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Optimally isotropic Laplacian operator
IEEE Transactions on Image Processing
Fourth-order partial differential equations for noise removal
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Noise removal using smoothed normals and surface fitting
IEEE Transactions on Image Processing
An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
International Journal of Computer Vision
Two Enhanced Fourth Order Diffusion Models for Image Denoising
Journal of Mathematical Imaging and Vision
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Fourth-order nonlinear diffusion filters are isotropic filters in which the strength of diffusion at regions with strong image features such as regions with an edge or texture is reduced leading to their preservation. However, the optimal choice of parameter in the numerical solver of these filters for having a minimal distortion of the image features results in a very slow convergence rate and formation of speckle noise on the denoised image especially when the noise level is moderately high. In this paper, a new fourth-order nonlinear diffusion filter is introduced, which have an anisotropic behavior on the image features. In the proposed filter, it is shown that a suitable design of a set of diffusivity functions to unevenly control the diffusion on the directions of level set and gradient leads to a fast convergent filter with a good edge preservation capability. The comparison of the results obtained by the proposed filter with that of the classical and recently developed techniques shows that the proposed method produces a noticeable improvement in the quality of denoised images evaluated subjectively and quantitatively as well as a substantial increment of the convergence rate comparing to the classical filter.