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
Coherence-Enhancing Diffusion Filtering
International Journal of Computer Vision
Selection of Optimal Stopping Time for Nonlinear Diffusion Filtering
International Journal of Computer Vision
Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Staircase effect alleviation by coupling gradient fidelity term
Image and Vision Computing
Properties of Higher Order Nonlinear Diffusion Filtering
Journal of Mathematical Imaging and Vision
Ramp preserving Perona-Malik model
Signal Processing
Automated Filter Parameter Selection Using Measures of Noiseness
CRV '10 Proceedings of the 2010 Canadian Conference on Computer and Robot Vision
Anisotropic diffusion for noise removal of band pass signals
Signal Processing
An Anisotropic Fourth-Order Diffusion Filter for Image Noise Removal
International Journal of Computer Vision
Behavioral analysis of anisotropic diffusion in image processing
IEEE Transactions on Image Processing
A general framework for low level vision
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Fourth-order partial differential equations for noise removal
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
The staircasing effect in neighborhood filters and its solution
IEEE Transactions on Image Processing
Hessian-Based Norm Regularization for Image Restoration With Biomedical Applications
IEEE Transactions on Image Processing
Adaptive Perona–Malik Model Based on the Variable Exponent for Image Denoising
IEEE Transactions on Image Processing
Computers & Mathematics with Applications
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The Perona-Malik (PM) model, or the anisotropic diffusion, shows good performance for image restoration. However, it suffers from the so-called staircasing effect if the contrast parameter is small and otherwise cannot preserve edges. This paper proposes a modified Perona-Malik (MPM) model based on directional Laplacian, which diffuses image along the edge direction of the original image. A slightly weighted Laplacian is also integrated to suppress noise. The proposed model can alleviate the staircasing effect, preserve sharp discontinuities, and remove noise simultaneously. Experimental results compared with several relevant methods demonstrate the good performance of the proposed algorithm.