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. II
SIAM Journal on Numerical Analysis
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Nonlinear Image Filtering with Edge and Corner Enhancement
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIAM Journal on Applied Mathematics
Generalized gradient vector flow external forces for active contours
Signal Processing - Special issue on deformable models and techniques for image and signal processing
SIAM Review
Smoothing and edge detection by time-varying coupled nonlinear diffusion equations
Computer Vision and Image Understanding
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
Selection of Optimal Stopping Time for Nonlinear Diffusion Filtering
International Journal of Computer Vision
A Review of Nonlinear Diffusion Filtering
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
A Common Framework for Curve Evolution, Segmentation and Anisotropic Diffusion
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
A Coupled PDE Model of Nonlinear Diffusion for Image Smoothing and Segmentation
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Nonlinear image processing: modeling and fast algorithm for regularization with edge detection
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol. 1)-Volume 1 - Volume 1
Behavioral analysis of anisotropic diffusion in image processing
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Variational approach for edge-preserving regularization using coupled PDEs
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Adaptive total variation denoising based on difference curvature
Image and Vision Computing
Ramp preserving Perona-Malik model
Signal Processing
Homogeneity similarity based image denoising
Pattern Recognition
Anisotropic diffusion for noise removal of band pass signals
Signal Processing
Computers & Mathematics with Applications
On a System of Adaptive Coupled PDEs for Image Restoration
Journal of Mathematical Imaging and Vision
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In this paper, we present a novel approach for image selective smoothing by the evolution of two coupled nonlinear partial differential equations. The diffusion coefficient in de-noising equation controls the speed of diffusion, and is determined by the edge-strength function. In the previous works, the edge-strength function depends on isotropic smoothing of the image, which results in failing to preserve corners and junctions, and may also result in failing to resolve small features that are closely grouped together. The presented approach obtains the edge-strength function by solving a nonlinear diffusion equation governed by the norm of the image gradient. This edge-strength function is then introduced into a well-studied anisotropic diffusion model to yield a regularized diffusion coefficient for image smoothing. An explicit numerical scheme is employed to efficiently solve these two coupled equations. Compared with the existing methods, the presented approach has the advantages of more detail preservation and implementational simplicity. Experimental results on the synthesis and real images confirm the validity of the proposed approach.