Journal ArticleDOI
A hybrid convex variational model for image restoration
TLDR
A new hybrid model for variational image restoration is proposed using an alternative diffusion switching non-quadratic function with a parameter chosen adaptively so as to minimize the smoothing near the edges and allow the diffusion to smooth away from the edges.About:
This article is published in Applied Mathematics and Computation.The article was published on 2010-01-01. It has received 33 citations till now. The article focuses on the topics: Image restoration & Energy functional.read more
Citations
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Journal ArticleDOI
A Review on CT and X-Ray Images Denoising Methods
TL;DR: The goal of this paper is to provide an apt choice of denoising method that suits to CT and X-ray images and to provide a review of the following important Poisson removal methods.
Journal ArticleDOI
Weighted and well-balanced anisotropic diffusion scheme for image denoising and restoration
TL;DR: In this paper, a class of weighted anisotropic diffusion partial differential equations (PDEs) is considered and a well-balanced flow version of the proposed scheme is considered which adds an adaptive fidelity term to the usual diffusion term.
Proceedings ArticleDOI
On Selecting the Appropriate Scale in Image Selective Smoothing by Nonlinear Diffusion
TL;DR: This work provides an appropriate scale selection approach that obtains improved selective smoothing with nonlinear diffusion and improves the quality of final denoised images in terms of higher peak signal to noise ratio and structural similarity.
Journal ArticleDOI
A well-posed multiscale regularization scheme for digital image denoising
TL;DR: The well-posedness of the corresponding minimization problem is proved in the space of functions of bounded variation and the proposed adaptive weight based scheme provides a better multiscale edge map, which in turn produces better restoration.
Journal ArticleDOI
A Hybrid Model for Image Denoising Combining Modified Isotropic Diffusion Model and Modified Perona-Malik Model
TL;DR: A new noise-removal model by combining the modified isotropic diffusion model and the modified Perona–Malik model is developed, able to efficiently preserve the edges, textures, thin lines, weak edges, and fine details, meanwhile preventing the staircase effects.
References
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Journal ArticleDOI
Nonlinear total variation based noise removal algorithms
TL;DR: In this article, a constrained optimization type of numerical algorithm for removing noise from images is presented, where the total variation of the image is minimized subject to constraints involving the statistics of the noise.
Journal ArticleDOI
Scale-space and edge detection using anisotropic diffusion
Pietro Perona,Jitendra Malik +1 more
TL;DR: A new definition of scale-space is suggested, and a class of algorithms used to realize a diffusion process is introduced, chosen to vary spatially in such a way as to encourage intra Region smoothing rather than interregion smoothing.