A new nonlocal nonlinear diffusion of image processing

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Cite
Guidotti, Patrick. “A New Nonlocal Nonlinear Diffusion of Image Processing”. Journal of Differential Equations, vol. 246, no. 12, 2009, pp. 4731-42, https://doi.org/10.1016/j.jde.2009.03.017.
Guidotti, P. (2009). A new nonlocal nonlinear diffusion of image processing. Journal of Differential Equations, 246(12), 4731-4742. https://doi.org/10.1016/j.jde.2009.03.017
Guidotti, Patrick. “A New Nonlocal Nonlinear Diffusion of Image Processing”. Journal of Differential Equations 246, no. 12 (2009): 4731-42. https://doi.org/10.1016/j.jde.2009.03.017.
Guidotti P. A new nonlocal nonlinear diffusion of image processing. Journal of Differential Equations. 2009;246(12):4731-42.
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Science
Mathematics
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Refrences Analysis
Category Category Repetition
Science: Mathematics18
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods14
Science: Mathematics: Instruments and machines: Electronic computers. Computer science8
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics6
Technology: Mechanical engineering and machinery4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks4
Technology: Engineering (General). Civil engineering (General)4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
The category Science: Mathematics 18 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Imaging and Vision and Mathematische Annalen. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Monotonicity Properties of Limits of Solutions to the Semidiscrete Scheme for a Class of Perona–Malik Type Equations SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
A quantitative variational analysis of the staircasing phenomenon for a second order regularization of the Perona-Malik functional

 Transactions of the American Mathematical Society
  • Science: Mathematics
 1 2023
A Non-Local Diffusion Equation for Noise Removal Acta Mathematica Scientia
  • Science: Mathematics
 2022
Texture image classification based on a pseudo-parabolic diffusion model Multimedia Tools and Applications
  • Science: Science (General): Cybernetics: Information theory
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
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  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
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  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
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 5 2022
A denoising model based on the fractional Beltrami regularization and its numerical solution Journal of Applied Mathematics and Computing
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Citations Analysis
Category Category Repetition
Science: Mathematics17
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods14
Science: Mathematics: Instruments and machines: Electronic computers. Computer science8
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software5
Technology: Mechanical engineering and machinery5
Science: Physics4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks3
Technology: Photography3
Medicine: Medicine (General): Medical technology3
Technology: Engineering (General). Civil engineering (General)2
Technology: Chemical technology: Biotechnology2
Science: Geology1
Geography. Anthropology. Recreation: Geography (General)1
Science: Science (General): Cybernetics: Information theory1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
The category Science: Mathematics 17 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Image Sharpening via Sobolev Gradient Flows and was published in 2010. The most recent citation comes from a 2024 study titled Monotonicity Properties of Limits of Solutions to the Semidiscrete Scheme for a Class of Perona–Malik Type Equations. This article reached its peak citation in 2012, with 5 citations. It has been cited in 22 different journals, 4% of which are open access. Among related journals, the SIAM Journal on Mathematical Analysis cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year