Image Selective Smoothing and Edge Detection by Nonlinear Diffusion

Article Properties
Cite
Catté, Francine, et al. “Image Selective Smoothing and Edge Detection by Nonlinear Diffusion”. SIAM Journal on Numerical Analysis, vol. 29, no. 1, 1992, pp. 182-93, https://doi.org/10.1137/0729012.
Catté, F., Lions, P.-L., Morel, J.-M., & Coll, T. (1992). Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. SIAM Journal on Numerical Analysis, 29(1), 182-193. https://doi.org/10.1137/0729012
Catté F, Lions PL, Morel JM, Coll T. Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. SIAM Journal on Numerical Analysis. 1992;29(1):182-93.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Title 1988
Title 1990
Analyse Fonctionnelle, Théorie et Applications 1987
Vision 1982
Introduction à l'analyse numérique matricielle et à l'optimisation 1982
Citations
Title Journal Journal Categories Citations Publication Date
Anisotropic equation based on fractional diffusion tensor for image noise removal

 Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
An improved nonlinear anisotropic model with p(x)‐growth conditions applied to image restoration and enhancement

 Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2024
Optimal control problem with nonlinear fractional system constraint applied to image restoration

 Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Image trinarization using a partial differential equation: A novel approach to automatic sperm image analysis Applied Mathematical Modelling
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 2024
Fractional-order cross-diffusion system for multiplicative noise removal Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 2024
Citations Analysis
Category Category Repetition
Science: Mathematics: Instruments and machines: Electronic computers. Computer science262
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics241
Science: Mathematics238
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks218
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods206
Technology: Engineering (General). Civil engineering (General)198
Technology: Mechanical engineering and machinery111
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software110
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware60
Technology: Photography53
Medicine: Medicine (General): Medical technology47
Science: Physics46
Medicine: Medicine (General): Medical physics. Medical radiology. Nuclear medicine44
Science: Science (General): Cybernetics: Information theory42
Science: Physics: Optics. Light37
Medicine: Medicine (General)29
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials26
Technology: Chemical technology25
Science: Geology25
Science: Physics: Acoustics. Sound24
Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics23
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication23
Medicine: Medicine (General): Computer applications to medicine. Medical informatics16
Geography. Anthropology. Recreation: Geography (General)16
Science: Biology (General)14
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics12
Technology: Electrical engineering. Electronics. Nuclear engineering11
Science: Chemistry10
Science: Science (General)7
Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)7
Geography. Anthropology. Recreation: Environmental sciences6
Technology: Environmental technology. Sanitary engineering5
Science: Biology (General): Ecology5
Science: Chemistry: Organic chemistry: Biochemistry5
Technology: Technology (General): Industrial engineering. Management engineering: Information technology5
Science: Biology (General): Genetics4
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry4
Science4
Technology: Manufactures: Production management. Operations management4
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases4
Technology: Chemical technology: Biotechnology4
Science: Physics: Geophysics. Cosmic physics3
Technology: Technology (General): Industrial engineering. Management engineering3
Science: Chemistry: Physical and theoretical chemistry3
Technology: Electrical engineering. Electronics. Nuclear engineering: Nuclear engineering. Atomic power3
Science: Astronomy2
Technology: Engineering (General). Civil engineering (General): Environmental engineering2
Science: Chemistry: General. Including alchemy2
Technology: Mining engineering. Metallurgy2
Agriculture2
Agriculture: Agriculture (General)2
Technology: Ocean engineering2
Science: Physics: Atomic physics. Constitution and properties of matter2
Science: Mathematics: Analysis2
Technology: Chemical technology: Polymers and polymer manufacture1
Science: Chemistry: Analytical chemistry1
Science: Mathematics: Instruments and machines1
Science: Mathematics: Probabilities. Mathematical statistics1
Technology: Building construction: Architectural engineering. Structural engineering of buildings1
Science: Biology (General): Cytology1
Technology: Chemical technology: Food processing and manufacture1
Technology: Home economics: Nutrition. Foods and food supply1
Technology: Manufactures1
Technology: Chemical technology: Chemical engineering1
Agriculture: Plant culture1
Medicine: Internal medicine1
Naval Science1
Fine Arts: Drawing. Design. Illustration1
Science: Microbiology1
Technology: Technology (General)1
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade1
Medicine: Surgery1
The category Science: Mathematics: Instruments and machines: Electronic computers. Computer science 262 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II and was published in 1992. The most recent citation comes from a 2024 study titled Enhancing image denoising: A novel non-local anisotropic diffusion framework based on capito derivatives and Gaussian convolution for the Perona–Malik model. This article reached its peak citation in 2012, with 46 citations. It has been cited in 311 different journals, 13% of which are open access. Among related journals, the IEEE Transactions on Image Processing cited this research the most, with 52 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year