Fourth-order partial differential equations for image enhancement

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Yi, Dokkyun, and Sungyun Lee. “Fourth-Order Partial Differential Equations for Image Enhancement”. Applied Mathematics and Computation, vol. 175, no. 1, 2006, pp. 430-4, https://doi.org/10.1016/j.amc.2005.07.043.
Yi, D., & Lee, S. (2006). Fourth-order partial differential equations for image enhancement. Applied Mathematics and Computation, 175(1), 430-440. https://doi.org/10.1016/j.amc.2005.07.043
Yi D, Lee S. Fourth-order partial differential equations for image enhancement. Applied Mathematics and Computation. 2006;175(1):430-4.
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Behavioral analysis of anisotropic diffusion in image processing IEEE Transactions on Image Processing
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Citations
Title Journal Journal Categories Citations Publication Date
A Nonlinear Hybrid Diffusion Model for Image Denoising

 Macromolecular Symposia 2023
Method of moments with a choice of special basic functions for fourth-order partial differential equations

 Journal of Physics: Conference Series 2021
Seismic Signal Filtering based on Pseudo Wigner-Ville Distribution and Catte Model

 Journal of Physics: Conference Series 2021
A Hybrid Image Denoising Method Based on Integer and Fractional-Order Total Variation Iranian Journal of Science and Technology, Transactions A: Science
  • Science: Science (General)
 15 2020
A high order PDE-constrained optimization for the image denoising problem Inverse Problems in Science and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
 16 2020
Citations Analysis
Category Category Repetition
Science: Mathematics5
Technology: Engineering (General). Civil engineering (General)4
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
Technology: Mechanical engineering and machinery1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Medicine: Medicine (General): Medical technology1
Medicine: Medicine (General): Medical physics. Medical radiology. Nuclear medicine1
Medicine: Medicine (General)1
Science: Science (General)1
The category Science: Mathematics 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Noise reduction and edge detection via kernel anisotropic diffusion and was published in 2008. The most recent citation comes from a 2023 study titled A Nonlinear Hybrid Diffusion Model for Image Denoising. This article reached its peak citation in 2021, with 2 citations. It has been cited in 10 different journals, 10% of which are open access. Among related journals, the Journal of Physics: Conference Series 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