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Research Article Open access CC BY 4.0

Fuzzy Rule Based Salt and Pepper Noise Removing in Gray Images

Nadeem Salamat, Malik Muhammad Saad Missen

Journal of Advances in Mathematics and Computer Science · pp. 53–67 · Published 17 Dec 2014

10.9734/BJMCS/2015/14233

Abstract

This paper presents the application of the diffusion equation for removing the salt & pepper noise in the field of image processing along with the fuzzy logic. The fuzzy logic differentiates the noisy pixels, especially the salt & pepper noise and the edges, then diffusion equation is applied to only noisy pixels and the diffusivity is proportional to the noise. The proposed method is applied to many test images. The simulated results demonstrate the effectiveness of the method based on statistical measures such as Mean Square Error (MSE) and Peak Signal Noise Ratio (PSNR) and Structure Similarity Index Measure (SSIM).

The diffusion equation salt & pepper noise image denoising fuzzy logic.

References (22)

  1. 1 Fuzzy sets
  2. 2 Scale-space and edge detection using anisotropic diffusion [DOI]
  3. 3 Application of Fuzzy Logic to Approximate Reasoning Using Linguistic Synthesis [DOI]
  4. 4 Removal of High Density Salt and Pepper Noise Through Modified Decision Based Unsymmetric Trimmed Median Filter [DOI]
  5. 5 Noise reduction by fuzzy image filtering [DOI]
  6. 6 An efficient detail-preserving approach for removing impulse noise in images [DOI]
  7. 7 Field Computations in Engineering and Physics. [DOI]
  8. 8 Image structure preserving denoising using generalized fractional time integrals [DOI]
  9. 9 Improved decision-based detail-preserving variational method for removal of random-valued impulse noise [DOI]
  10. 10 Adaptive Fuzzy Median Filter for Images Corrupted by Impulse Noise [DOI]
  11. 11 Digital Removal of Random Media Image Degradations by Solving the Diffusion Equation Backwards in Time [DOI]
  12. 12 An efficient method for impulse noise reduction from images using fuzzy cellular automata [DOI]
  13. 13 Decision-based fuzzy image restoration for noise reduction based on evidence theory [DOI]
  14. 14 Impulse noise detection and reduction using fuzzy logic and median heuristic filter [DOI]
  15. 15 Fixed-value impulse noise suppression for images using PDE based Adaptive Two-Stage Median Filter [DOI]
  16. 16 Field computations in engineering and physics [DOI]
  17. 17 Notes on “On the restudy of fuzzy complex analysis: Part I and Part II” [DOI]
  18. 18 Image Denoising Using Adaptive Neuro-Fuzzy system
  19. 19 Nearness derivatives and fuzzy differentiability [DOI]
  20. 20 Bayesian image denoising using two complementary discontinuity measures [DOI]
  21. 21 Fast and efficient Gaussian noise image restoration algorithm by spatially adaptive filtering [DOI]
  22. 22 Nonlinear Filter Based Image Denoising Using AMF Approach [DOI]

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