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Wavelet Thresholding Algorithms for Image Denoising


Affiliations
1 Department of Computer Science and Engineering, Manav Rachna University Faridabad, India
2 Department of Electronics and Communication Engineering, MANAV Rachna University, Faridabad, India
 

This paper talks about the wavelet thresholding algorithm for image denoising. Any data, either in the form of signals, or images contains more noise than informations. To make sense out of it, it needs denoising. For that, this paper explains algorithm that makes active use of wavelet thresholding to achieve maximum denoising. For statistical analysis matlab software is used as it comes with wavelet thresholding application. This is then used to process standard lenna image to obtain haar wavelet transform for three levels of decomposition of image. On the contrary daubechies wavelet transform is also applied to the same sample image of lenna. Using Haar Wavelet for image compression has a little bifurcation in Retained Energy and Number of Zeros along x axis. On the other hand Daubechies Wavelet compression with global thresholding on decomposition level 4 for standard image of lenna yields different trend lines between Retained Energy and Number of Zeros. Its applications vastly covers all medias such as image, video, signals, etc. to achieve maximum information. With advances in image denoising, space can be utilized more appropriately as user can be able to save space in his personal devices like mobile phones, laptops, etc. With this user can be able to use or access that free space in order to upload more data, or use it for his computational use.
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  • Donoho DL. De-noising by soft-thresholding. IEEE Transactions on Information Theory. 1995; 41(3):613–27. Crossref.
  • Donoho DL and Johnstone IM. Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association. 1995; 90(432):1200–24. Crossref.
  • Chang SG, Yu B and Vetterli M. Adaptive wavelet thresholding for image denoising and compression. IEEE Transactions on Image Processing. 2000; 9(9):1532–46. Crossref. Crossref. Crossref. PMid:18262991
  • Rangarajan R, Venkataramanan R & Shah S. Image denoising using wavelets. Wavelet and Time Frequencies. 2002.
  • Taswell C. The what, how, and why of wavelet shrinkage denoising. Computing in Science & Engineering. 2000; 2(3):12–9. Crossref.
  • Chan TF, Kang SH and Shen J. Total variation denoising and enhancement of color images based on the CB and HSV color models. Journal of Visual Communication and Image Representation. 2001; 12(4):422–35. Crossref.
  • Daubechies I. Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics. 1988; 41(7):909–96. Crossref.
  • Nason GP. Wavelet shrinkage using cross-validation. Journal of the Royal Statistical Society, Series B (Methodological). 1996; p. 463–79.
  • Donoho DL and Johnstone IM. Threshold selection for wavelet shrinkage of noisy data. Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE. 1994 November; 1:A24–25. Crossref.
  • Nunez J, Otazu X, Fors O, Prades A, Pala V and Arbiol R. Multiresolution-based image fusion with additive wavelet decomposition. IEEE Transactions on Geoscience and Remote Sensing. 1999; 37(3):1204–11. Crossref.
  • Sezgin M and Sankur B. Survey over image thresholding techniques and quantitative performance evaluation. Journal of Electronic Imaging. 2004; 13(1):146–66. Crossref.
  • Haralick RM and Shapiro LG. Image segmentation techniques. Computer Vision, Graphics, and Image Processing. 1985; 29(1):100–32. Crossref.
  • Bentler R and Chiou LK. Digital noise reduction: An overview. Trends in Amplification. 2006; 10(2):67–82. Crossref.
  • Bhaskaran V and Konstantinides K. Image and video compression standards: algorithms and architectures. Springer Science & Business Media. 1997; 408. Crossref.
  • Sanka M, Hlavac V and Boyle R. Image processing, analysis and machine vision. Brooks. 1999.

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  • Wavelet Thresholding Algorithms for Image Denoising

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Authors

Aditya Rana
Department of Computer Science and Engineering, Manav Rachna University Faridabad, India
Charu Pathak
Department of Electronics and Communication Engineering, MANAV Rachna University, Faridabad, India

Abstract


This paper talks about the wavelet thresholding algorithm for image denoising. Any data, either in the form of signals, or images contains more noise than informations. To make sense out of it, it needs denoising. For that, this paper explains algorithm that makes active use of wavelet thresholding to achieve maximum denoising. For statistical analysis matlab software is used as it comes with wavelet thresholding application. This is then used to process standard lenna image to obtain haar wavelet transform for three levels of decomposition of image. On the contrary daubechies wavelet transform is also applied to the same sample image of lenna. Using Haar Wavelet for image compression has a little bifurcation in Retained Energy and Number of Zeros along x axis. On the other hand Daubechies Wavelet compression with global thresholding on decomposition level 4 for standard image of lenna yields different trend lines between Retained Energy and Number of Zeros. Its applications vastly covers all medias such as image, video, signals, etc. to achieve maximum information. With advances in image denoising, space can be utilized more appropriately as user can be able to save space in his personal devices like mobile phones, laptops, etc. With this user can be able to use or access that free space in order to upload more data, or use it for his computational use.

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DOI: https://doi.org/10.17485/ijst%2F2018%2Fv11i27%2F130706