Wavelet transform based image enhancement: A noise reduction approach

Koteswararao Mallaparapu, Kota Venkata Ramarao

Article ID: 2321
Vol 1, Issue 1, 2023
DOI: https://doi.org/10.54517/cte.v1i1.2321
Received: 27 September 2023; Accepted: 26 October 2023; Available online: 7 November 2023;
Issue release: 30 December 2023

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Abstract

This paper introduces a new thresholding function that mixes the soft thresholding functions and Smoothly Clipped Absolute Deviation (SCAD) for denoising images using the decimated wavelet transform technique, which is widely popular in various applications. The proposed method is applied to denoise noisy images contaminated with additive white Gaussian noise, employing the Top rule. The efficiency of this new thresholding function is also evaluated within the context of the Translation Invariant method. The results are compared with existing methods such as SCAD, soft thresholding, and the Wiener filter-based denoising approach. Parameters such as Root Mean Square Error (RMSE) and Peak Signal Noise Ratio (PSNR) are employed to assess the quality of denoising.

Keywords

WT; DWT; image denoising; new thresholding function; top rule; wiener filter; translation invariant method


References

1. Donoho DL. De-noising by soft-thresholding. IEEE Transactions on Information Theory 1995; 41(3): 613–627. doi: 10.1109/18.382009

2. Kaur M, Sharma K, Dhillon N. Image denoising using wavelet threholding. International Journal of Engineering and Computer Science 2013; 2(10): 2932–2935.

3. Jangra S, Rajotiya RN. An improved threshold value for image denoising using wavelet transforms. International Journal of Engineering Research and Applications 2013; 3(6): 1893–1897.

4. Ayesha S, Lingeswara Rao MVR, Mallaparapu K. Wavelet transform based estimation of images using different thresholding techniques. International Journal of Computer Applications 2017; 167(8): 20–24. doi: 10.5120/ijca2017914351

5. Rai RK, Sontakke TR. Implementation of image denoising using thresholding techniques. International Journal of Computer Technology and Electronics Engineering 2011; 1(2): 6–10.

6. Mallaparapu KR, Ramarao KV, Masthan S. Wavelet transform based estimation of 1 dimensional signal. International Journal of Innovative Technology and Exploring Engineering (IJITEE) 2020; 9(4): 1264–1267. doi: 10.35940/ijitee.D9063.029420

7. Prasad VVKDV. A new wavelet packet based method for denoising of biological signals. International Journal of Research in Computer and Communication Technology 2013; 2(10): 1056–1062.

8. Bijalwan A, Goyal A, Sethi N. Wavelet transform based image denoise using threshold approaches. International Journal of Engineering and Advanced Technology (IJEAT) 2012; 1(5): 218–221.

9. Koteswararao M, Prasad VVKDV. Decimated and undecimated wavelet transforms based estimation of images. International Journal of Innovative Research in Science, Engineering and Technology 2014; 3(10): 16981–16988. doi: 10.15680/IJIRSET.2014.0310080

10. Mallaparapu K, Krishna BA, Masthan S, Susmitha CD. Analysis of denoising on different signals using new thresholding function. In: Proceedings of the 2018 Conference on Signal Processing and Communication Engineering Systems (SPACES); 4–5 January 2018; Vijayawada, India. pp. 154–162.

11. Brar R, Kumar R. Image denoising using wavelet thresholding hybrid approach. In: Proceedings of SARC-IRAJ International Conference; 22 June 2013; New Delhi, India. pp. 42–45.

12. Kumar V, Kumar DA. Simulative analysis of image denoising using wavelet thresholding technique. International Journal of Advanced Research in Computer Engineering & Technology 2013; 2(5).

13. Prasad VVKDV, Siddaiah P, Rao BP. Denoising of biological signals using different wavelet based methods and their comparison. Asian Journal of Information Technology 2008; 7: 146–149.

14. Donoho DL, Johnstone IM. Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association 1995; 90(432): 1200–1224. doi: 10.1080/01621459.1995.10476626

15. Prasad VVKDV, Siddaiah P, Rao BP. Denoising of biological signals using a new wavelet shrinkage method. In: Proceedings of the 2008 IEEE Region 10 and the Third international Conference on Industrial and Information Systems; 8–10 December 2008; Kharagpur, India. pp. 1–5.

16. Agante PM, de Sá JMP. ECG noise filtering using wavelets with soft-thresholding methods. In: Proceedings of the Computers in Cardiology 1999. 26–29 September 1999; Hannover, Germany. pp. 535–538. doi: 10.1109/CIC.1999.826026

17. Jansen M. Noise Reduction by Wavelet Thresholding. Springer; 2001.

18. Fodor IK, Kamath C. Denoising through wavelet shrinkage: An empirical study. Journal of Electronic Imaging 2003; 12(1): 151–160. doi: 10.1117/1.1525793

19. Chang KM, Liu SH. Gaussian noise filtering from ECG by Wiener filter and ensemble empirical mode decomposition. Journal of Signal Processing Systems 2011; 64: 249–264. doi: 10.1007/s11265-009-0447-z

20. Gao Q, Li H, Zhuang Z, Wang T. De-noising of ECG signal based on stationary wavelet transform. Acta Electronica Sinica 2003; 31(2): 238–240.

21. Misiti M, Misisti Y, Oppenheim G, Poggi JM. Wavelet Toolbox User’s Guide: For Use with MATLAB. The MathWorks Inc; 1996.

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