Wavelet based de-noising using logarithmic shrinkage function

Noise in signals and images can be removed through different de-noising techniques such as mean filtering, median filtering, total variation and filtered variation techniques etc. Wavelet based de-noising is one of the major techniques used for noise removal. In the first part of our work, wavelet t...

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Main Authors: Ullah, Hayat, Amir, Muhammad, Ul Haq, Ihsan, Khan, Shafqat Ullah, Rahim, M. K. A., Khan, Khan Bahadar
Format: Article
Published: Springer New York LLC 2018
Subjects:
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author Ullah, Hayat
Amir, Muhammad
Ul Haq, Ihsan
Khan, Shafqat Ullah
Rahim, M. K. A.
Khan, Khan Bahadar
author_facet Ullah, Hayat
Amir, Muhammad
Ul Haq, Ihsan
Khan, Shafqat Ullah
Rahim, M. K. A.
Khan, Khan Bahadar
author_sort Ullah, Hayat
collection ePrints
description Noise in signals and images can be removed through different de-noising techniques such as mean filtering, median filtering, total variation and filtered variation techniques etc. Wavelet based de-noising is one of the major techniques used for noise removal. In the first part of our work, wavelet transform based logarithmic shrinkage technique is used for de-noising of images, corrupted by noise (during under-sampling in the frequency domain). The logarithmic shrinkage technique is applied to under-sampled Shepp–Logan Phantom image. Experimental results show that the logarithmic shrinkage technique is 7–10% better in PSNR values than the existing classical techniques. In the second part of our work we de-noise the noisy, under-sampled phantom image, having salt and pepper, Gaussian, speckle and Poisson noises through the four thresholding techniques and compute their correlations with the original image. They give the correlation values close to the noisy image. By applying median or wiener filter in parallel with the thresholding techniques, we get 30–35% better results than only applying the thresholding techniques individually. So, in the second part we recover and de-noise the sparse under-sampled images by the combination of shrinkage functions and median filtering or wiener filtering.
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spelling utm.eprints-867002020-09-30T09:04:47Z http://eprints.utm.my/86700/ Wavelet based de-noising using logarithmic shrinkage function Ullah, Hayat Amir, Muhammad Ul Haq, Ihsan Khan, Shafqat Ullah Rahim, M. K. A. Khan, Khan Bahadar TK Electrical engineering. Electronics Nuclear engineering Noise in signals and images can be removed through different de-noising techniques such as mean filtering, median filtering, total variation and filtered variation techniques etc. Wavelet based de-noising is one of the major techniques used for noise removal. In the first part of our work, wavelet transform based logarithmic shrinkage technique is used for de-noising of images, corrupted by noise (during under-sampling in the frequency domain). The logarithmic shrinkage technique is applied to under-sampled Shepp–Logan Phantom image. Experimental results show that the logarithmic shrinkage technique is 7–10% better in PSNR values than the existing classical techniques. In the second part of our work we de-noise the noisy, under-sampled phantom image, having salt and pepper, Gaussian, speckle and Poisson noises through the four thresholding techniques and compute their correlations with the original image. They give the correlation values close to the noisy image. By applying median or wiener filter in parallel with the thresholding techniques, we get 30–35% better results than only applying the thresholding techniques individually. So, in the second part we recover and de-noise the sparse under-sampled images by the combination of shrinkage functions and median filtering or wiener filtering. Springer New York LLC 2018 Article PeerReviewed Ullah, Hayat and Amir, Muhammad and Ul Haq, Ihsan and Khan, Shafqat Ullah and Rahim, M. K. A. and Khan, Khan Bahadar (2018) Wavelet based de-noising using logarithmic shrinkage function. Wireless Personal Communications, 98 (1). pp. 1473-1488. ISSN 0929-6212 http://dx.doi.org/10.1007/s11277-017-4927-3
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Ullah, Hayat
Amir, Muhammad
Ul Haq, Ihsan
Khan, Shafqat Ullah
Rahim, M. K. A.
Khan, Khan Bahadar
Wavelet based de-noising using logarithmic shrinkage function
title Wavelet based de-noising using logarithmic shrinkage function
title_full Wavelet based de-noising using logarithmic shrinkage function
title_fullStr Wavelet based de-noising using logarithmic shrinkage function
title_full_unstemmed Wavelet based de-noising using logarithmic shrinkage function
title_short Wavelet based de-noising using logarithmic shrinkage function
title_sort wavelet based de noising using logarithmic shrinkage function
topic TK Electrical engineering. Electronics Nuclear engineering
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AT ulhaqihsan waveletbaseddenoisingusinglogarithmicshrinkagefunction
AT khanshafqatullah waveletbaseddenoisingusinglogarithmicshrinkagefunction
AT rahimmka waveletbaseddenoisingusinglogarithmicshrinkagefunction
AT khankhanbahadar waveletbaseddenoisingusinglogarithmicshrinkagefunction