A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
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Digital Image Processing
An Optimal Wavelet Filter for Despeckling Echocardiographic Images
ICCIMA '07 Proceedings of the International Conference on Computational Intelligence and Multimedia Applications (ICCIMA 2007) - Volume 03
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
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Pattern Recognition and Image Analysis
De-noising by soft-thresholding
IEEE Transactions on Information Theory
Adaptive wavelet thresholding for image denoising and compression
IEEE Transactions on Image Processing
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Ultrasonography has been considered as one of the most powerful techniques for imaging organs and soft tissue structures in the human body. The main disadvantage of medical ultrasonography is the poor quality of images, which are affected by multiplicative speckle noise. In this paper, we present a novel method for despeckling medical ultrasound images. The primary goal of speckle reduction is to remove the speckle without losing much detail contained in an image. To achieve this goal, we make use of the wavelet transform and apply multi-resolution analysis to localize an image into different frequency components or useful subbands and then effectively reduce the speckle in the subbands according to the local statistics within the bands. The main advantage of the wavelet transform is that the image fidelity after reconstruction is visually lossless. The objective of the paper is to investigate the proper selection of wavelet filters and thresholding schemes which yields optimal visual enhancement of ultrasound images, in particular. We employ the wavelet shrinkage denoising techniques with different wavelet bases and decomposition levels on the individual subbands to achieve the best acceptable speckle reduction while maintaining the fidelity of the image and also examine the effects of different thresholding techniques as well as shrinkage rules for denoising ultrasound images. The proposed method consists of the log transformed original ultrasound image being subjected to wavelet transform, which is then denoised by a thresholding technique using a shrinkage rule. Experimental results show that the subband decomposition of ultrasound images, using Bior6.8 and level 3 with soft thresholding based on Bayes shrinkage rule, performs better than other techniques. The performance is measured in terms of Variance, Mean Square Error (MSE), Signal-to-Noise Ratio (SNR), Peak SNR (PSNR) and Correlation Coefficient (CC). The results of wavelet shrinkage techniques are compared with common speckle filters. We observe that the proposed method achieves better visual enhancement of ultrasound images which would lead to more accurate image analysis by the medical experts.