Analysis of Lifting Scheme based Double Density Dual-Tree Complex Wavelet Transform for De-noising Medical Images

Optik ◽  
2021 ◽  
pp. 166883
Author(s):  
H. Heartlin Maria ◽  
A. Maria Jossy ◽  
G. Malarvizhi ◽  
A. Jenitta
Keyword(s):  
Wavelet Transform ◽  
Medical Images ◽  
Lifting Scheme ◽  
Complex Wavelet Transform ◽  
Complex Wavelet

DAUBECHIES COMPLEX WAVELET TRANSFORM BASED TECHNIQUE FOR DENOISING OF MEDICAL IMAGES

2007 ◽  
Vol 07 (04) ◽  
pp. 663-687 ◽  
Author(s):  
ASHISH KHARE ◽  
UMA SHANKER TIWARY
Keyword(s):  
Wavelet Transform ◽  
Image Denoising ◽  
Medical Image ◽  
Medical Images ◽  
Universal Method ◽  
Complex Wavelet Transform ◽  
Shrinkage Function ◽  
Daubechies Complex Wavelet Transform ◽  
Complex Wavelet

Wavelet based denoising is an effective way to improve the quality of images. Various methods have been proposed for denoising using real-valued wavelet transform. Complex valued wavelets exist but are rarely used. The complex wavelet transform provides phase information and it is shift invariant in nature. In medical image denoising, both removal of phase incoherency as well as maintaining the phase coherency are needed. This paper is an attempt to explore and apply the complex Daubechies wavelet transform for medical image denoising. We have proposed a method to compute a complex threshold, which does not depend on any assumed model of noise. In this sense this is a "universal" method. The proposed complex-domain shrinkage function depends on mean, variance and median of wavelet coefficients. To test the effectiveness of the proposed method, we have computed the input and output SNR and PSNR of various types of medical images. The method gives an improvement for Gaussian additive, Speckle and Salt-&-Pepper noise as well as for the mixture of these noise types for a range of noisy images with 15 db to 30 db noise levels and outperforms other real-valued wavelet transform based methods. The application of the proposed method to Ultrasound, X-ray and MRI images is demonstrated in the experiments.

scholarly journals Denoising of Medical Images Using Dual Tree Complex Wavelet Transform

2012 ◽  
Vol 4 ◽  
pp. 238-244 ◽  
Author(s):  
V. Naga Prudhvi Raj ◽  
T. Venkateswarlu
Keyword(s):  
Wavelet Transform ◽  
Medical Images ◽  
Complex Wavelet Transform ◽  
Complex Wavelet

scholarly journals A novel image fusion algorithm based on 2D scale-mixing complex wavelet transform and Bayesian MAP estimation for multimodal medical images

2017 ◽  
Vol 10 (03) ◽  
pp. 1750001 ◽  
Author(s):  
Abdallah Bengueddoudj ◽  
Zoubeida Messali ◽  
Volodymyr Mosorov
Keyword(s):  
Wavelet Transform ◽  
Image Fusion ◽  
Medical Images ◽  
Principal Component ◽  
Fusion Rule ◽  
Complex Wavelet Transform ◽  
Fusion Algorithm ◽  
Fusion Methods ◽  
Complex Wavelet ◽  
Approximation Coefficients

In this paper, we propose a new image fusion algorithm based on two-dimensional Scale-Mixing Complex Wavelet Transform (2D-SMCWT). The fusion of the detail 2D-SMCWT coefficients is performed via a Bayesian Maximum a Posteriori (MAP) approach by considering a trivariate statistical model for the local neighboring of 2D-SMCWT coefficients. For the approximation coefficients, a new fusion rule based on the Principal Component Analysis (PCA) is applied. We conduct several experiments using three different groups of multimodal medical images to evaluate the performance of the proposed method. The obtained results prove the superiority of the proposed method over the state of the art fusion methods in terms of visual quality and several commonly used metrics. Robustness of the proposed method is further tested against different types of noise. The plots of fusion metrics establish the accuracy of the proposed fusion method.

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