This paper discusses the application of complex wavelet transform (CWT) which has significant advantages over real wavelet transform. CWT is a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. In this paper we implement Selesnick’s idea of dual tree complex wavelet transform where it can be ...

Tensor product real-valued wavelets have been employed in many applications such as image processing with impressive performance. Though edge singularities are ubiquitous and play a fundamental role in image processing and many other two-dimensional problems, tensor product real-valued wavelets are known to be only sub-optimal since they can only capture edges well along the coordinate axis dir...

Deblurring in the presence of noise is a hard problem, especially in Ultrasound and CT images. In this paper, we propose a hybrid approach of wavelet-based image deconvolution that incorporates Fourier-domain system inversion followed by wavelet-domain noise suppression. In contrast to conventional wavelet-based deconvolution methods, the algorithm employs a regularized inverse filter to operat...

The current study investigates the connectedness between US COVID-19 news, Dowes Jones Index (DJI), green bonds, gold, and bitcoin prices for period 22 January 2020–3 August 2021. has employed wavelet coherency, continuous transform, wavelet-based Granger causality methods to obtain dependence result. transform (CWT) analysis reveals that United States equity market are extremely sensitive with...

-Ventricular Late Potentials (VLPs) are low-amplitude, high-frequency signals which appear at the end part of the QRS complex of a High-Resolution ECG (HRECG) record including three orthogonal (XYZ) leads. VLPs are clinically useful in identifying post-MI (Myocardial Infarction) patients prone to Ventricular Tachycardia (VT) and Sudden Cardiac Death (SCD). The Continuous Wavelet Transform (CWT)...

Resolution enhancement (RE) schemes which are not based on wavelets has one of the major drawbacks of losing high frequency contents which results in blurring. The discrete wavelettransform-based (DWT) Resolution Enhancement scheme generates artifacts (due to a DWT shift-variant property). A wavelet-Domain approach based on dual-tree complex wavelet transform (DT-CWT) & nonlocal means (NLM) is ...

In a complex field environment for modern mechanical equipment, how to identify all kinds of operational status of the rolling element bearings fastly and accurately is very important and necessary. A novel approach to automated diagnosis is introduced, which is based on feature extraction with the Dual-Tree Complex Wavelet Transform (DT-CWT), then attribute reduction with rough set theory and ...

This paper proposes the use of a modified Morlet wavelet in order to demodulate fringe patterns in conjunction with the one-dimensional continuous wavelet transform (1D-CWT). Our investigations demonstrate that the modified Morlet wavelet produces better results compared to the conventional Morlet wavelet when used in fringe pattern analysis. This novel technique offers superior performance in ...

T2* and quantitative susceptibility mapping (QSM) of magnetic resonance imaging (MRI) images provide different type inner structure information of scanned organs. If they can be properly fused into one set, the details of the scaned organ can be revealed more clearly. In this paper, a 3D MRI image fusion method based on 3D compactly supported shearlet transform (3D-CSST) and 3D dual tree compac...

Spread Transform (ST) is a quantization watermarking algorithm in which vectors of the wavelet coefficients of a host work are quantized, using one of two dithered quantizers, to embed hidden information bits; Loo [1] had some success in applying such a scheme to still images. We extend ST to the video watermarking problem. Visibility considerations require that each spreading vector refer to c...