scispace - formally typeset
Search or ask a question
Topic

Complex wavelet transform

About: Complex wavelet transform is a research topic. Over the lifetime, 1880 publications have been published within this topic receiving 31860 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: Several methods for filter design are described for dual-tree CWT that demonstrates with relatively short filters, an effective invertible approximately analytic wavelet transform can indeed be implemented using the dual- tree approach.
Abstract: The paper discusses the theory behind the dual-tree transform, shows how complex wavelets with good properties can be designed, and illustrates a range of applications in signal and image processing The authors use the complex number symbol C in CWT to avoid confusion with the often-used acronym CWT for the (different) continuous wavelet transform The four fundamentals, intertwined shortcomings of wavelet transform and some solutions are also discussed Several methods for filter design are described for dual-tree CWT that demonstrates with relatively short filters, an effective invertible approximately analytic wavelet transform can indeed be implemented using the dual-tree approach

2,407 citations

Journal ArticleDOI
TL;DR: A universal statistical model for texture images in the context of an overcomplete complex wavelet transform is presented, demonstrating the necessity of subgroups of the parameter set by showing examples of texture synthesis that fail when those parameters are removed from the set.
Abstract: We present a universal statistical model for texture images in the context of an overcomplete complex wavelet transform. The model is parameterized by a set of statistics computed on pairs of coefficients corresponding to basis functions at adjacent spatial locations, orientations, and scales. We develop an efficient algorithm for synthesizing random images subject to these constraints, by iteratively projecting onto the set of images satisfying each constraint, and we use this to test the perceptual validity of the model. In particular, we demonstrate the necessity of subgroups of the parameter set by showing examples of texture synthesis that fail when those parameters are removed from the set. We also demonstrate the power of our model by successfully synthesizing examples drawn from a diverse collection of artificial and natural textures.

1,978 citations

Journal ArticleDOI
TL;DR: In this article, a dual tree of wavelet filters is proposed to obtain real and imaginary parts of the wavelet transform. And the dual tree can be extended for image and other multi-dimensional signals.

1,767 citations

Journal ArticleDOI
TL;DR: Current applications of wavelets in rotary machine fault diagnosis are summarized and some new research trends, including wavelet finite element method, dual-tree complex wavelet transform, wavelet function selection, newWavelet function design, and multi-wavelets that advance the development of wavelet-based fault diagnosed are discussed.

1,087 citations

Journal ArticleDOI
TL;DR: A general image fusion framework by combining MST and SR to simultaneously overcome the inherent defects of both the MST- and SR-based fusion methods is presented and experimental results demonstrate that the proposed fusion framework can obtain state-of-the-art performance.

952 citations


Network Information
Related Topics (5)
Feature extraction
111.8K papers, 2.1M citations
86% related
Image processing
229.9K papers, 3.5M citations
82% related
Deep learning
79.8K papers, 2.1M citations
81% related
Wireless sensor network
142K papers, 2.4M citations
79% related
Artificial neural network
207K papers, 4.5M citations
79% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202321
202266
202155
202063
201985
2018112