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An algorithm is presented to update the multi-fractal spectrum of a time series in constant time when new data arrives. The discrete wavelet transform (DWT) of the time series is first updated for the new data value. This is done optimally…

Chaotic Dynamics · Physics 2007-05-23 Nicolas Brodu

Wastewater surveillance has emerged as a critical public health tool, enabling early detection of infectious disease outbreaks and providing timely, population-level insights into community health trends. However, variability in sample…

Image deblurring is a classical computer vision problem that aims to recover a sharp image from a blurred image. To solve this problem, existing methods apply the Encode-Decode architecture to design the complex networks to make a good…

Image and Video Processing · Electrical Eng. & Systems 2021-10-13 Wenbin Zou , Mingchao Jiang , Yunchen Zhang , Liang Chen , Zhiyong Lu , Yi Wu

To improve diagnostic accuracy of breast cancer detection, several researchers have used the wavelet-based tools, which provide additional insight and information for aiding diagnostic decisions. The accuracy of such diagnoses, however, can…

Methodology · Statistics 2022-01-25 Minkyoung Kang , William Auffermann , Brani Vidakovic

The dual-tree complex wavelet transform (DTCWT) is an enhancement of the conventional discrete wavelet transform (DWT) due to a higher degree of shift-invariance and a greater directional selectivity, finding its applications in signal and…

Classical Analysis and ODEs · Mathematics 2013-05-01 Adriaan Barri , Ann Dooms , Peter Schelkens

Fractional Fourier transform and chaos functions play a key role in many of encryption-decryption algorithms. In this work performance of image encryption-decryption algorithms is quantified and compared using the computation time i.e. the…

Cryptography and Security · Computer Science 2014-01-24 Prerana Sharma

The present work proposes a computer-aided normal and abnormal heart sound identification based on Discrete Wavelet Transform (DWT), it being useful for tele-diagnosis of heart diseases. Due to the presence of Cumulative Frequency…

Computer Vision and Pattern Recognition · Computer Science 2012-09-11 Nilanjan Dey , Achintya Das , Sheli Sinha Chaudhuri

We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions--the B-spline factorization theorem. In particular, starting from…

Information Theory · Computer Science 2013-07-23 Kunal Narayan Chaudhury , Michael Unser

Transformer-based architectures have advanced medical image analysis by effectively modeling long-range dependencies, yet they often struggle in 3D settings due to substantial memory overhead and insufficient capture of fine-grained local…

This paper presents a memory efficient, high throughput parallel lifting based running three dimensional discrete wavelet transform (3-D DWT) architecture. 3-D DWT is constructed by combining the two spatial and four temporal processors.…

Hardware Architecture · Computer Science 2015-09-16 Batta Kota Naga Srinivasarao , Indrajit Chakrabarti

In this thesis, a completely revisited data protection scheme based on selective encryption is presented. First, this new scheme is agnostic in term of data format, second it has a parallel architecture using GPGPU allowing performance to…

Cryptography and Security · Computer Science 2018-03-14 Han Qiu

Recently learned image compression (LIC) has achieved great progress and even outperformed the traditional approach using DCT or discrete wavelet transform (DWT). However, LIC mainly reduces spatial redundancy in the autoencoder networks…

Applications · Statistics 2024-07-16 Haisheng Fu , Jie Liang , Zhenman Fang , Jingning Han , Feng Liang , Guohe Zhang

Some conventional transforms such as Discrete Walsh-Hadamard Transform (DWHT) and Discrete Cosine Transform (DCT) have been widely used as feature extractors in image processing but rarely applied in neural networks. However, we found that…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Joonhyun Jeong , Sung-Ho Bae

In this paper, we propose two contributions to neural network based denoising. First, we propose applying separate convolutional layers to each sub-band of discrete wavelet transform (DWT) as opposed to the common usage of DWT which…

Machine Learning · Computer Science 2021-02-17 Caglar Aytekin , Sakari Alenius , Dmytro Paliy , Juuso Gren

This paper is devoted to the development and research of a new compression technology based on Weyl-Heisenberg bases (WH-technology) for modifying the JPEG compression standard and improving its characteristics. For this purpose, the paper…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 V. Asiryan , V. Volchkov , N. Papulovskaya

In this paper, we introduce several new schemes for calculation of discrete wavelet transforms of images. These schemes reduce the number of steps and, as a consequence, allow to reduce the number of synchronizations on parallel…

Computer Vision and Pattern Recognition · Computer Science 2019-10-17 David Barina , Michal Kula , Pavel Zemcik

Discrete wavelet transform of finite-length signals must necessarily handle the signal boundaries. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way, using special prolog or epilog phases. This holds…

Signal Processing · Electrical Eng. & Systems 2017-09-26 David Barina , Pavel Zemcik , Michal Kula

The number of phase wraps in 2D wrapped phase map can be completely eliminated, or greatly reduced by frequency shifting. But the wraps usually cannot be optimally reduced using the conventional fast Fourier transform (FFT) because the…

Instrumentation and Detectors · Physics 2017-10-11 Minmin Wang , Guangliang Du , Canlin Zhou , Shuchun Si , Zhenkun Lei , XiaoLei Li , YanJie Li

Boundary detection of irregular and translucent objects is an important problem with applications in medical imaging, environmental monitoring and manufacturing, where many of these applications are plagued with scarce labeled data and low…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Fei Yu Guan , Ian Keefe , Sophie Wilkinson , Daniel D. B. Perrakis , Steven Waslander

The Continuous Wavelet Transform (CWT) is an effective tool for feature extraction in acoustic recognition using Convolutional Neural Networks (CNNs), particularly when applied to non-stationary audio. However, its high computational cost…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-01 Dang Thoai Phan , Tuan Anh Huynh , Van Tuan Pham , Cao Minh Tran , Van Thuan Mai , Ngoc Quy Tran