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This paper investigates the potential applications of a parametric family of polynomial wavelets that has been recently introduced starting from de la Vall\'ee Poussin (VP) interpolation at Chebyshev nodes. Unlike classical wavelets, which…

Numerical Analysis · Mathematics 2026-01-22 Mariantonia Cotronei , Woula Themistoclakis , Marc Van Barel

We use Lorentz polynomials to present the solutions explicitly of equations (6.1.7) of [I. Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, 61. Society for Industrial and Applied Mathematics…

Functional Analysis · Mathematics 2015-07-14 Tian-Xiao He , Tung Nguyen

Wavelets have proven to be highly successful in several signal and image processing applications. Wavelet design has been an active field of research for over two decades, with the problem often being approached from an analytical…

Machine Learning · Computer Science 2021-07-26 Dhruv Jawali , Abhishek Kumar , Chandra Sekhar Seelamantula

Image Fusion, a technique which combines complimentary information from different images of the same scene so that the fused image is more suitable for segmentation, feature extraction, object recognition and Human Visual System. In this…

Information Theory · Computer Science 2008-12-04 R. Balasubramanian , Gaurav Bhatnagar

Wavelet theory has been well studied in recent decades. Due to their appealing features such as sparse multiscale representation and fast algorithms, wavelets have enjoyed many tremendous successes in the areas of signal/image processing…

Numerical Analysis · Mathematics 2019-09-27 Bin Han , Michelle Michelle , Yau Shu Wong

Classification of time series signals has become an important construct and has many practical applications. With existing classifiers we may be able to accurately classify signals, however that accuracy may decline if using a reduced…

Machine Learning · Statistics 2021-09-22 Paul Grant , Md Zahidul Islam

Masked Image Modeling (MIM) has garnered significant attention in self-supervised learning, thanks to its impressive capacity to learn scalable visual representations tailored for downstream tasks. However, images inherently contain…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Wenzhao Xiang , Chang Liu , Hongyang Yu , Xilin Chen

The 2-D discrete wavelet transform (DWT) can be found in the heart of many image-processing algorithms. Until recently, several studies have compared the performance of such transform on various shared-memory parallel architectures,…

Performance · Computer Science 2017-05-30 David Barina , Michal Kula , Michal Matysek , Pavel Zemcik

We present two methods for detecting patterns and clusters in high dimensional time-dependent functional data. Our methods are based on wavelet-based similarity measures, since wavelets are well suited for identifying highly discriminant…

Methodology · Statistics 2013-02-15 Anestis Antoniadis , Xavier Brossat , Jairo Cugliari , Jean-Michel Poggi

In this paper fusion of visual and thermal images in wavelet transformed domain has been presented. Here, Daubechies wavelet transform, called as D2, coefficients from visual and corresponding coefficients computed in the same manner from…

Computer Vision and Pattern Recognition · Computer Science 2010-07-06 Mrinal Kanti Bhowmik , Debotosh Bhattacharjee , Mita Nasipuri , Dipak Kumar Basu , Mahantapas Kundu

Unsupervised deep learning has recently demonstrated the promise of producing high-quality samples. While it has tremendous potential to promote the image colorization task, the performance is limited owing to the high-dimension of data…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Jin Li , Wanyun Li , Zichen Xu , Yuhao Wang , Qiegen Liu

We investigate the description of statistical field theories using Daubechies' orthonormal compact wavelets on a lattice. A simple variational approach is used to extend mean field theory and make predictions for the fluctuation strengths…

High Energy Physics - Lattice · Physics 2008-02-03 Christoph Best , Andreas Schaefer

Though performed almost effortlessly by humans, segmenting 2D gray-scale or color images into respective regions of interest (e.g.~background, objects, or portions of objects) constitutes one of the greatest challenges in science and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Alexandre Benatti , Luciano da F. Costa

We investigate a biologically motivated approach to fast visual classification, directly inspired by the recent work of Serre et al. Specifically, trading-off biological accuracy for computational efficiency, we explore using wavelet and…

Computer Vision and Pattern Recognition · Computer Science 2008-06-10 Guoshen Yu , Jean-Jacques Slotine

Wavelets have emerged as a cutting edge technology in a number of fields. Concrete results of their application in Image and Signal processing suggest that wavelets can be effectively applied to Natural Language Processing (NLP) tasks that…

Computation and Language · Computer Science 2025-08-04 Rana Salama , Abdou Youssef , Mona Diab

Deep learning models extract, before a final classification layer, features or patterns which are key for their unprecedented advantageous performance. However, the process of complex nonlinear feature extraction is not well understood, a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Roozbeh Yousefzadeh , Furong Huang

Effective learning of asymmetric and local features in images and other data observed on multi-dimensional grids is a challenging objective critical for a wide range of image processing applications involving biomedical and natural images.…

Methodology · Statistics 2022-10-06 Meng Li , Li Ma

Compressed sensing has empowered quality image reconstruction with fewer data samples than previously though possible. These techniques rely on a sparsifying linear transformation. The Daubechies wavelet transform is a common sparsifying…

Image and Video Processing · Electrical Eng. & Systems 2021-06-17 Nicholas Dwork , Daniel O'Connor , Corey A. Baron , Ethan M. I. Johnson , Adam B. Kerr , John M. Pauly , Peder E. Z. Larson

To improve the efficiency of surgical trajectory segmentation for robot learning in robot-assisted minimally invasive surgery, this paper presents a fast unsupervised method using video and kinematic data, followed by a promoting procedure…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Zhenzhou Shao , Hongfa Zhao , Jiexin Xie , Ying Qu , Yong Guan , Jindong Tan

We propose an algorithm for segmenting natural images based on texture and color information, which leverages the co-sparse analysis model for image segmentation within a convex multilabel optimization framework. As a key ingredient of this…

Computer Vision and Pattern Recognition · Computer Science 2013-12-18 Claudia Nieuwenhuis , Daniel Cremers , Simon Hawe , Martin Kleinsteuber