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The wavelet transform and related techniques are used to analyze singular and fractal signals. The normalized wavelet scalogram is introduced to detect singularities including jumps, cusps and other sharply changing points. The wavelet…

Signal Processing · Electrical Eng. & Systems 2021-11-04 Hua-Liang Wei , S. A. Billings

Deep learning-based joint source-channel coding (deep JSCC) has been demonstrated to be an effective approach for wireless image transmission. Nevertheless, most existing work adopts an autoencoder framework to optimize conventional…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Mingyu Yang , Bowen Liu , Boyang Wang , Hun-Seok Kim

The empirical wavelet transform is an adaptive multiresolution analysis tool based on the idea of building filters on a data-driven partition of the Fourier domain. However, existing 2D extensions are constrained by the shape of the…

Spectral Theory · Mathematics 2024-10-28 Basile Hurat , Zariluz Alvarado , Jerome Gilles

Recently single image super resolution is very important research area to generate high resolution image from given low resolution image. Algorithms of single image resolution are mainly based on wavelet domain and spatial domain. Filters…

Computer Vision and Pattern Recognition · Computer Science 2013-09-10 Sapan Naik , Nikunj Patel

A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of the wavelet formalism developed by Antoine & Vandergheynst (1999) and Wiaux…

Astrophysics · Physics 2008-12-09 Y. Wiaux , J. D. McEwen , P. Vandergheynst , O. Blanc

We demonstrate a wavefront sensor based on the compressive sensing, single-pixel camera. Using a high-resolution spatial light modulator (SLM) as a variable waveplate, we weakly couple an optical field's transverse-position and polarization…

Optics · Physics 2014-07-30 Gregory A. Howland , Daniel J. Lum , John C. Howell

Recent advances in deep learning have led to superhuman performance across a variety of applications. Recently, these methods have been successfully employed to improve the rate-distortion performance in the task of image compression.…

Image and Video Processing · Electrical Eng. & Systems 2022-02-01 Ankur Mali , Alexander Ororbia , Daniel Kifer , Lee Giles

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

Due to the increasing requirements for transmission of images in computer, mobile environments, the research in the field of image compression has increased significantly. Image compression plays a crucial role in digital image processing,…

Multimedia · Computer Science 2014-05-26 A. M. Raid , W. M. Khedr , M. A. El-dosuky , Wesam Ahmed

A recently developed new approach, called ``Empirical Wavelet Transform'', aims to build 1D adaptive wavelet frames accordingly to the analyzed signal. In this paper, we present several extensions of this approach to 2D signals (images). We…

Functional Analysis · Mathematics 2024-11-01 Jerome Gilles , Giang Tran , Stanley Osher

Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is…

Functional Analysis · Mathematics 2024-11-01 Jerome Gilles

Coarse-to-fine schemes are widely used in traditional single-image motion deblur; however, in the context of deep learning, existing multi-scale algorithms not only require the use of complex modules for feature fusion of low-scale RGB…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Xin Gao , Tianheng Qiu , Xinyu Zhang , Hanlin Bai , Kang Liu , Xuan Huang , Hu Wei , Guoying Zhang , Huaping Liu

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

An approach to watermarking digital images using non-regular wavelets is advanced. Non-regular transforms spread the energy in the transform domain. The proposed method leads at the same time to increased image quality and increased…

Multimedia · Computer Science 2016-01-28 R. J. Cintra , T. V. Cooklev

Precise Tooth Cone Beam Computed Tomography (CBCT) image segmentation is crucial for orthodontic treatment planning. In this paper, we propose FDNet, a Feature Decoupled Segmentation Network, to excel in the face of the variable dental…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Xiang Feng , Chengkai Wang , Chengyu Wu , Yunxiang Li , Yongbo He , Shuai Wang , Yaiqi Wang

The maximum information rates for bandlimited channels with direct detection are achieved with joint detection and decoding (JDD), but JDD is often too complex to implement. Two receiver structures are studied to reduce complexity: separate…

Information Theory · Computer Science 2023-12-20 Tobias Prinz , Daniel Plabst , Thomas Wiegart , Stefano Calabrò , Norbert Hanik , Gerhard Kramer

We develop an algorithm for single-image superresolution of remotely sensed data, based on the discrete shearlet transform. The shearlet transform extracts directional features of signals, and is known to provide near-optimally sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Wojciech Czaja , James M. Murphy , Daniel Weinberg

We propose a novel efficient and robust Wavelet-based Edge Multiscale Finite Element Method (WEMsFEM) motivated by \cite{MR3980476,GL18} to solve the singularly perturbed convection-diffusion equations. The main idea is to first establish a…

Numerical Analysis · Mathematics 2024-11-12 Shubin Fu , Eric Chung , Guanglian Li

Diffusion models, which learn to reverse a signal destruction process to generate new data, typically require the signal at each step to have the same dimension. We argue that, considering the spatial redundancy in image signals, there is…

Machine Learning · Computer Science 2022-11-30 Han Zhang , Ruili Feng , Zhantao Yang , Lianghua Huang , Yu Liu , Yifei Zhang , Yujun Shen , Deli Zhao , Jingren Zhou , Fan Cheng

Domain generalization in fundus imaging is challenging due to variations in acquisition conditions across devices and clinical settings. The inability to adapt to these variations causes performance degradation on unseen domains for deep…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Shramana Dey , Varun Ajith , Abhirup Banerjee , Sushmita Mitra