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Although equirectangular projection (ERP) is a convenient form to store omnidirectional images (also known as 360-degree images), it is neither equal-area nor conformal, thus not friendly to subsequent visual communication. In the context…

Image and Video Processing · Electrical Eng. & Systems 2021-12-28 Mu Li , Kede Ma , Jinxing Li , David Zhang

We propose a novel deep learning framework for fast prediction of boundaries of two-dimensional simply connected domains using wavelets and Multi Resolution Analysis (MRA). The boundaries are modelled as (piecewise) smooth closed curves…

Computer Vision and Pattern Recognition · Computer Science 2021-10-29 Ray Sheombarsing , Nikita Moriakov , Jan-Jakob Sonke , Jonas Teuwen

Recent work introduced a unified framework for steerable and directional wavelets in two and three dimensions that ensures many desirable properties, such as a multi-scale structure, fast transforms, and a flexible angular localization. We…

Numerical Analysis · Computer Science 2018-05-08 Christian Lessig

Dense pixelwise prediction such as semantic segmentation is an up-to-date challenge for deep convolutional neural networks (CNNs). Many state-of-the-art approaches either tackle the loss of high-resolution information due to pooling in the…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Lingni Ma , Jörg Stückler , Tao Wu , Daniel Cremers

In recent years, reversible data hiding has attracted much more attention than before. Reversibility signifies that the original media can be recovered without any loss from the marked media after extracting the embedded message. This paper…

Cryptography and Security · Computer Science 2011-02-09 Xu-Ren Luo , Chen-Hui Jerry Lin , Te-Lung Yin

Wavelet based algorithms in numerical analysis are similar to other transform methods in that vectors and operators are expanded into a basis and the computations take place in this new system of coordinates. However, due to the recursive…

comp-gas · Physics 2008-02-03 G. Beylkin

Deep unfolding networks have gained increasing attention in the field of compressed sensing (CS) owing to their theoretical interpretability and superior reconstruction performance. However, most existing deep unfolding methods often face…

Image and Video Processing · Electrical Eng. & Systems 2025-04-17 Kai Han , Jin Wang , Yunhui Shi , Hanqin Cai , Nam Ling , Baocai Yin

The sparse representation of signals defined on Euclidean domains has been successfully applied in signal processing. Bringing the power of sparse representations to non-regular domains is still a challenge, but promising approaches have…

Computational Geometry · Computer Science 2020-11-26 Lizeth J. Fuentes Perez , Luciano A. Romero Calla , Anselmo A. Montenegro , Claudio Mura , Renato Pajarola

Due to the emergence of new high resolution numerical weather prediction (NWP) models and the availability of new or more reliable remote sensing data, the importance of efficient spatial verification techniques is growing. Wavelet…

Atmospheric and Oceanic Physics · Physics 2017-04-05 Michael Weniger , Florian Kapp , Petra Friederichs

Single-pixel imaging is an indirect imaging technique which utilizes simplified optical hardware and advanced computational methods. It offers novel solutions for hyper-spectral imaging, polarimetric imaging, three-dimensional imaging,…

Image and Video Processing · Electrical Eng. & Systems 2018-01-12 Krzysztof M. Czajkowski , Anna Pastuszczak , Rafał Kotyński

In this paper novel classes of 2-D vector-valued spatial domain wavelets are defined, and their properties given. The wavelets are 2-D generalizations of 1-D analytic wavelets, developed from the Generalized Cauchy-Riemann equations and…

Statistics Theory · Mathematics 2010-05-10 S. C. Olhede , G. Metikas

We present a novel generative modeling framework,Wavelet-Fourier-Diffusion, which adapts the diffusion paradigm to hybrid frequency representations in order to synthesize high-quality, high-fidelity images with improved spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Andrew Kiruluta , Andreas Lemos

The data-driven sparse methods such as synthesis dictionary learning (e.g., K-SVD) and sparsifying transform learning have been proven effective in image denoising. However, they are intrinsically single-scale which can lead to suboptimal…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ashkan Abbasi , Amirhassan Monadjemi , Leyuan Fang , Hossein Rabbani , Neda Noormohammadi , Yi Zhang

The theory of representation learning aims to build methods that provably invert the data generating process with minimal domain knowledge or any source of supervision. Most prior approaches require strong distributional assumptions on the…

Machine Learning · Computer Science 2022-06-03 Kartik Ahuja , Jason Hartford , Yoshua Bengio

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

We present a wavelet-based dual-stream network that addresses color cast and blurry details in underwater images. We handle these artifacts separately by decomposing an input image into multiple frequency bands using discrete wavelet…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Ziyin Ma , Changjae Oh

Texture classification is an important and challenging problem in many image processing applications. While convolutional neural networks (CNNs) achieved significant successes for image classification, texture classification remains a…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Shin Fujieda , Kohei Takayama , Toshiya Hachisuka

Ray tracing has become a standard for accurate radio propagation modeling, but suffers from exponential computational complexity, as the number of candidate paths scales with the number of objects raised to the interaction order. This…

We propose a new shape analysis approach based on the non-local analysis of local shape variations. Our method relies on a novel description of shape variations, called Local Probing Field (LPF), which describes how a local probing operator…

Computational Geometry · Computer Science 2017-11-03 Julie Digne , Sébastien Valette , Raphaëlle Chaine

This paper studies analog beamforming in active sensing applications, such as millimeter-wave radar or ultrasound imaging. Analog beamforming architectures employ a single RF-IF chain connected to all array elements via inexpensive phase…

Signal Processing · Electrical Eng. & Systems 2019-06-24 Robin Rajamäki , Sundeep Prabhakar Chepuri , Visa Koivunen