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Accurate density estimation methodologies play an integral role in a variety of scientific disciplines, with applications including simulation models, decision support tools, and exploratory data analysis. In the past, histograms and kernel…

Statistics Theory · Mathematics 2012-06-14 Judson B. Locke , Adrian M. Peter

Diffeomorphic deformable image registration is crucial in many medical image studies, as it offers unique, special properties including topology preservation and invertibility of the transformation. Recent deep learning-based deformable…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tony C. W. Mok , Albert C. S. Chung

The synchrosqueezing method aims at decomposing 1D functions as superpositions of a small number of "Intrinsic Modes", supposed to be well separated both in time and frequency. Based on the unidimensional wavelet transform and its…

Numerical Analysis · Mathematics 2012-11-22 Marianne Clausel , Thomas Oberlin , Valérie Perrier

In Image Compression, the researchers' aim is to reduce the number of bits required to represent an image by removing the spatial and spectral redundancies. Recently discrete wavelet transform and wavelet packet has emerged as popular…

Computer Vision and Pattern Recognition · Computer Science 2010-04-20 G. K. Kharate , V. H. Patil

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

Wavelet Transforms are a widely used technique for decomposing a signal into coefficient vectors that correspond to distinct frequency/scale bands while retaining time localization. This property enables an adaptive analysis of signals at…

Applications · Statistics 2025-11-05 Jack Kissell , Vijini Lakmini , Brani Vidakovic

Image registration is the process of bringing different images into a common coordinate system - a technique widely used in various applications of computer vision, such as remote sensing, image retrieval, and, most commonly, medical…

Recently, ghost imaging has been attracting attentions because its mechanism would lead to many applications inaccessible to conventional imaging methods. However, it is challenging for high contrast and high resolution imaging, due to its…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Mengjia Xi , Hui Chen , Yuan Yuan , Gao Wang , Yuchen He , Yan Liang , Jianbin Liu , Huaibin Zheng , Zhuo Xu

Morphing is the process of combining two or more subjects in an image in order to create a new identity which contains features of both individuals. Morphed images can fool Facial Recognition Systems (FRS) into falsely accepting multiple…

Computer Vision and Pattern Recognition · Computer Science 2021-11-04 Kelsey O'Haire , Sobhan Soleymani , Baaria Chaudhary , Poorya Aghdaie , Jeremy Dawson , Nasser M. Nasrabadi

Latest diffusion-based methods for many image restoration tasks outperform traditional models, but they encounter the long-time inference problem. To tackle it, this paper proposes a Wavelet-Based Diffusion Model (WaveDM). WaveDM learns the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Yi Huang , Jiancheng Huang , Jianzhuang Liu , Mingfu Yan , Yu Dong , Jiaxi Lv , Chaoqi Chen , Shifeng Chen

Adaptive mesh refinement techniques are nowadays an established and powerful tool for the numerical discretization of PDE's. In recent years, wavelet bases have been proposed as an alternative to these techniques. The main motivation for…

Numerical Analysis · Mathematics 2025-10-20 Albert Cohen

In this paper, we present a Convolutional Neural Network (CNN) regression approach for real-time 2-D/3-D registration. Different from optimization-based methods, which iteratively optimize the transformation parameters over a scalar-valued…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Shun Miao , Z. Jane Wang , Rui Liao

We study image compression by a separable wavelet basis $\big\{\psi(2^{k_1}x-i)\psi(2^{k_2}y-j),$ $\phi(x-i)\psi(2^{k_2}y-j),$ $\psi(2^{k_1}(x-i)\phi(y-j),$ $\phi(x-i)\phi(y-i)\big\},$ where $k_1, k_2 \in \mathbb{Z}_+$; $i,j\in\mathbb{Z}$;…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Vyacheslav Zavadsky

We introduce graph wedgelets - a tool for data compression on graphs based on the representation of signals by piecewise constant functions on adaptively generated binary graph partitionings. The adaptivity of the partitionings, a key…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Wolfgang Erb

In this paper, we introduce a new (constructive) characterization of tight wavelet frames on non-flat domains in both continuum setting, i.e. on manifolds, and discrete setting, i.e. on graphs; discuss how fast tight wavelet frame…

Functional Analysis · Mathematics 2015-10-07 Bin Dong

Although deep convolutional neural networks have achieved remarkable success in removing synthetic fog, it is essential to be able to process images taken in complex foggy conditions, such as dense or non-homogeneous fog, in the real world.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Shengli Zhang , Zhiyong Tao , Sen Lin

We present a new imaging technique, swept-angle synthetic wavelength interferometry, for full-field micron-scale 3D sensing. As in conventional synthetic wavelength interferometry, our technique uses light consisting of two…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Alankar Kotwal , Anat Levin , Ioannis Gkioulekas

In this paper, we propose a new two-dimensional directional discrete wavelet transform that can decompose an image into 12 multiscale directional edge components. The proposed transform is designed in a fully discrete setting and thus is…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Kensuke Fujinoki , Keita Ashizawa

Like the continous shearlet transform and their relatives, discrete transformations based on the interplay between several filterbanks with anisotropic dilations provide a high potential to recover directed features in two and more…

Numerical Analysis · Mathematics 2018-03-20 Mariantonia Cotronei , Milvia Rossini , Tomas Sauer , Elena Volontè

Capturing high-frequency data concerning the condition of complex systems, e.g. by acoustic monitoring, has become increasingly prevalent. Such high-frequency signals typically contain time dependencies ranging over different time scales…

Sound · Computer Science 2022-06-14 Gaetan Frusque , Olga Fink
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