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We introduce a duality for Affine Iterated Function Systems (AIFS) which is naturally motivated by group duality in the context of traditional harmonic analysis. Our affine systems yield fractals defined by iteration of contractive affine…

Classical Analysis and ODEs · Mathematics 2007-10-25 Dorin Ervin Dutkay , Palle E. T. Jorgensen

Deformable fractured porous media appear in many geoscience applications. While the extended finite element (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of the deformation, its…

Computational Physics · Physics 2021-04-07 Fanxiang Xu , Hadi Hajibeygi , Lambertus J. Sluys

We study the morphology of convergence maps by perturbatively reconstructing their Minkowski Functionals (MFs). We present a systematics study using a set of three generalised skew-spectra as a function of source redshift and smoothing…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 D. Munshi , T. Namikawa , J. D. McEwen , T. D. Kitching , F. R. Bouchet

Large-scale numerical simulations are capable of generating data up to terabytes or even petabytes. As a promising method of data reduction, super-resolution (SR) has been widely studied in the scientific visualization community. However,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-29 Chenyue Jiao , Chongke Bi , Lu Yang

Pansharpening aims to combine a high-resolution panchromatic (PAN) image with a low-resolution multispectral (LRMS) image to produce a high-resolution multispectral (HRMS) image. Although pansharpening in the frequency domain offers clear…

Image and Video Processing · Electrical Eng. & Systems 2025-02-10 Jie Huang , Rui Huang , Jinghao Xu , Siran Pen , Yule Duan , Liangjian Deng

We consider the problem of reconstructing an image from compressive measurements using a multi-resolution grid. In this context, the reconstructed image is divided into multiple regions, each one with a different resolution. This problem…

Computer Vision and Pattern Recognition · Computer Science 2016-02-19 Adriana Gonzalez , Hong Jiang , Gang Huang , Laurent Jacques

To directly image Earth-like planets, contrast levels of 10^-8 - 10^-10 are required. The next generation of instruments will need wavefront control below the nanometer level to achieve these goals. The Zernike wavefront sensor (ZWFS) is a…

Instrumentation and Methods for Astrophysics · Physics 2025-10-01 M. Darcis , S. Y. Haffert , V. Chambouleyron , D. S. Doelman , P. J. de Visser , M. A. Kenworthy

We develop a new methodology for extracting Compton form factors (CFFs) in from deeply virtual exclusive reactions such as the unpolarized DVCS cross section using a specialized inverse problem solver, a variational autoencoder inverse…

High Energy Physics - Phenomenology · Physics 2024-08-13 Manal Almaeen , Tareq Alghamdi , Brandon Kriesten , Douglas Adams , Yaohang Li , Huey-Wen Lin , Simonetta Liuti

Wavefront reconstruction is a critical component in various optical systems, including adaptive optics, interferometry, and phase contrast imaging. Traditional reconstruction methods often employ either the Cartesian (pixel) basis or the…

Optics · Physics 2024-11-06 S. Howard , N. Weisse , J. Schroeder , C. Barbero , B. Alonso , I. Sola , P. Norreys , A. Döpp

Imaging through optical multimode fibers (MMFs) has the potential to enable hair-thin endoscopes that reduce the invasiveness of imaging deep inside tissues and organs. Current approaches predominantly require active wavefront shaping and…

Optics · Physics 2021-12-13 Szu-Yu Lee , Vicente J. Parot , Brett E. Bouma , Martin Villiger

CO2/CH4 separation using ionic liquids (ILs) encapsulated metal-organic frameworks (MOFs), especially ZIF-8, has shown promise as a new technique for separating CO2 from CH4. However, the mechanisms behind the high CO2/CH4 selectivity of…

Chemical Physics · Physics 2021-01-28 Tianhao Yu , Qiong Cai , Guoping Lian , Yinge Bai , Xiaochun Zhang , Xiangping Zhang , Lei Liu

Infrared and visible image fusion (IVIF) is increasingly applied in critical fields such as video surveillance and autonomous driving systems. Significant progress has been made in deep learning-based fusion methods. However, these models…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Yukai Shi , Cidan Shi , Zhipeng Weng , Yin Tian , Xiaoyu Xian , Liang Lin

Deepfake detection remains highly challenging, particularly in cross-dataset scenarios and complex real-world settings. This challenge mainly arises because artifact patterns vary substantially across different forgery methods, whereas…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Xiang Zhang , Wenliang Weng , Daoyong Fu , Beijing Chen , Ziqiang Li , Ziwen He , Zhangjie Fu

In the study, we present AMFusionNet, an innovative approach to infrared and visible image fusion (IVIF), harnessing the power of multiple kernel sizes and attention mechanisms. By assimilating thermal details from infrared images with…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Qian Xu

Flux reconstruction provides a framework for solving partial differential equations in which functions are discontinuously approximated within elements. Typically, this is done by using polynomials. Here, the use of radial basis functions…

Numerical Analysis · Mathematics 2022-01-06 Rob Watson , Will Trojak

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

Multiconfiguration expansions frequently target valence correlation and correlation between valence electrons and the outermost core electrons. Correlation within the core is often neglected. A large orbital basis is needed to saturate both…

Atomic Physics · Physics 2010-04-20 S. Verdebout , P. Jönsson , G. Gaigalas , M. Godefroid , C. Froese Fischer

Reference-based Super-resolution (RefSR) approaches have recently been proposed to overcome the ill-posed problem of image super-resolution by providing additional information from a high-resolution image. Multi-reference super-resolution…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Ke Zhao , Haining Tan , Tsz Fung Yau

Fluid-Structure Interaction (FSI) can be investigated by means of non-linear Finite Element Models (FEM), suitable to capture large deflections of structural parts interacting with fluids, and Computational Fluid Dynamics (CFD). High…

This document describes the implementation of the external module ITKIsotropicWavelets, a multiresolution (MRA) analysis framework using isotropic and steerable wavelets in the frequency domain. This framework provides the backbone for…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Pablo Hernandez-Cerdan