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Partial Differential Equations (PDEs) have long been recognized as powerful tools for image processing and analysis, providing a framework to model and exploit structural and geometric properties inherent in visual data. Over the years,…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Alejandro Garnung Menéndez

Phase aberrations, despite degrading ultrasound images, also encode valuable information about the spatial distribution of the speed of sound in tissue. In pulse-echo ultrasound, we can quantify them by exploiting speckle correlations.…

Medical Physics · Physics 2025-11-20 Naiara Korta Martiartu , Michael Jaeger

We present a model-based feature extractor to describe neighborhoods around keypoints by finite expansion, estimating the spatially varying orientation by harmonic functions. The iso-curves of such functions are highly symmetric w.r.t. the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-06 Anna Mikaelyan , Fernando Alonso-Fernandez , Josef Bigun

We treat the problem of defining, and characterising in a practical way, an appropriate class of distinguished curves for Poincar\'e-Einstein manifolds, and other conformally singular geometries. These "generalised geodesics" agree with…

Differential Geometry · Mathematics 2020-01-10 A. Rod Gover , Daniel Snell

Orientation field, representing the fingerprint ridge structure direction, plays a crucial role in fingerprint-related image processing tasks. Orientation field is able to be constructed by either non-parametric or parametric methods. In…

Computer Vision and Pattern Recognition · Computer Science 2014-07-15 Jinwei Xu , Jiankun Hu , Xiuping Jia

How to compare whole genome sequences at large scale has not been achieved via conventional methods based on pair-wisely base-to-base comparison; nevertheless, no attention was paid to handle in-one-sitting a number of genomes crossing…

Genomics · Quantitative Biology 2014-03-05 Yuncan Ai , Hannan Ai , Fanmei Meng , Lei Zhao

Verifying an identity claim by fingerprint recognition is a commonplace experience for millions of people in their daily life, e.g. for unlocking a tablet computer or smartphone. The first processing step after fingerprint image acquisition…

Computer Vision and Pattern Recognition · Computer Science 2016-05-16 Duy Hoang Thai , Carsten Gottschlich

Compared to contact fingerprint images, contactless fingerprint images exhibit four distinct characteristics: (1) they contain less noise; (2) they have fewer discontinuities in ridge patterns; (3) the ridge-valley pattern is less distinct;…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Mahrukh Siddiqui , Shahzaib Iqbal , Bandar AlShammari , Bandar Alhaqbani , Tariq M. Khan , Imran Razzak

The quality and realism of synthetically generated fingerprint images have increased significantly over the past decade fueled by advancements in generative artificial intelligence (GenAI). This has exacerbated the vulnerability of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Joseph Geo Benjamin , Anil K. Jain , Karthik Nandakumar

Inelastic mechanical responses in solids, such as plasticity, damage and crack initiation, are typically modeled in constitutive ways that display microstructural and loading dependence. Nevertheless, {linear} elasticity at infinitesimal…

Applied Physics · Physics 2019-12-23 Stefanos Papanikolaou

Fingerprint classification is one of the most common approaches to accelerate the identification in large databases of fingerprints. Fingerprints are grouped into disjoint classes, so that an input fingerprint is compared only with those…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Daniel Peralta , Isaac Triguero , Salvador García , Yvan Saeys , Jose M. Benitez , Francisco Herrera

Nowadays, generative models are shaping various fields such as art, design, and human-computer interaction, yet accompanied by challenges related to copyright infringement and content management. In response, existing research seeks to…

Computer Vision and Pattern Recognition · Computer Science 2025-01-20 Tianyun Yang , Juan Cao , Danding Wang , Chang Xu

The parametric nonlinear Schrodinger equation models a variety of parametrically forced and damped dispersive waves. For the defocusing regime, we derive a normal velocity for the evolution of curved dark-soliton fronts that represent a…

Analysis of PDEs · Mathematics 2023-08-21 Keith Promislow , Abba Ramadan

Multiscale analysis of a degenerate pseudoparabolic variational inequality, modelling the two-phase flow with dynamical capillary pressure in a perforated domain, is the main topic of this work. Regularisation and penalty operator methods…

Analysis of PDEs · Mathematics 2018-10-01 Mariya Ptashnyk

Recent advances in the fingerprinting of deep neural networks detect instances of models, placed in a black-box interaction scheme. Inputs used by the fingerprinting protocols are specifically crafted for each precise model to be checked…

Cryptography and Security · Computer Science 2022-08-08 Thibault Maho , Teddy Furon , Erwan Le Merrer

Watermarking the outputs of generative models is a crucial technique for tracing copyright and preventing potential harm from AI-generated content. In this paper, we introduce a novel technique called Tree-Ring Watermarking that robustly…

Machine Learning · Computer Science 2023-07-06 Yuxin Wen , John Kirchenbauer , Jonas Geiping , Tom Goldstein

We present a technique to automatically classify the wave type of seismic phases that are recorded on a single six-component recording station (measuring both three components of translational and rotational ground motion) at the earth's…

Geophysics · Physics 2023-03-01 David Sollberger , Nicholas Bradley , Pascal Edme , Johan O. A. Robertsson

In this study, we introduce and explore a delay differential equation that lends itself to explicit solutions in the Fourier-transformed space. Through the careful alignment of the initial function, we can construct a highly accurate…

Adaptation and Self-Organizing Systems · Physics 2024-12-13 Kenta Ohira , Toru Ohira

In this paper we study similarity measures for moving curves which can, for example, model changing coastlines or retreating glacier termini. Points on a moving curve have two parameters, namely the position along the curve as well as time.…

Computational Geometry · Computer Science 2015-07-15 Kevin Buchin , Tim Ophelders , Bettina Speckmann

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner