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This work introduces a new approach to reduce the computational cost of solving partial differential equations (PDEs) with convection-dominated solutions: model reduction with implicit feature tracking. Traditional model reduction…

Numerical Analysis · Mathematics 2021-10-01 Marzieh Alireza Mirhoseini , Matthew J. Zahr

Segmentation is a critical task in computational pathology, as it identifies areas affected by disease or abnormal growth and is essential for diagnosis and treatment. However, acquiring high-quality pixel-level supervised segmentation data…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Zhiling Yan , Sicheng Chen , Tianyi Zhang , Nan Ying , Yanli Lei , Guanglei Zhang

Early detection and segmentation of skin lesions is crucial for timely diagnosis and treatment, necessary to improve the survival rate of patients. However, manual delineation is time consuming and subject to intra- and inter-observer…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Sulaiman Vesal , Shreyas Malakarjun Patil , Nishant Ravikumar , Andreas Maier

Domain decomposition methods are used for approximate solving boundary problems for partial differential equations on parallel computing systems. Specific features of unsteady problems are taken into account in the most complete way in…

Numerical Analysis · Computer Science 2011-05-18 Petr N. Vabishchevich

Recovered finite element methods (R-FEM) have been recently introduced for meshes consisting of simplicial and/or box-type meshes. Here, utilising the flexibility of R-FEM framework, we extend their definition on polygonal and polyhedral…

Numerical Analysis · Mathematics 2018-04-24 Zhaonan Dong , Emmanuil H. Georgoulis , Tristan Pryer

We propose a federated algorithm for reconstructing images using multimodal tomographic data sourced from dispersed locations, addressing the challenges of traditional unimodal approaches that are prone to noise and reduced image quality.…

Optimization and Control · Mathematics 2025-01-13 Geunyeong Byeon , Minseok Ryu , Zichao Wendy Di , Kibaek Kim

Solving partial differential equations (PDEs) on complex domains can present significant computational challenges. The Diffuse Domain Method (DDM) is an alternative that reformulates the partial differential equations on a larger, simpler…

Numerical Analysis · Mathematics 2025-07-24 Luke Benfield , Andreas Dedner

In this work a generalized phase-field cohesive zone model ($\mu$PF-CZM) is proposed within the framework of the unified phase-field theory for brittle and cohesive fracture. With the introduction of an extra dissipation function for the…

Materials Science · Physics 2024-09-04 Jian-Ying Wu

This paper describes the use of the corotational cut Finite Element Method (FEM) for real-time surgical simulation. Users only need to provide a background mesh which is not necessarily conforming to the boundaries/interfaces of the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Huu Phuoc Bui , Satyendra Tomar , Stéphane P. A. Bordas

This paper addresses the domain adaptation challenge for semantic segmentation in medical imaging. Despite the impressive performance of recent foundational segmentation models like SAM on natural images, they struggle with medical domain…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Javier Gamazo Tejero , Moritz Schmid , Pablo Márquez Neila , Martin S. Zinkernagel , Sebastian Wolf , Raphael Sznitman

We propose a patchwise local Fourier extension method for approximating smooth functions on general two dimensional domains with curved boundaries. The domain is embedded into a Cartesian background grid and decomposed into rectangular…

Numerical Analysis · Mathematics 2026-05-12 Zhenyu Zhao , Yanfei Wang

This contribution, Part I in a two-part article series, presents a general-domain version of the FC-SDNN (Fourier Continuation Shock-detecting Neural Network) spectral scheme for the numerical solution of nonlinear conservation laws, which…

Numerical Analysis · Mathematics 2025-06-23 Oscar P. Bruno , Daniel V. Leibovici

The virtual element method (VEM) is a stabilized Galerkin method that is robust and accurate on general polygonal meshes. This feature makes it an appealing candidate for simulations involving meshes with embedded interfaces and evolving…

Numerical Analysis · Mathematics 2025-10-03 Ramsharan Rangarajan , N. Sukumar

Concurrent multiscale damage models are often used to quantify the impacts of manufacturing-induced micro porosity on the damage response of macroscopic metallic components. However, these models are challenged by major numerical issues…

Computational Engineering, Finance, and Science · Computer Science 2023-02-21 Shiguang Deng , Diran Apelian , Ramin Bostanabad

Video semantic segmentation is active in recent years benefited from the great progress of image semantic segmentation. For such a task, the per-frame image segmentation is generally unacceptable in practice due to high computation cost. To…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Jiafan Zhuang , Zilei Wang , Bingke Wang

In this work, we propose a new paradigm of iterative model-based reconstruction algorithms for providing real-time solution for zooming-in and refining a region of interest in medical and clinical tomographic images. This algorithmic…

Image and Video Processing · Electrical Eng. & Systems 2025-12-01 Junqi Tang , Guixian Xu , Jinglai Li

Semantic segmentation of high-resolution remote sensing images plays a crucial role in land-use monitoring and urban planning. Recent remarkable progress in deep learning-based methods makes it possible to generate satisfactory segmentation…

Image and Video Processing · Electrical Eng. & Systems 2025-04-04 Feng Gao , Miao Fu , Jingchao Cao , Junyu Dong , Qian Du

Solving variational image segmentation problems with hidden physics is often expensive and requires different algorithms and manually tunes model parameter. The deep learning methods based on the U-Net structure have obtained outstanding…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Hui Zhu , Shi Shu , Jianping Zhang

Scanning transmission electron microscopy (STEM) is now the primary tool for exploring functional materials on the atomic level. Often, features of interest are highly localized in specific regions in the material, such as ferroelectric…

Materials Science · Physics 2021-08-11 Nicole Creange , Ondrej Dyck , Rama K. Vasudevan , Maxim Ziatdinov , Sergei V. Kalinin

Visual surface anomaly detection aims to detect local image regions that significantly deviate from normal appearance. Recent surface anomaly detection methods rely on generative models to accurately reconstruct the normal areas and to fail…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Vitjan Zavrtanik , Matej Kristan , Danijel Skočaj
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