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A new phase field crystal (PFC) type theory is presented, which accounts for the full spectrum of solid-liquid-vapor phase transitions within the framework of a single density order parameter. Its equilibrium properties show the most…

Materials Science · Physics 2015-06-23 Gabriel Kocher , Nikolas Provatas

We present Hybrid-CSR, a geometric deep-learning model that combines explicit and implicit shape representations for cortical surface reconstruction. Specifically, Hybrid-CSR begins with explicit deformations of template meshes to obtain…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Shanlin Sun , Thanh-Tung Le , Chenyu You , Hao Tang , Kun Han , Haoyu Ma , Deying Kong , Xiangyi Yan , Xiaohui Xie

We present an hybrid VOF/embedded boundary method allowing to model two-phase flows in presence of solids with arbitrary shapes. The method relies on the coupling of existing methods: a geometric Volume of fluid (VOF) method to tackle the…

$^{18}$F-Fluoromisonidazole ($^{18}$F-FMISO) is a highly promising positron emission tomography radiopharmaceutical for identifying hypoxic regions in solid tumors. This research employs spatiotemporal multi-scale mathematical modeling to…

Biological Physics · Physics 2024-05-08 Mohammad Amin Abazari , M. Soltani , Faezeh Eydi , Arman Rahmim , Farshad Moradi Kashkooli

A new three-dimensional (3D) multiphase computational fluid dynamics (CFD) model for adsorption physics in packed beds of spherical beads is developed and validated. The model is constituted at a macroscopic scale that integrates new…

Fluid Dynamics · Physics 2026-03-24 Mohamad Najib Nadamani , Mostafa Safdari Shadloo , Talib Dbouk

When a fluid carrying a passive solute flows quickly through porous media, three key macroscale transport mechanisms occur. These mechanisms are diffusion, advection and dispersion, all of which depend on the microstructure of the porous…

Fluid Dynamics · Physics 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

Monitoring diseases that affect the brain's structural integrity requires automated analysis of magnetic resonance (MR) images, e.g., for the evaluation of volumetric changes. However, many of the evaluation tools are optimized for…

This paper proposes a stable volume and a stable volume variant, referred to as a stable sub-volume, for more reliable data analysis using persistent homology. In prior research, an optimal cycle and similar ideas have been proposed to…

Algebraic Topology · Mathematics 2022-01-25 Ippei Obayashi

The discrete fracture model (DFM) has been widely used in the simulation of fluid flow in fractured porous media. Traditional DFM uses the so-called hybrid-dimensional approach to treat fractures explicitly as low-dimensional entries (e.g.…

Numerical Analysis · Mathematics 2021-02-01 Ziyao Xu , Yang Yang

Persistent Homology (PH) offers stable, multi-scale descriptors of intrinsic shape structure by capturing connected components, loops, and voids that persist across scales, providing invariants that complement purely geometric…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Prachi Kudeshia , Jiju Poovvancheri , Amr Ghoneim , Dong Chen

Brain tumors analysis is important in timely diagnosis and effective treatment to cure patients. Tumor analysis is challenging because of tumor morphology like size, location, texture, and heteromorphic appearance in the medical images. In…

Image and Video Processing · Electrical Eng. & Systems 2022-02-14 Mirza Mumtaz Zahoor , Shahzad Ahmad Qureshi , Saddam Hussain Khan , Asifullah Khan

Accurate, patient-specific vascular geometry is pivotal for diagnosis, planning, and device design, yet existing statistical shape modeling (SSM) pipelines rely on linear priors and topology-specific preprocessing that limit realism,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Pan Du , Mingqi Xu , Xiaozhi Zhu , Jian-xun Wang

Computational models and simulations are not just appealing because of their intrinsic characteristics across spatiotemporal scales, scalability, and predictive power, but also because the set of problems in cancer biomedicine that can be…

Tissues and Organs · Quantitative Biology 2023-11-01 Nicolò Cogno , Cristian Axenie , Roman Bauer , Vasileios Vavourakis

Traditional image codecs emphasize signal fidelity and human perception, often at the expense of machine vision tasks. Deep learning methods have demonstrated promising coding performance by utilizing rich semantic embeddings optimized for…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Sha Guo , Zhuo Chen , Yang Zhao , Ning Zhang , Xiaotong Li , Lingyu Duan

Hybrid modeling, the combination of first principle and machine learning models, is an emerging research field that gathers more and more attention. Even if hybrid models produce formidable results for academic examples, there are still…

Machine Learning · Computer Science 2021-12-15 Tobias Thummerer , Johannes Tintenherr , Lars Mikelsons

We seek the response, in particular the spectral absorptance, of a rigidly-backed periodically-(in one horizontal~~ direction) ~inhomogeneous ~layer ~composed ~of ~alternating rigid and macroscopically-homogeneous porous portions, submitted…

Applied Physics · Physics 2018-10-05 Armand Wirgin

Spherical matrix arrays arguably represent an advantageous tomographic detection geometry for non-invasive deep tissue mapping of vascular networks and oxygenation with volumetric optoacoustic tomography (VOT). Hybridization of VOT with…

Medical Physics · Physics 2021-01-05 Justine Robin , Ali Ozbek , Michael Reiss , Xose-Luis Dean-Ben , Daniel Razansky

Turbulence modeling has the potential to revolutionize high-speed vehicle design by serving as a co-equal partner to costly and challenging ground and flight testing. However, the fundamental assumptions that make turbulence modeling such…

Fluid Dynamics · Physics 2023-04-18 Chitrarth Prasad , Datta V. Gaitonde

Text-to-image diffusion models have achieved remarkable visual quality but incur high computational costs, making latency-aware, scalable deployment challenging. To address this, we advocate a hybrid architecture that achieves query…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-07 Qizheng Yang , Tung-I Chen , Siyu Zhao , Ramesh K. Sitaraman , Hui Guan

In this work we propose and analyze a novel Hybrid High-Order discretization of a class of (linear and) nonlinear elasticity models in the small deformation regime which are of common use in solid mechanics. The proposed method is valid in…

Numerical Analysis · Mathematics 2017-07-10 Michele Botti , Daniele Di Pietro , Pierre Sochala
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