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We propose a fluid-based registration framework of medical images based on implicit neural representation. By integrating implicit neural representation and Large Deformable Diffeomorphic Metric Mapping (LDDMM), we employ a Multilayer…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Chulong Zhang , Xiaokun Liang

Computational fluid dynamics (CFD) simulation is an irreplaceable modelling step in many engineering designs, but it is often computationally expensive. Some graph neural network (GNN)-based CFD methods have been proposed. However, the…

Machine Learning · Computer Science 2023-11-27 Loh Sher En Jessica , Naheed Anjum Arafat , Wei Xian Lim , Wai Lee Chan , Adams Wai Kin Kong

Implicit Neural Representations (INRs) have emerged in the last few years as a powerful tool to encode continuously a variety of different signals like images, videos, audio and 3D shapes. When applied to 3D shapes, INRs allow to overcome…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Luca De Luigi , Adriano Cardace , Riccardo Spezialetti , Pierluigi Zama Ramirez , Samuele Salti , Luigi Di Stefano

Implicit neural representations (INRs) have been successfully used to compress a variety of 3D surface representations such as Signed Distance Functions (SDFs), voxel grids, and also other forms of structured data such as images, videos,…

Graphics · Computer Science 2025-04-03 Sai Karthikey Pentapati , Gregoire Phillips , Alan C. Bovik

We present a technique for dense 3D reconstruction of objects using an imaging sonar, also known as forward-looking sonar (FLS). Compared to previous methods that model the scene geometry as point clouds or volumetric grids, we represent…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Mohamad Qadri , Michael Kaess , Ioannis Gkioulekas

Neural implicit representations, including Neural Distance Fields and Neural Radiance Fields, have demonstrated significant capabilities for reconstructing surfaces with complicated geometry and topology, and generating novel views of a…

Graphics · Computer Science 2024-02-08 Lin Gao , Jie Yang , Bo-Tao Zhang , Jia-Mu Sun , Yu-Jie Yuan , Hongbo Fu , Yu-Kun Lai

Implicit Neural Representation (INR) is an innovative approach for representing complex shapes or objects without explicitly defining their geometry or surface structure. Instead, INR represents objects as continuous functions. Previous…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Hanqiu Chen , Hang Yang , Stephen Fitzmeyer , Cong Hao

Neural implicit shape representation has drawn significant attention in recent years due to its smoothness, differentiability, and topological flexibility. However, directly modeling the shape of a neural implicit surface, especially as the…

Finding the distribution of the velocities and pressures of a fluid by solving the Navier-Stokes equations is a principal task in the chemical, energy, and pharmaceutical industries, as well as in mechanical engineering and the design of…

Machine Learning · Computer Science 2024-07-16 Alexandr Sedykh , Maninadh Podapaka , Asel Sagingalieva , Karan Pinto , Markus Pflitsch , Alexey Melnikov

Two methods for solid body representation in flow simulations available in the Pencil Code are the immersed boundary method and overset grids. These methods are quite different in terms of computational cost, flexibility and numerical…

Computational Physics · Physics 2018-11-20 Jørgen R. Aarnes , Tai Jin , Chaoli Mao , Nils E. L. Haugen , Kun Luo , Helge I. Andersson

In recent years, neural distance functions trained via volumetric ray marching have been widely adopted for multi-view 3D reconstruction. These methods, however, apply the ray marching procedure for the entire scene volume, leading to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Andreea Dogaru , Andrei Timotei Ardelean , Savva Ignatyev , Egor Zakharov , Evgeny Burnaev

An implicit neural representation (INR) is a neural network that approximates a spatiotemporal function. Many memory-intensive visualization tasks, including modern 4D CT scanning methods, represent data natively as INRs. While INRs are…

Machine Learning · Computer Science 2025-12-03 Jennifer Zvonek , Andrew Gillette

Physically plausible fluid simulations play an important role in modern computer graphics and engineering. However, in order to achieve real-time performance, computational speed needs to be traded-off with physical accuracy. Surrogate…

Fluid Dynamics · Physics 2021-05-19 Nils Wandel , Michael Weinmann , Reinhard Klein

In this work we target a learnable output representation that allows continuous, high resolution outputs of arbitrary shape. Recent works represent 3D surfaces implicitly with a Neural Network, thereby breaking previous barriers in…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Julian Chibane , Aymen Mir , Gerard Pons-Moll

Meshfree particle methods, such as Smoothed Particle Hydrodynamics (SPH) and the Moving Particle Semi-Implicit (MPS) method, are widely used to simulate complex free-surface and multiphase flows. A key challenge in these methods is the…

Computational Physics · Physics 2025-10-22 Nariman Mehranfar , Ahmad Shakibaeinia

Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts to immersed boundary methods, which perform simulations on a…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Benjamin Marussig , René Hiemstra , Dominik Schillinger

Embedded boundary methods alleviate many computational challenges, including those associated with meshing complex geometries and solving problems with evolving domains and interfaces. Developing model reduction methods for computational…

Computational Physics · Physics 2014-07-09 Maciej Balajewicz , Charbel Farhat

Generative AI has emerged as a transformative paradigm in engineering design, enabling automated synthesis and reconstruction of complex 3D geometries while preserving feasibility and performance relevance. This paper introduces a…

Machine Learning · Computer Science 2026-01-21 Ashish S. Nair , Sandipp Krishnan Ravi , Itzel Salgado , Changjie Sun , Sayan Ghosh , Liping Wang

Diffusion magnetic resonance imaging (dMRI) enables non-invasive investigation of tissue microstructure. The Standard Model (SM) of white matter aims to disentangle dMRI signal contributions from intra- and extra-axonal water compartments.…

Image and Video Processing · Electrical Eng. & Systems 2026-04-15 Tom Hendriks , Gerrit Arends , Edwin Versteeg , Anna Vilanova , Maxime Chamberland , Chantal M. W. Tax

Surface extraction from implicit neural representations modelling a single class surface is a well-known task. However, there exist no surface extraction methods from an implicit representation of multiple classes that guarantee topological…

Machine Learning · Computer Science 2026-02-19 Jash Vira , Andrew Myers , Simon Ratcliffe
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