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We present a novel approach that integrates unfitted finite element methods and neural networks to approximate partial differential equations on complex geometries. Easy-to-generate background meshes (e.g., a simple Cartesian mesh) that cut…

Numerical Analysis · Mathematics 2025-12-04 Wei Li , Alberto F. Martín , Santiago Badia

Parametric feature grid encodings have gained significant attention as an encoding approach for neural fields since they allow for much smaller MLPs, which significantly decreases the inference time of the models. In this work, we propose…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Mihir Mahajan , Florian Hofherr , Daniel Cremers

Obtaining personalized 3D animatable avatars from a monocular camera has several real world applications in gaming, virtual try-on, animation, and VR/XR, etc. However, it is very challenging to model dynamic and fine-grained clothing…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Yuxuan Xue , Bharat Lal Bhatnagar , Riccardo Marin , Nikolaos Sarafianos , Yuanlu Xu , Gerard Pons-Moll , Tony Tung

We propose a novel framework for representing neural fields on triangle meshes that is multi-resolution across both spatial and frequency domains. Inspired by the Neural Fourier Filter Bank (NFFB), our architecture decomposes the spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Avigail Cohen Rimon , Tal Shnitzer , Mirela Ben Chen

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional…

Astrophysics · Physics 2009-10-30 David L. Meier

Neural fields have emerged as a powerful representation for 3D geometry, enabling compact and continuous modeling of complex shapes. Despite their expressive power, manipulating neural fields in a controlled and accurate manner --…

Graphics · Computer Science 2025-09-30 Daniele Baieri , Filippo Maggioli , Emanuele Rodolà , Simone Melzi , Zorah Lähner

We study the problem of reconstructing 3D feature curves of an object from a set of calibrated multi-view images. To do so, we learn a neural implicit field representing the density distribution of 3D edges which we refer to as Neural Edge…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Yunfan Ye , Renjiao Yi , Zhirui Gao , Chenyang Zhu , Zhiping Cai , Kai Xu

The majority of descriptor-based methods for geometric processing of non-rigid shape rely on hand-crafted descriptors. Recently, learning-based techniques have been shown effective, achieving state-of-the-art results in a variety of tasks.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Zhangsihao Yang , Or Litany , Tolga Birdal , Srinath Sridhar , Leonidas Guibas

We present 2-D, 3-D, and spherical mesh generators for the Finite Element Method (FEM) using triangular and tetrahedral elements. The mesh nodes are treated as if they were linked by virtual springs that obey Hooke's law. Given the desired…

Computational Geometry · Computer Science 2017-11-20 J. M. Taramón , J. P. Morgan , C. Shi , J. Hasenclever

This paper introduces a novel framework called DTNet for 3D mesh reconstruction and generation via Disentangled Topology. Beyond previous works, we learn a topology-aware neural template specific to each input then deform the template to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Ka-Hei Hui , Ruihui Li , Jingyu Hu , Chi-Wing Fu

Existing pipelines of semantic correspondence commonly include extracting high-level semantic features for the invariance against intra-class variations and background clutters. This architecture, however, inevitably results in a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Sunghwan Hong , Jisu Nam , Seokju Cho , Susung Hong , Sangryul Jeon , Dongbo Min , Seungryong Kim

With the introduction of Neural Radiance Fields (NeRFs), novel view synthesis has recently made a big leap forward. At the core, NeRF proposes that each 3D point can emit radiance, allowing to conduct view synthesis using differentiable…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Marie-Julie Rakotosaona , Fabian Manhardt , Diego Martin Arroyo , Michael Niemeyer , Abhijit Kundu , Federico Tombari

The success of neural fields for 3D vision tasks is now indisputable. Following this trend, several methods aiming for visual localization (e.g., SLAM) have been proposed to estimate distance or density fields using neural fields. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Itsuki Ueda , Yoshihiro Fukuhara , Hirokatsu Kataoka , Hiroaki Aizawa , Hidehiko Shishido , Itaru Kitahara

Neural Fields have emerged as a transformative approach for 3D scene representation in computer vision and robotics, enabling accurate inference of geometry, 3D semantics, and dynamics from posed 2D data. Leveraging differentiable…

Understanding 3D scenes is a crucial challenge in computer vision research with applications spanning multiple domains. Recent advancements in distilling 2D vision-language foundation models into neural fields, like NeRF and 3DGS, enable…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Zihan Gao , Lingling Li , Licheng Jiao , Fang Liu , Xu Liu , Wenping Ma , Yuwei Guo , Shuyuan Yang

We present NeSF, a method for producing 3D semantic fields from posed RGB images alone. In place of classical 3D representations, our method builds on recent work in implicit neural scene representations wherein 3D structure is captured by…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Suhani Vora , Noha Radwan , Klaus Greff , Henning Meyer , Kyle Genova , Mehdi S. M. Sajjadi , Etienne Pot , Andrea Tagliasacchi , Daniel Duckworth

We present Neural Kernel Fields: a novel method for reconstructing implicit 3D shapes based on a learned kernel ridge regression. Our technique achieves state-of-the-art results when reconstructing 3D objects and large scenes from sparse…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Francis Williams , Zan Gojcic , Sameh Khamis , Denis Zorin , Joan Bruna , Sanja Fidler , Or Litany

We present Factor Fields, a novel framework for modeling and representing signals. Factor Fields decomposes a signal into a product of factors, each represented by a classical or neural field representation which operates on transformed…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Anpei Chen , Zexiang Xu , Xinyue Wei , Siyu Tang , Hao Su , Andreas Geiger

We present a method for generating orthogonal quadrilateral meshes subject to user-defined feature alignment and sizing constraints. The approach relies on computing integrable orthogonal frame fields, whose symmetries are implicitly…

Computational Geometry · Computer Science 2026-04-07 Mattéo Couplet , Alexandre Chemin , David Bommes , Edward Chien

This paper introduces Neural Subdivision, a novel framework for data-driven coarse-to-fine geometry modeling. During inference, our method takes a coarse triangle mesh as input and recursively subdivides it to a finer geometry by applying…

Graphics · Computer Science 2020-05-06 Hsueh-Ti Derek Liu , Vladimir G. Kim , Siddhartha Chaudhuri , Noam Aigerman , Alec Jacobson