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We present a numerical framework for solving neural field equations on surfaces using Radial Basis Function (RBF) interpolation and quadrature. Neural field models describe the evolution of macroscopic brain activity, but modeling studies…

Numerical Analysis · Mathematics 2025-09-19 Sage B Shaw , Zachary P Kilpatrick , Daniele Avitabile

Neural Radiance Fields (NeRFs) have emerged as powerful tools for capturing detailed 3D scenes through continuous volumetric representations. Recent NeRFs utilize feature grids to improve rendering quality and speed; however, these…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Tuan Pham , Stephan Mandt

Purely MLP-based neural radiance fields (NeRF-based methods) often suffer from underfitting with blurred renderings on large-scale scenes due to limited model capacity. Recent approaches propose to geographically divide the scene and adopt…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Linning Xu , Yuanbo Xiangli , Sida Peng , Xingang Pan , Nanxuan Zhao , Christian Theobalt , Bo Dai , Dahua Lin

Neural Radiance Fields (NeRF) are able to reconstruct scenes with unprecedented fidelity, and various recent works have extended NeRF to handle dynamic scenes. A common approach to reconstruct such non-rigid scenes is through the use of a…

Computer Vision and Pattern Recognition · Computer Science 2021-09-13 Keunhong Park , Utkarsh Sinha , Peter Hedman , Jonathan T. Barron , Sofien Bouaziz , Dan B Goldman , Ricardo Martin-Brualla , Steven M. Seitz

Neural fields, a category of neural networks trained to represent high-frequency signals, have gained significant attention in recent years due to their impressive performance in modeling complex 3D data, such as signed distance (SDFs) or…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Marko Mihajlovic , Sergey Prokudin , Marc Pollefeys , Siyu Tang

This paper introduces a novel paradigm for the generalizable neural radiance field (NeRF). Previous generic NeRF methods combine multiview stereo techniques with image-based neural rendering for generalization, yielding impressive results,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Jiaxu Wang , Ziyi Zhang , Renjing Xu

Neural radiance fields (NeRF) have demonstrated the potential of coordinate-based neural representation (neural fields or implicit neural representation) in neural rendering. However, using a multi-layer perceptron (MLP) to represent a 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Daniel Rho , Byeonghyeon Lee , Seungtae Nam , Joo Chan Lee , Jong Hwan Ko , Eunbyung Park

Neural Radiance Fields (NeRFs) are a very recent and very popular approach for the problems of novel view synthesis and 3D reconstruction. A popular scene representation used by NeRFs is to combine a uniform, voxel-based subdivision of the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Jonas Kulhanek , Torsten Sattler

Neural Radiance Fields (NeRFs) learn to represent a 3D scene from just a set of registered images. Increasing sizes of a scene demands more complex functions, typically represented by neural networks, to capture all details. Training and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Tim Elsner , Victor Czech , Julia Berger , Zain Selman , Isaak Lim , Leif Kobbelt

Neural radiance fields (NeRFs) produce state-of-the-art view synthesis results. However, they are slow to render, requiring hundreds of network evaluations per pixel to approximate a volume rendering integral. Baking NeRFs into explicit…

Computer Vision and Pattern Recognition · Computer Science 2022-05-11 Benjamin Attal , Jia-Bin Huang , Michael Zollhoefer , Johannes Kopf , Changil Kim

We present neural radiance fields for rendering and temporal (4D) reconstruction of humans in motion (H-NeRF), as captured by a sparse set of cameras or even from a monocular video. Our approach combines ideas from neural scene…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Hongyi Xu , Thiemo Alldieck , Cristian Sminchisescu

3D reconstruction from images has wide applications in Virtual Reality and Automatic Driving, where the precision requirement is very high. Ground-breaking research in the neural radiance field (NeRF) by utilizing Multi-Layer Perceptions…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Jiaming Shen , Bolin Song , Zirui Wu , Yi Xu

Temporal interpolation often plays a crucial role to learn meaningful representations in dynamic scenes. In this paper, we propose a novel method to train spatiotemporal neural radiance fields of dynamic scenes based on temporal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Sungheon Park , Minjung Son , Seokhwan Jang , Young Chun Ahn , Ji-Yeon Kim , Nahyup Kang

We present a simple yet powerful neural network that implicitly represents and renders 3D objects and scenes only from 2D observations. The network models 3D geometries as a general radiance field, which takes a set of 2D images with camera…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Alex Trevithick , Bo Yang

We propose a Transformer-based NeRF (TransNeRF) to learn a generic neural radiance field conditioned on observed-view images for the novel view synthesis task. By contrast, existing MLP-based NeRFs are not able to directly receive observed…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Dan Wang , Xinrui Cui , Septimiu Salcudean , Z. Jane Wang

We present a novel method to provide efficient and highly detailed reconstructions. Inspired by wavelets, we learn a neural field that decompose the signal both spatially and frequency-wise. We follow the recent grid-based paradigm for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Zhijie Wu , Yuhe Jin , Kwang Moo Yi

Neural Radiance Fields (NeRF) is a popular view synthesis technique that represents a scene as a continuous volumetric function, parameterized by multilayer perceptrons that provide the volume density and view-dependent emitted radiance at…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Dor Verbin , Peter Hedman , Ben Mildenhall , Todd Zickler , Jonathan T. Barron , Pratul P. Srinivasan

Adopting Neural Radiance Fields (NeRF) to long-duration dynamic sequences has been challenging. Existing methods struggle to balance between quality and storage size and encounter difficulties with complex scene changes such as topological…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Minye Wu , Tinne Tuytelaars

Neural Radiance Fields (NeRF) have demonstrated exceptional capabilities in reconstructing complex scenes with high fidelity. However, NeRF's view dependency can only handle low-frequency reflections. It falls short when handling complex…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Chen Gao , Yipeng Wang , Changil Kim , Jia-Bin Huang , Johannes Kopf

Neural Radiance Fields (NeRFs) have emerged as a groundbreaking paradigm for representing 3D objects and scenes by encoding shape and appearance information into the weights of a neural network. Recent studies have demonstrated that these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Francesco Ballerini , Pierluigi Zama Ramirez , Luigi Di Stefano , Samuele Salti
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