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We introduce a translational and rotational invariant local representation for vector fields, which can be employed in the construction of machine-learning energy models of solids and molecules. This allows us to describe, on the same…

Materials Science · Physics 2022-08-09 Michelangelo Domina , Matteo Cobelli , Stefano Sanvito

This paper tackles the simultaneous optimization of pose and Neural Radiance Fields (NeRF). Departing from the conventional practice of using explicit global representations for camera pose, we propose a novel overparameterized…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Shin-Fang Chng , Ravi Garg , Hemanth Saratchandran , Simon Lucey

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Mahrokh Najaf , Gregory Ongie

We present a physics-enhanced implicit neural representation (INR) for ultrasound (US) imaging that learns tissue properties from overlapping US sweeps. Our proposed method leverages a ray-tracing-based neural rendering for novel view US…

Image and Video Processing · Electrical Eng. & Systems 2023-04-12 Magdalena Wysocki , Mohammad Farid Azampour , Christine Eilers , Benjamin Busam , Mehrdad Salehi , Nassir Navab

This paper addresses the challenge of Neural Field (NeF) generalization, where models must efficiently adapt to new signals given only a few observations. To tackle this, we propose Geometric Neural Process Fields (G-NPF), a probabilistic…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Wenzhe Yin , Zehao Xiao , Jiayi Shen , Yunlu Chen , Cees G. M. Snoek , Jan-Jakob Sonke , Efstratios Gavves

We propose to tackle the multiview photometric stereo problem using an extension of Neural Radiance Fields (NeRFs), conditioned on light source direction. The geometric part of our neural representation predicts surface normal direction,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Meghna Asthana , William A. P. Smith , Patrik Huber

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

Due to the ability to synthesize high-quality novel views, Neural Radiance Fields (NeRF) have been recently exploited to improve visual localization in a known environment. However, the existing methods mostly utilize NeRFs for data…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Boming Zhao , Luwei Yang , Mao Mao , Hujun Bao , Zhaopeng Cui

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

Fonts are ubiquitous across documents and come in a variety of styles. They are either represented in a native vector format or rasterized to produce fixed resolution images. In the first case, the non-standard representation prevents…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Pradyumna Reddy , Zhifei Zhang , Matthew Fisher , Hailin Jin , Zhaowen Wang , Niloy J. Mitra

Neural Radiance Field (NeRF) research has attracted significant attention recently, with 3D modelling, virtual/augmented reality, and visual effects driving its application. While current NeRF implementations can produce high quality visual…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Adrian Azzarelli , Nantheera Anantrasirichai , David R Bull

The phenomenon of implicit regularization has attracted interest in recent years as a fundamental aspect of the remarkable generalizing ability of neural networks. In a nutshell, it entails that gradient descent dynamics in many neural…

Machine Learning · Computer Science 2024-02-28 Hong T. M. Chu , Subhro Ghosh , Chi Thanh Lam , Soumendu Sundar Mukherjee

This paper addresses the problem of inverse rendering from photometric images. Existing approaches for this problem suffer from the effects of self-shadows, inter-reflections, and lack of constraints on the surface reflectance, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Jingzhi Bao , Guanying Chen , Shuguang Cui

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

Numerical Analysis · Mathematics 2020-06-09 Markus Haltmeier , Linh V. Nguyen

Inverse rendering aims to reconstruct the scene properties of objects solely from multiview images. However, it is an ill-posed problem prone to producing ambiguous estimations deviating from physically accurate representations. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Georgios Kouros , Minye Wu , Sushruth Nagesh , Xianling Zhang , Tinne Tuytelaars

Given its unchallenged capabilities in terms of sensitivity and spatial resolution, the combination of imaging spectropolarimetry and numeric Stokes inversion represents the dominant technique currently used to remotely sense the physical…

Instrumentation and Methods for Astrophysics · Physics 2019-11-05 Francisco A. Iglesias , Alex Feller

Solving the wave equation is one of the most (if not the most) fundamental problems we face as we try to illuminate the Earth using recorded seismic data. The Helmholtz equation provides wavefield solutions that are dimensionally reduced,…

Geophysics · Physics 2021-06-04 Tariq Alkhalifah , Chao Song , Umair bin Waheed , Qi Hao

Neural field methods have seen great progress in various long-standing tasks in computer vision and computer graphics, including novel view synthesis and geometry reconstruction. As existing neural field methods try to predict some…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Xindi Yang , Zeke Xie , Xiong Zhou , Boyu Liu , Buhua Liu , Yi Liu , Haoran Wang , Yunfeng Cai , Mingming Sun

Human brain activity is based on electrochemical processes, which can only be measured invasively. Therefore, quantities such as magnetic flux density (MEG) or electric potential differences (EEG) are measured non-invasively in medicine and…

Numerical Analysis · Mathematics 2022-07-27 Sarah Leweke , Olaf Hauk , Volker Michel

We study the effects of finite spectral resolution on the magnetic field values retrieved through the weak field approximation (WFA) from the cores of the Mg II h & k lines. The retrieval of the line-of-sight (LOS) component of the magnetic…

Solar and Stellar Astrophysics · Physics 2022-09-28 Rebecca Centeno , Matthias Rempel , Roberto Casini , Tanausu del Pino Aleman