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We introduce a neural-preconditioned iterative solver for Poisson equations with mixed boundary conditions. Typical Poisson discretizations yield large, ill-conditioned linear systems. Iterative solvers can be effective for these problems,…

Numerical Analysis · Mathematics 2025-12-16 Kai Weixian Lan , Elias Gueidon , Ayano Kaneda , Julian Panetta , Joseph Teran

Implicit neural representations (INRs) have emerged as a promising approach for video storage and processing, showing remarkable versatility across various video tasks. However, existing methods often fail to fully leverage their…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Xinjie Zhang , Ren Yang , Dailan He , Xingtong Ge , Tongda Xu , Yan Wang , Hongwei Qin , Jun Zhang

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

The resolution of the Poisson equation is usually one of the most computationally intensive steps for incompressible fluid solvers. Lately, Deep Learning, and especially Convolutional Neural Networks (CNN), has been introduced to solve this…

Fluid Dynamics · Physics 2021-09-24 Ekhi Ajuria Illarramendi , Michaël Bauerheim , Bénédicte Cuenot

Rendering diffuse global illumination in real-time is often approximated by pre-computing and storing irradiance in a 3D grid of probes. As long as most of the scene remains static, probes approximate irradiance for all surfaces immersed in…

Implicit Neural Representation (INR) has been emerging in computer vision in recent years. It has been shown to be effective in parameterising continuous signals such as dense 3D models from discrete image data, e.g. the neural radius field…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Wentian Xu , Jianbo Jiao

We propose a framework for aligning and fusing multiple images into a single view using neural image representations (NIRs), also known as implicit or coordinate-based neural representations. Our framework targets burst images that exhibit…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Seonghyeon Nam , Marcus A. Brubaker , Michael S. Brown

Implicit Neural Representations (INRs) encoding continuous multi-media data via multi-layer perceptrons has shown undebatable promise in various computer vision tasks. Despite many successful applications, editing and processing an INR…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Dejia Xu , Peihao Wang , Yifan Jiang , Zhiwen Fan , Zhangyang Wang

Implicit neural representations (INRs) are a powerful paradigm for modeling data, offering a continuous alternative to discrete signal representations. Their ability to compactly encode complex signals has led to strong performance in many…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Pandula Thennakoon , Avishka Ranasinghe , Mario De Silva , Buwaneka Epakanda , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

Implicit Neural Representations (INRs) have revolutionized signal representation by leveraging neural networks to provide continuous and smooth representations of complex data. However, existing INRs face limitations in capturing…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Amirhossein Kazerouni , Reza Azad , Alireza Hosseini , Dorit Merhof , Ulas Bagci

Implicit neural representation (INR) has proven to be accurate and efficient in various domains. In this work, we explore how different neural networks can be designed as a new texture INR, which operates in a continuous manner rather than…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Albert Kwok , Zheyuan Hu , Dounia Hammou

Implicit Neural Representations (INRs) are increasingly recognized as a versatile data modality for representing discretized signals, offering benefits such as infinite query resolution and reduced storage requirements. Existing signal…

Machine Learning · Computer Science 2025-03-26 Dhananjaya Jayasundara , Sudarshan Rajagopalan , Yasiru Ranasinghe , Trac D. Tran , Vishal M. Patel

Implicit Neural Representations (INRs) aim to parameterize discrete signals through implicit continuous functions. However, formulating each image with a separate neural network~(typically, a Multi-Layer Perceptron (MLP)) leads to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Wenyong Zhou , Taiqiang Wu , Zhengwu Liu , Yuxin Cheng , Chen Zhang , Ngai Wong

Implicit Neural Representations (INRs) parameterize continuous signals via multilayer perceptrons (MLPs), enabling compact, resolution-independent modeling for tasks like image, audio, and 3D reconstruction. However, fitting high-resolution…

Machine Learning · Computer Science 2026-02-26 Chen Zhang , Wei Zuo , Bingyang Cheng , Yikun Wang , Wei-Bin Kou , Yik Chung WU , Ngai Wong

Physics-Informed Neural Networks have become a powerful mesh-free method for solving partial differential equations, but their performance is often limited by spectral bias. Specifically, in standard MLPs used in PINNs, the global parameter…

Machine Learning · Computer Science 2026-05-04 Jianfeng Li , Feng Wang , Ke Tang

Implicit neural representation (INR) characterizes the attributes of a signal as a function of corresponding coordinates which emerges as a sharp weapon for solving inverse problems. However, the expressive power of INR is limited by the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Hao Zhu , Shaowen Xie , Zhen Liu , Fengyi Liu , Qi Zhang , You Zhou , Yi Lin , Zhan Ma , Xun Cao

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

Implicit Neural Representation (INR), which utilizes a neural network to map coordinate inputs to corresponding attributes, is causing a revolution in the field of signal processing. However, current INR techniques suffer from the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Hao Zhu , Zhen Liu , Qi Zhang , Jingde Fu , Weibing Deng , Zhan Ma , Yanwen Guo , Xun Cao

Implicit Neural Representations (INRs) have emerged as a transformative paradigm in signal processing and computer vision, excelling in tasks from image reconstruction to 3D shape modeling. Yet their effectiveness is fundamentally limited…

Machine Learning · Computer Science 2025-09-30 Sipeng Chen , Yan Zhang , Shibo Li

The integration of surface normals for the purpose of computing the shape of a surface in 3D space is a classic problem in computer vision. However, even nowadays it is still a challenging task to devise a method that combines the…

Numerical Analysis · Computer Science 2016-10-20 Martin Bähr , Michael Breuß , Yvain Quéau , Ali Sharifi Boroujerdi , Jean-Denis Durou