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We present a novel differentiable grid-based representation for efficiently solving differential equations (DEs). Widely used architectures for neural solvers, such as sinusoidal neural networks, are coordinate-based MLPs that are both…

Machine Learning · Computer Science 2026-01-16 Navami Kairanda , Shanthika Naik , Marc Habermann , Avinash Sharma , Christian Theobalt , Vladislav Golyanik

Implicit Neural Representations (INRs) have been demonstrated to achieve state-of-the-art compression of a broad range of modalities such as images, videos, 3D surfaces, and audio. Most studies have focused on building neural counterparts…

Computational Geometry · Computer Science 2025-12-19 Sai Karthikey Pentapati , Gregoire Phillips , Alan Bovik

Neural radiance-density field methods have become increasingly popular for the task of novel-view rendering. Their recent extension to hash-based positional encoding ensures fast training and inference with visually pleasing results.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Radu Alexandru Rosu , Sven Behnke

Spatial networks are networks whose graph topology is constrained by their embedded spatial space. Understanding the coupled spatial-graph properties is crucial for extracting powerful representations from spatial networks. Therefore,…

Machine Learning · Computer Science 2024-01-11 Zheng Zhang , Sirui Li , Jingcheng Zhou , Junxiang Wang , Abhinav Angirekula , Allen Zhang , Liang Zhao

Implicit neural representation, which expresses an image as a continuous function rather than a discrete grid form, is widely used for image processing. Despite its outperforming results, there are still remaining limitations on restoring…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Wonjoon Chang , Dahee Kwon , Bumjin Park

This paper presents MetricGrids, a novel grid-based neural representation that combines elementary metric grids in various metric spaces to approximate complex nonlinear signals. While grid-based representations are widely adopted for their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Shu Wang , Yanbo Gao , Shuai Li , Chong Lv , Xun Cai , Chuankun Li , Hui Yuan , Jinglin Zhang

Geometric Deep Learning has recently made striking progress with the advent of continuous deep implicit fields. They allow for detailed modeling of watertight surfaces of arbitrary topology while not relying on a 3D Euclidean grid,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Benoit Guillard , Edoardo Remelli , Artem Lukoianov , Stephan R. Richter , Timur Bagautdinov , Pierre Baque , Pascal Fua

Surface meshes are widely used shape representations and capture finer geometry data than point clouds or volumetric grids, but are challenging to apply CNNs directly due to their non-Euclidean structure. We use parallel frames on surface…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Yuqi Yang , Shilin Liu , Hao Pan , Yang Liu , Xin Tong

Presenting a 3D scene from multiview images remains a core and long-standing challenge in computer vision and computer graphics. Two main requirements lie in rendering and reconstruction. Notably, SOTA rendering quality is usually achieved…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Mulin Yu , Tao Lu , Linning Xu , Lihan Jiang , Yuanbo Xiangli , Bo Dai

Template 3D shapes are useful for many tasks in graphics and vision, including fitting observation data, analyzing shape collections, and transferring shape attributes. Because of the variety of geometry and topology of real-world shapes,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Kyle Genova , Forrester Cole , Daniel Vlasic , Aaron Sarna , William T. Freeman , Thomas Funkhouser

Recent studies have shown remarkable progress in GANs based on implicit neural representation (INR) - an MLP that produces an RGB value given its (x, y) coordinate. They represent an image as a continuous version of the underlying 2D signal…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Namwoo Lee , Hyunsu Kim , Gayoung Lee , Sungjoo Yoo , Yunjey Choi

Encoding 3D points is one of the primary steps in learning-based implicit scene representation. Using features that gather information from neighbors with multi-resolution grids has proven to be the best geometric encoder for this task.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Arihant Gaur , G. Dias Pais , Pedro Miraldo

The reconstruction of indoor scenes from multi-view RGB images is challenging due to the coexistence of flat and texture-less regions alongside delicate and fine-grained regions. Recent methods leverage neural radiance fields aided by…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Sheng Ye , Yubin Hu , Matthieu Lin , Yu-Hui Wen , Wang Zhao , Yong-Jin Liu , Wenping Wang

Meshes are ubiquitous in visual computing and simulation, yet most existing machine learning techniques represent meshes only indirectly, e.g. as the level set of a scalar field or deformation of a template, or as a disordered triangle soup…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Tianchang Shen , Zhaoshuo Li , Marc Law , Matan Atzmon , Sanja Fidler , James Lucas , Jun Gao , Nicholas Sharp

We propose a novel and efficient representation for single-view depth estimation using Convolutional Neural Networks (CNNs). Point-cloud is generally used for CNN-based 3D scene reconstruction; however it has some drawbacks: (1) it is…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Masaya Kaneko , Ken Sakurada , Kiyoharu Aizawa

In modern computer vision, the optimal representation of 3D shape continues to be task-dependent. One fundamental operation applied to such representations is differentiable rendering, as it enables inverse graphics approaches in learning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

Neural shape representation generally refers to representing 3D geometry using neural networks, e.g., computing a signed distance or occupancy value at a specific spatial position. In this paper we present a neural-network architecture…

Machine Learning · Computer Science 2024-08-22 Stefan Rhys Jeske , Jonathan Klein , Dominik L. Michels , Jan Bender

Shape implicit neural representations (INRs) have recently shown to be effective in shape analysis and reconstruction tasks. Existing INRs require point coordinates to learn the implicit level sets of the shape. When a normal vector is…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Yizhak Ben-Shabat , Chamin Hewa Koneputugodage , Stephen Gould

We introduce a novel approach for rendering static and dynamic 3D neural signed distance functions (SDF) in real-time. We rely on nested neighborhoods of zero-level sets of neural SDFs, and mappings between them. This framework supports…

Graphics · Computer Science 2022-12-08 Vinícius da Silva , Tiago Novello , Guilherme Schardong , Luiz Schirmer , Hélio Lopes , Luiz Velho

Recent studies have shown that aggregating convolutional features of a pre-trained Convolutional Neural Network (CNN) can obtain impressive performance for a variety of visual tasks. The symmetric Positive Definite (SPD) matrix becomes a…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Zhi Gao , Yuwei Wu , Xingyuan Bu , Yunde Jia
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