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The inverse design of metamaterial architectures presents a significant challenge, particularly for nonlinear mechanical properties involving large deformations, buckling, contact, and plasticity. Traditional methods, such as gradient-based…

Computational Physics · Physics 2025-05-29 Qibang Liu , Seid Koric , Diab Abueidda , Hadi Meidani , Philippe Geubelle

In recent years, neural signed distance function (SDF) has become one of the most effective representation methods for 3D models. By learning continuous SDFs in 3D space, neural networks can predict the distance from a given query space…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Yuanzhan Li , Yuqi Liu , Yujie Lu , Siyu Zhang , Shen Cai , Yanting Zhang

\textit{Implicit neural representations} (INRs) have emerged as a promising framework for representing signals in low-dimensional spaces. This survey reviews the existing literature on the specialized INR problem of approximating…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Luiz Schirmer , Tiago Novello , Vinícius da Silva , Guilherme Schardong , Daniel Perazzo , Hélio Lopes , Nuno Gonçalves , Luiz Velho

Computer graphics, 3D computer vision and robotics communities have produced multiple approaches to representing 3D geometry for rendering and reconstruction. These provide trade-offs across fidelity, efficiency and compression…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Jeong Joon Park , Peter Florence , Julian Straub , Richard Newcombe , Steven Lovegrove

Scene and object reconstruction is an important problem in robotics, in particular in planning collision-free trajectories or in object manipulation. This paper compares two strategies for the reconstruction of nonvisible parts of the…

Robotics · Computer Science 2025-01-28 Rafał Staszak , Piotr Michałek , Jakub Chudziński , Marek Kopicki , Dominik Belter

We propose a novel method for reconstructing explicit parameterized surfaces from Signed Distance Fields (SDFs), a widely used implicit neural representation (INR) for 3D surfaces. While traditional reconstruction methods like Marching…

Graphics · Computer Science 2024-10-07 Haotian Yin , Przemyslaw Musialski

Implicit representations have been widely applied in robotics for obstacle avoidance and path planning. In this paper, we explore the problem of constructing an implicit distance representation from a single image. Past methods for implicit…

Robotics · Computer Science 2026-03-13 Wei-Teng Chu , Tianyi Zhang , Matthew Johnson-Roberson , Weiming Zhi

High fidelity representation of shapes with arbitrary topology is an important problem for a variety of vision and graphics applications. Owing to their limited resolution, classical discrete shape representations using point clouds, voxels…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Rahul Venkatesh , Sarthak Sharma , Aurobrata Ghosh , Laszlo Jeni , Maneesh Singh

Recent progress in neural implicit functions has set new state-of-the-art in reconstructing high-fidelity 3D shapes from a collection of images. However, these approaches are limited to closed surfaces as they require the surface to be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Xiaoxu Meng , Weikai Chen , Bo Yang

Surface reconstruction from multi-view images is a core challenge in 3D vision. Recent studies have explored signed distance fields (SDF) within Neural Radiance Fields (NeRF) to achieve high-fidelity surface reconstructions. However, these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Baixin Xu , Jiangbei Hu , Jiaze Li , Ying He

Neural radiance fields (NeRF) have driven impressive progress in view synthesis by using ray-traced volumetric rendering. Splatting-based methods such as 3D Gaussian Splatting (3DGS) provide faster rendering by rasterizing 3D primitives.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Antonella Rech , Nicola Conci , Nicola Garau

Signed Distance Functions (SDFs) are vital implicit representations to represent high fidelity 3D surfaces. Current methods mainly leverage a neural network to learn an SDF from various supervisions including signed distances, 3D point…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Chao Chen , Yu-Shen Liu , Zhizhong Han

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

Recent works on 3D reconstruction from posed images have demonstrated that direct inference of scene-level 3D geometry without test-time optimization is feasible using deep neural networks, showing remarkable promise and high efficiency.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Noah Stier , Anurag Ranjan , Alex Colburn , Yajie Yan , Liang Yang , Fangchang Ma , Baptiste Angles

Recent advances in computer graphics and computer vision have found successful application of deep neural network models for 3D shapes based on signed distance functions (SDFs) that are useful for shape representation, retrieval, and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Oladapo Afolabi , Allen Y. Yang , S. Shankar Sastry

Probabilistic diffusion models have achieved state-of-the-art results for image synthesis, inpainting, and text-to-image tasks. However, they are still in the early stages of generating complex 3D shapes. This work proposes Diffusion-SDF, a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Gene Chou , Yuval Bahat , Felix Heide

Implicit Neural Representations have gained prominence as a powerful framework for capturing complex data modalities, encompassing a wide range from 3D shapes to images and audio. Within the realm of 3D shape representation, Neural Signed…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Amine Ouasfi , Adnane Boukhayma

We present iSDF, a continual learning system for real-time signed distance field (SDF) reconstruction. Given a stream of posed depth images from a moving camera, it trains a randomly initialised neural network to map input 3D coordinate to…

In the field of computer vision, the numerical encoding of 3D surfaces is crucial. It is classical to represent surfaces with their Signed Distance Functions (SDFs) or Unsigned Distance Functions (UDFs). For tasks like representation…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Virgile Foy , Fabrice Gamboa , Reda Chhaibi

We introduce a new implicit shape representation called Primary Ray-based Implicit Function (PRIF). In contrast to most existing approaches based on the signed distance function (SDF) which handles spatial locations, our representation…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Brandon Yushan Feng , Yinda Zhang , Danhang Tang , Ruofei Du , Amitabh Varshney