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Surface reconstruction is a fundamental problem in 3D graphics. In this paper, we propose a learning-based approach for implicit surface reconstruction from raw point clouds without normals. Our method is inspired by Gauss Lemma in…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Dong Xiao , Siyou Lin , Zuoqiang Shi , Bin Wang

Various SDF-based neural implicit surface reconstruction methods have been proposed recently, and have demonstrated remarkable modeling capabilities. However, due to the global nature and limited representation ability of a single network,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Leyuan Yang , Bailin Deng , Juyong Zhang

Neural implicit surfaces are a promising tool for geometry processing that represent a solid object as the zero level set of a neural network. Usually trained to approximate a signed distance function of the considered object, these methods…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Guillaume Coiffier , Louis Bethune

\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

We present a simple algorithm for differentiable rendering of surfaces represented by Signed Distance Fields (SDF), which makes it easy to integrate rendering into gradient-based optimization pipelines. To tackle visibility-related…

Graphics · Computer Science 2024-06-10 Zichen Wang , Xi Deng , Ziyi Zhang , Wenzel Jakob , Steve Marschner

Recent works on implicit neural representations have shown promising results for multi-view surface reconstruction. However, most approaches are limited to relatively simple geometries and usually require clean object masks for…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Jingyang Zhang , Yao Yao , Long Quan

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

We suggest a finite element method for computing minimal surfaces based on computing a discrete Laplace-Beltrami operator operating on the coordinates of the surface. The surface is a discrete representation of the zero level set of a…

Numerical Analysis · Mathematics 2014-03-17 Mirza Cenanovic , Peter Hansbo , Mats G. Larson

This paper presents a neural incremental Structure-from-Motion (SfM) approach, Level-S$^2$fM, which estimates the camera poses and scene geometry from a set of uncalibrated images by learning coordinate MLPs for the implicit surfaces and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Yuxi Xiao , Nan Xue , Tianfu Wu , Gui-Song Xia

We introduce a numerical method for reconstructing a multidimensional surface using the gradient of the surface measured at some values of the coordinates. The method consists of defining a multidimensional spline function and minimizing…

Computational Physics · Physics 2015-05-20 Gergely Endrodi

Neural implicit surface reconstruction using volume rendering techniques has recently achieved significant advancements in creating high-fidelity surfaces from multiple 2D images. However, current methods primarily target scenes with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Lintao Xiang , Hongpei Zheng , Bailin Deng , Hujun Yin

Hybrid methods for simulating rarefied gas flows reduce computational cost by coupling a particle-based model, typically the direct simulation Monte Carlo (DSMC) method, to a continuum-based solver, i.e. a computational fluid dynamics (CFD)…

Fluid Dynamics · Physics 2026-04-28 Arshad Kamal , Arun K. Chinnappan , James R. Kermode , Duncan A. Lockerby

This study addresses the challenge of ensuring safe spacecraft proximity operations, focusing on collision avoidance between a chaser spacecraft and a complex-geometry target spacecraft under disturbances. To ensure safety in such…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Hang Zhou , Tao Meng , Kun Wang , Chengrui Shi , Renhao Mao , Weijia Wang , Jiakun Lei

Multi-view shape reconstruction has achieved impressive progresses thanks to the latest advances in neural implicit surface rendering. However, existing methods based on signed distance function (SDF) are limited to closed surfaces, failing…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Yu-Tao Liu , Li Wang , Jie yang , Weikai Chen , Xiaoxu Meng , Bo Yang , Lin Gao

Dense reconstruction and differentiable rendering are fundamental tightly connected operations in 3D vision and computer graphics. Recent neural implicit representations demonstrate compelling advantages in reconstruction fidelity and…

Robotics · Computer Science 2026-05-25 Zhirui Dai , Hojoon Shin , Yulun Tian , Ki Myung Brian Lee , Nikolay Atanasov

We propose a level-set-based semi-Lagrangian method on graded adaptive Cartesian grids to address the problem of surface reconstruction from point clouds. The goal is to obtain an implicit, high-quality representation of real shapes that…

Numerical Analysis · Mathematics 2026-03-26 Silvia Preda , Matteo Semplice

We present a novel neural surface reconstruction method, called NeuS, for reconstructing objects and scenes with high fidelity from 2D image inputs. Existing neural surface reconstruction approaches, such as DVR and IDR, require foreground…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Peng Wang , Lingjie Liu , Yuan Liu , Christian Theobalt , Taku Komura , Wenping Wang

We introduce a neural implicit framework that exploits the differentiable properties of neural networks and the discrete geometry of point-sampled surfaces to approximate them as the level sets of neural implicit functions. To train a…

Graphics · Computer Science 2024-03-07 Tiago Novello , Guilherme Schardong , Luiz Schirmer , Vinicius da Silva , Helio Lopes , Luiz Velho

We propose a fast and accurate surface reconstruction algorithm for unorganized point clouds using an implicit representation. Recent learning methods are either single-object representations with small neural models that allow for high…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Siddhant Ranade , Gonçalo Dias Pais , Ross Tyler Whitaker , Jacinto C. Nascimento , Pedro Miraldo , Srikumar Ramalingam

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