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Accurate surface geometry representation is crucial in 3D visual computing. Explicit representations, such as polygonal meshes, and implicit representations, like signed distance functions, each have distinct advantages, making efficient…

Graphics · Computer Science 2025-09-26 Christian Stippel , Felix Mujkanovic , Thomas Leimkühler , Pedro Hermosilla

We introduce Neural Marching Cubes (NMC), a data-driven approach for extracting a triangle mesh from a discretized implicit field. Classical MC is defined by coarse tessellation templates isolated to individual cubes. While more refined…

Graphics · Computer Science 2021-09-14 Zhiqin Chen , Hao Zhang

Visualization of implicit surfaces is an actively researched topic. While raytracing can produce high quality images, it is not well suited for creating a quick preview of the surface. Indirect algorithms (e.g. Marching Cubes) create an…

Graphics · Computer Science 2022-04-14 Ágostons Sipos , Péter Salvi

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

Triangle meshes remain the most popular data representation for surface geometry. This ubiquitous representation is essentially a hybrid one that decouples continuous vertex locations from the discrete topological triangulation.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Marie-Julie Rakotosaona , Noam Aigerman , Niloy Mitra , Maks Ovsjanikov , Paul Guerrero

We are interested in reconstructing the mesh representation of object surfaces from point clouds. Surface reconstruction is a prerequisite for downstream applications such as rendering, collision avoidance for planning, animation, etc.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Minghua Liu , Xiaoshuai Zhang , Hao Su

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

Recent probabilistic methods for 3D triangular meshes capture diverse shapes by differentiable mesh connectivity, but face high computational costs with increased shape details. We introduce a new differentiable mesh processing method that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Matthew Fisher , Zexiang Xu , Yi-Ling Qiao , Ming C. Lin , Yi Zhou

Very recently neural implicit rendering techniques have been rapidly evolved and shown great advantages in novel view synthesis and 3D scene reconstruction. However, existing neural rendering methods for editing purposes offer limited…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Bangbang Yang , Chong Bao , Junyi Zeng , Hujun Bao , Yinda Zhang , Zhaopeng Cui , Guofeng Zhang

We present a differentiable representation, DMesh, for general 3D triangular meshes. DMesh considers both the geometry and connectivity information of a mesh. In our design, we first get a set of convex tetrahedra that compactly tessellates…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Zexiang Xu , Ming C. Lin , Yi Zhou

Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai

Learning-based 3D reconstruction methods have shown impressive results. However, most methods require 3D supervision which is often hard to obtain for real-world datasets. Recently, several works have proposed differentiable rendering…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Michael Niemeyer , Lars Mescheder , Michael Oechsle , Andreas Geiger

Neural implicit representations have become a popular choice for modeling surfaces due to their adaptability in resolution and support for complex topology. While previous works have achieved impressive reconstruction quality by training on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Lu Sang , Abhishek Saroha , Maolin Gao , Daniel Cremers

Deep generative models have shown success in generating 3D shapes with different representations. In this work, we propose Neural Volumetric Mesh Generator(NVMG) which can generate novel and high-quality volumetric meshes. Unlike the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Yan Zheng , Lemeng Wu , Xingchao Liu , Zhen Chen , Qiang Liu , Qixing Huang

We present a method for differentiable rendering of 3D surfaces that supports both explicit and implicit representations, provides derivatives at occlusion boundaries, and is fast and simple to implement. The method first samples the…

Graphics · Computer Science 2021-08-12 Forrester Cole , Kyle Genova , Avneesh Sud , Daniel Vlasic , Zhoutong Zhang

Neural Radiance Fields (NeRF) have constituted a remarkable breakthrough in image-based 3D reconstruction. However, their implicit volumetric representations differ significantly from the widely-adopted polygonal meshes and lack support…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Jiaxiang Tang , Hang Zhou , Xiaokang Chen , Tianshu Hu , Errui Ding , Jingdong Wang , Gang Zeng

Reconstruction of object or scene surfaces has tremendous applications in computer vision, computer graphics, and robotics. In this paper, we study a fundamental problem in this context about recovering a surface mesh from an implicit field…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jiabao Lei , Kui Jia , Yi Ma

Mesh generation is a crucial step in numerical simulations, significantly impacting simulation accuracy and efficiency. However, generating meshes remains time-consuming and requires expensive computational resources. In this paper, we…

Graphics · Computer Science 2024-07-03 Jiaming Peng , Xinhai Chen , Jie Liu

Point clouds and polygonal meshes are widely used when modeling real-world scenarios. Here, point clouds arise, for instance, from acquisition processes applied in various surroundings, such as reverse engineering, rapid prototyping, or…

Computational Geometry · Computer Science 2025-11-24 Henriette Lipschütz , Ulrich Reitebuch , Konrad Polthier , Martin Skrodzki

Recent research on learnable neural representations has been widely adopted in the field of 3D scene reconstruction and neural rendering applications. However, traditional feature grid representations often suffer from substantial memory…

Graphics · Computer Science 2026-04-30 Rui Su , Honghao Dong , Haojie Jin , Yisong Chen , Guoping Wang , Sheng Li
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