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Delaunay flip is an elegant, simple tool to convert a triangulation of a point set to its Delaunay triangulation. The technique has been researched extensively for full dimensional triangulations of point sets. However, an important case of…

Computational Geometry · Computer Science 2007-12-13 Siu-Wing Cheng , Tamal K. Dey

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

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

Generative models that produce point clouds have emerged as a powerful tool to represent 3D surfaces, and the best current ones rely on learning an ensemble of parametric representations. Unfortunately, they offer no control over the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Jan Bednarik , Shaifali Parashar , Erhan Gundogdu , Mathieu Salzmann , Pascal Fua

The generation of triangle meshes from point clouds, i.e. meshing, is a core task in computer graphics and computer vision. Traditional techniques directly construct a surface mesh using local decision heuristics, while some recent methods…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Mathias Vetsch , Sandro Lombardi , Marc Pollefeys , Martin R. Oswald

In this paper, we address the problem of reconstructing an object's surface from a single image using generative networks. First, we represent a 3D surface with an aggregation of dense point clouds from multiple views. Each point cloud is…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Jinglu Wang , Bo Sun , Yan Lu

This paper explores the problem of reconstructing temporally consistent surfaces from a 3D point cloud sequence without correspondence. To address this challenging task, we propose DynoSurf, an unsupervised learning framework integrating a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Yuxin Yao , Siyu Ren , Junhui Hou , Zhi Deng , Juyong Zhang , Wenping Wang

Reconstruction of a continuous surface of two-dimensional manifold from its raw, discrete point cloud observation is a long-standing problem. The problem is technically ill-posed, and becomes more difficult considering that various sensing…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Zhangjin Huang , Yuxin Wen , Zihao Wang , Jinjuan Ren , Kui Jia

Recent years have seen the development of mature solutions for reconstructing deformable surfaces from a single image, provided that they are relatively well-textured. By contrast, recovering the 3D shape of texture-less surfaces remains an…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Jan Bednařík , Pascal Fua , Mathieu Salzmann

We propose an end-to-end deep learning architecture that produces a 3D shape in triangular mesh from a single color image. Limited by the nature of deep neural network, previous methods usually represent a 3D shape in volume or point cloud,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-06 Nanyang Wang , Yinda Zhang , Zhuwen Li , Yanwei Fu , Wei Liu , Yu-Gang Jiang

In computer graphics, smooth data reconstruction on 2D or 3D manifolds usually refers to subdivision problems. Such a method is only valid based on dense sample points. The manifold usually needs to be triangulated into meshes (or patches)…

Numerical Analysis · Mathematics 2011-05-30 Li Chen , Feng Luo

Reconstructing the 3D mesh of a general object from a single image is now possible thanks to the latest advances of deep learning technologies. However, due to the nontrivial difficulty of generating a feasible mesh structure, the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Junyi Pan , Xiaoguang Han , Weikai Chen , Jiapeng Tang , Kui Jia

The reconstruction of real-world surfaces is on high demand in various applications. Most existing reconstruction approaches apply 3D scanners for creating point clouds which are generally sparse and of low density. These points clouds will…

Computer Vision and Pattern Recognition · Computer Science 2021-03-01 Rajat Sharma , Tobias Schwandt , Christian Kunert , Steffen Urban , Wolfgang Broll

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

Reconstructing 3D non-watertight mesh from an unoriented point cloud is an unexplored area in computer vision and computer graphics. In this project, we tried to tackle this problem by extending the learning-based watertight mesh…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Partha Ghosh

We investigate the problem of learning to generate 3D parametric surface representations for novel object instances, as seen from one or more views. Previous work on learning shape reconstruction from multiple views uses discrete…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Jiahui Lei , Srinath Sridhar , Paul Guerrero , Minhyuk Sung , Niloy Mitra , Leonidas J. Guibas

In the following article we discuss Delaunay triangulations for a point cloud on an embedded surface in $\mathbb{R}^3$. We give sufficient conditions on the point cloud to show that the diagonal switch algorithm finds an embedded Delaunay…

Geometric Topology · Mathematics 2020-05-14 Franco Vargas Pallete

We present a learning-based method, namely GeoUDF,to tackle the long-standing and challenging problem of reconstructing a discrete surface from a sparse point cloud.To be specific, we propose a geometry-guided learning method for UDF and…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Siyu Ren , Junhui Hou , Xiaodong Chen , Ying He , Wenping Wang

We propose a novel deep reinforcement learning-based approach for 3D object reconstruction from monocular images. Prior works that use mesh representations are template based. Thus, they are limited to the reconstruction of objects that…

Computer Vision and Pattern Recognition · Computer Science 2021-09-27 Tarek Ben Charrada , Hedi Tabia , Aladine Chetouani , Hamid Laga

As incremental Structure from Motion algorithms become effective, a good sparse point cloud representing the map of the scene becomes available frame-by-frame. From the 3D Delaunay triangulation of these points, state-of-the-art algorithms…

Computer Vision and Pattern Recognition · Computer Science 2015-07-21 Andrea Romanoni , Matteo Matteucci