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Delaunay Triangulation(DT) is one of the important geometric problems that is used in various branches of knowledge such as computer vision, terrain modeling, spatial clustering and networking. Kinetic data structures have become very…

Computational Geometry · Computer Science 2023-08-15 Nazanin Hadiniya , Mohammad Ghodsi

Urban reconstruction from a video captured by a surveying vehicle constitutes a core module of automated mapping. When computational power represents a limited resource and, a detailed map is not the primary goal, the reconstruction can be…

Computer Vision and Pattern Recognition · Computer Science 2016-04-28 Andrea Romanoni , Matteo Matteucci

In this paper we propose a new approach to incrementally initialize a manifold surface for automatic 3D reconstruction from images. More precisely we focus on the automatic initialization of a 3D mesh as close as possible to the final…

Computer Vision and Pattern Recognition · Computer Science 2016-04-22 Andrea Romanoni , Amaël Delaunoy , Marc Pollefeys , Matteo Matteucci

We propose a new data structure to compute the Delaunay triangulation of a set of points in the plane. It combines good worst case complexity, fast behavior on real data, and small memory occupation. The location structure is organized into…

Computational Geometry · Computer Science 2007-05-23 Olivier Devillers

Three-dimensional (3D) point cloud analysis has become one of the attractive subjects in realistic imaging and machine visions due to its simplicity, flexibility and powerful capacity of visualization. Actually, the representation of scenes…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Omar Elharrouss , Kawther Hassine , Ayman Zayyan , Zakariyae Chatri , Noor almaadeed , Somaya Al-Maadeed , Khalid Abualsaud

Despite significant progress in image-based 3D scene flow estimation, the performance of such approaches has not yet reached the fidelity required by many applications. Simultaneously, these applications are often not restricted to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Aseem Behl , Despoina Paschalidou , Simon Donné , Andreas Geiger

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

In Robotics, especially in this era of autonomous driving, mapping is one key ability of a robot to be able to navigate through an environment, localize on it and analyze its traversability. To allow for real-time execution on constrained…

Robotics · Computer Science 2018-01-17 Enrico Piazza , Andrea Romanoni , Matteo Matteucci

DUSt3R has recently shown that one can reduce many tasks in multi-view geometry, including estimating camera intrinsics and extrinsics, reconstructing the scene in 3D, and establishing image correspondences, to the prediction of a pair of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Edgar Sucar , Zihang Lai , Eldar Insafutdinov , Andrea Vedaldi

We present a method for reconstructing triangle meshes from point clouds. Existing learning-based methods for mesh reconstruction mostly generate triangles individually, making it hard to create manifold meshes. We leverage the properties…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Marie-Julie Rakotosaona , Paul Guerrero , Noam Aigerman , Niloy Mitra , Maks Ovsjanikov

In this paper we present a scalable approach for robustly computing a 3D surface mesh from multi-scale multi-view stereo point clouds that can handle extreme jumps of point density (in our experiments three orders of magnitude). The…

Computer Vision and Pattern Recognition · Computer Science 2017-05-03 Christian Mostegel , Rudolf Prettenthaler , Friedrich Fraundorfer , Horst Bischof

Current methods for dense 3D point tracking in dynamic scenes typically rely on pairwise processing, require known camera poses, or assume temporal ordering of input frames, thereby constraining their flexibility and applicability.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Vivek Alumootil , Tuan-Anh Vu

Object reconstruction is an important task in many fields of application as it allows to generate digital representations of our physical world used as base for analysis, planning, construction, visualization or other aims. A reconstruction…

We describe the implementation of algorithms to construct and maintain three-dimensional dynamic Delaunay triangulations with kinetic vertices using a three-simplex data structure. The code is capable of constructing the geometric dual, the…

Biological Physics · Physics 2008-08-28 Gernot Schaller , Michael Meyer-Hermann

We study the joint image of lines incident to points, meaning the set of image tuples obtained from fixed cameras observing a varying 3D point-line incidence. We prove a formula for the number of complex critical points of the triangulation…

Algebraic Geometry · Mathematics 2023-11-10 Felix Rydell , Elima Shehu , Angelica Torres

Semantic scene reconstruction from point cloud is an essential and challenging task for 3D scene understanding. This task requires not only to recognize each instance in the scene, but also to recover their geometries based on the partial…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Jiaxiang Tang , Xiaokang Chen , Jingbo Wang , Gang Zeng

Autonomous vehicles operate in highly dynamic environments necessitating an accurate assessment of which aspects of a scene are moving and where they are moving to. A popular approach to 3D motion estimation, termed scene flow, is to employ…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Philipp Jund , Chris Sweeney , Nichola Abdo , Zhifeng Chen , Jonathon Shlens

3D motion estimation including scene flow and point cloud registration has drawn increasing interest. Inspired by 2D flow estimation, recent methods employ deep neural networks to construct the cost volume for estimating accurate 3D flow.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 Xiaodong Gu , Chengzhou Tang , Weihao Yuan , Zuozhuo Dai , Siyu Zhu , Ping Tan

We introduce a novel learning-based, visibility-aware, surface reconstruction method for large-scale, defect-laden point clouds. Our approach can cope with the scale and variety of point cloud defects encountered in real-life Multi-View…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Raphael Sulzer , Loic Landrieu , Renaud Marlet , Bruno Vallet

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
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