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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

Consensus based optimization is a derivative-free particles-based method for the solution of global optimization problems. Several versions of the method have been proposed in the literature, and different convergence results have been…

Optimization and Control · Mathematics 2025-04-04 Stefania Bellavia , Greta Malaspina

One major challenge in 3D reconstruction is to infer the complete shape geometry from partial foreground occlusions. In this paper, we propose a method to reconstruct the complete 3D shape of an object from a single RGB image, with…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Chuhang Zou , Derek Hoiem

While three-dimensional (3D) building models play an increasingly pivotal role in many real-world applications, obtaining a compact representation of buildings remains an open problem. In this paper, we present a novel framework for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Zhaiyu Chen , Hugo Ledoux , Seyran Khademi , Liangliang Nan

This paper proposes a fast and accurate surface normal estimation method which can be directly used on depth maps (organized point clouds). The surface normal estimation process is formulated as a closed-form expression. In order to reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

3D dynamic point clouds provide a discrete representation of real-world objects or scenes in motion, which have been widely applied in immersive telepresence, autonomous driving, surveillance, etc. However, point clouds acquired from…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Qianjiang Hu , Wei Hu

In recent years new application areas have emerged in which one aims to capture the geometry of objects by means of three-dimensional point clouds. Often the obtained data consist of a dense sampling of the object's surface, containing many…

Numerical Analysis · Mathematics 2019-10-01 Daniel Tenbrinck , Fjedor Gaede , Martin Burger

Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point clouds. Such models often involve point clouds with noise…

Computational Geometry · Computer Science 2025-08-26 Yu Chen , Hongwei Lin

Though there exists a reasonable forward model for blur based on optical physics, recovering depth from a collection of defocused images remains a computationally challenging optimization problem. In this paper, we show that with…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Holly Jackson , Caleb Adams , Ignacio Lopez-Francos , Benjamin Recht

Point cloud compression (PCC) is a key enabler for various 3-D applications, owing to the universality of the point cloud format. Ideally, 3D point clouds endeavor to depict object/scene surfaces that are continuous. Practically, as a set…

Image and Video Processing · Electrical Eng. & Systems 2022-09-12 Jiahao Pang , Muhammad Asad Lodhi , Dong Tian

We propose a new globalization strategy that can be used in unconstrained optimization algorithms to support rapid convergence from remote starting points. Our approach is based on using multiple points at each iteration to build a…

Optimization and Control · Mathematics 2017-05-16 Figen Öztoprak , Ş. İlker Birbil

We introduce a method for high-quality 3D reconstruction from multi-view images. Our method uses a new point-based representation, the regularized dipole sum, which generalizes the winding number to allow for interpolation of per-point…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Hanyu Chen , Bailey Miller , Ioannis Gkioulekas

Recent years have witnessed the growth of point cloud based applications because of its realistic and fine-grained representation of 3D objects and scenes. However, it is a challenging problem to compress sparse, unstructured, and…

Image and Video Processing · Electrical Eng. & Systems 2020-11-10 Jianqiang Wang , Dandan Ding , Zhu Li , Zhan Ma

Conservation principles like conservation of charge or energy provide a natural way to couple and constrain different physical variables. In this letter, we propose a dynamical system model that exploits these constraints for solving…

Optimization and Control · Mathematics 2017-07-24 Oindrila Chatterjee , Shantanu Chakrabartty

We present an out-of-core variational approach for surface reconstruction from a set of aligned depth maps. Input depth maps are supposed to be reconstructed from regular photos or/and can be a representation of terrestrial LIDAR point…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Nikolai Poliarnyi

We present a comprehensive survey and benchmark of both traditional and learning-based methods for surface reconstruction from point clouds. This task is particularly challenging for real-world acquisitions due to factors such as noise,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Raphael Sulzer , Renaud Marlet , Bruno Vallet , Loic Landrieu

Dimensionality reduction algorithms map high-dimensional data into visualizable 2D or 3D spaces, but traditionally rely on a discrete point-cloud paradigm. This discrete abstraction is susceptible to visual occlusion and artificial…

Graphics · Computer Science 2026-05-19 João Paulo Gois , Luis Gustavo Nonato

Creating geometric abstracted models from image-based scene reconstructions is difficult due to noise and irregularities in the reconstructed model. In this paper, we present a geometric modeling method for noisy reconstructions dominated…

Computer Vision and Pattern Recognition · Computer Science 2014-04-22 Thomas Holzmann , Christof Hoppe , Stefan Kluckner , Horst Bischof

3D dynamic point clouds provide a natural discrete representation of real-world objects or scenes in motion, with a wide range of applications in immersive telepresence, autonomous driving, surveillance, \etc. Nevertheless, dynamic point…

Image and Video Processing · Electrical Eng. & Systems 2021-07-28 Wei Hu , Qianjiang Hu , Zehua Wang , Xiang Gao

We introduce a geometric multigrid method for solving linear systems arising from variational problems on surfaces in geometry processing, Gravo MG. Our scheme uses point clouds as a reduced representation of the levels of the multigrid…

Computational Geometry · Computer Science 2023-07-12 Ruben Wiersma , Ahmad Nasikun , Elmar Eisemann , Klaus Hildebrandt