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We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas

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

It is an important task to reconstruct surfaces from 3D point clouds. Current methods are able to reconstruct surfaces by learning Signed Distance Functions (SDFs) from single point clouds without ground truth signed distances or point…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Baorui Ma , Yu-Shen Liu , Zhizhong Han

Surface reconstruction for point clouds is an important task in 3D computer vision. Most of the latest methods resolve this problem by learning signed distance functions from point clouds, which are limited to reconstructing closed…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Junsheng Zhou , Baorui Ma , Shujuan Li , Yu-Shen Liu , Yi Fang , Zhizhong Han

Point cloud alignment is a common problem in computer vision and robotics, with applications ranging from 3D object recognition to reconstruction. We propose a novel approach to the alignment problem that utilizes Bayesian nonparametrics to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-23 Julian Straub , Trevor Campbell , Jonathan P. How , John W. Fisher

We propose a robust normal estimation method for both point clouds and meshes using a low rank matrix approximation algorithm. First, we compute a local feature descriptor for each point and find similar, non-local neighbors that we…

Graphics · Computer Science 2021-10-05 Xuequan Lu , Scott Schaefer , Jun Luo , Lizhuang Ma , Ying He

We present a general method for computing local parameterizations rooted at a point on a surface, where the surface is described only through a signed implicit function and a corresponding projection function. Using a two-stage process, we…

Graphics · Computer Science 2025-09-23 Abhishek Madan , David I. W. Levin

To facilitate widespread adoption of automated engineering design techniques, existing methods must become more efficient and generalizable. In the field of topology optimization, this requires the coupling of modern optimization methods…

Computational Engineering, Finance, and Science · Computer Science 2024-02-23 Connor N. Mallon , Aaron W. Thornton , Matthew R. Hill , Santiago Badia

Accurate 3D geometry acquisition is essential for a wide range of applications, such as computer graphics, autonomous driving, robotics, and augmented reality. However, raw point clouds acquired in real-world environments are often…

Graphics · Computer Science 2025-08-26 Jinxi Wang , Ben Fei , Dasith de Silva Edirimuni , Zheng Liu , Ying He , Xuequan Lu

In this paper, we propose a point cloud classification method based on graph neural network and manifold learning. Different from the conventional point cloud analysis methods, this paper uses manifold learning algorithms to embed point…

Computer Vision and Pattern Recognition · Computer Science 2020-10-19 Dinghao Yang , Wei Gao

Point cloud is a collection of 3D coordinates that are discrete geometric samples of an object's 2D surfaces. Using a low-cost 3D scanner to acquire data means that point clouds are often in lower resolution than desired for rendering on…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Chinthaka Dinesh , Gene Cheung , Ivan V. Bajic

Shape optimization involves the minimization of a cost function defined over a set of shapes, often governed by a partial differential equation (PDE). In the absence of closed-form solutions, one relies on numerical methods to approximate…

Numerical Analysis · Mathematics 2025-02-21 Eloi Martinet , Leon Bungert

Existing deep learning algorithms for point cloud analysis mainly concern discovering semantic patterns from global configuration of local geometries in a supervised learning manner. However, very few explore geometric properties revealing…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Lulu Tang , Ke Chen , Chaozheng Wu , Yu Hong , Kui Jia , Zhixin Yang

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

Surface reconstruction from point clouds is vital for 3D computer vision. State-of-the-art methods leverage large datasets to first learn local context priors that are represented as neural network-based signed distance functions (SDFs)…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Baorui Ma , Yu-Shen Liu , Matthias Zwicker , Zhizhong Han

Currently, the area of geometric modeling and the construction of 3D models based on point clouds from laser sensors is actively developing. One of the basic tasks of geometric modeling is the reconstruction of a surface from a cloud of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-09 Marat Ildarovich Khabibulin

3D surface reconstruction from point clouds is a key step in areas such as content creation, archaeology, digital cultural heritage, and engineering. Current approaches either try to optimize a non-data-driven surface representation to fit…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Philipp Erler , Lizeth Fuentes , Pedro Hermosilla , Paul Guerrero , Renato Pajarola , Michael Wimmer

The recent advances in 3D sensing technology have made possible the capture of point clouds in significantly high resolution. However, increased detail usually comes at the expense of high storage, as well as computational costs in terms of…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Rolandos Alexandros Potamias , Giorgos Bouritsas , Stefanos Zafeiriou

Conventional field parameters for surface measurement use all data points, while feature characterization focuses on subsets extracted by watershed segmentation. This approach enables the extraction of specific features that are potentially…

Signal Processing · Electrical Eng. & Systems 2025-01-24 Alexander Müller , Matthias Eifler , Arsalan Jawaid , Jörg Seewig

Scene graphs have been recently introduced into 3D spatial understanding as a comprehensive representation of the scene. The alignment between 3D scene graphs is the first step of many downstream tasks such as scene graph aided point cloud…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Yaxu Xie , Alain Pagani , Didier Stricker