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We propose a level-set-based semi-Lagrangian method on graded adaptive Cartesian grids to address the problem of surface reconstruction from point clouds. The goal is to obtain an implicit, high-quality representation of real shapes that…

Numerical Analysis · Mathematics 2026-03-26 Silvia Preda , Matteo Semplice

We propose a Semi-Lagrangian scheme coupled with Radial Basis Function interpolation for approximating a curvature-related level set model, which has been proposed by Zhao et al. in \cite{ZOMK} to reconstruct unknown surfaces from sparse,…

Numerical Analysis · Mathematics 2016-11-08 Elisabetta Carlini , Roberto Ferretti

We propose a variational functional and fast algorithms to reconstruct implicit surface from point cloud data with a curvature constraint. The minimizing functional balances the distance function from the point cloud and the mean curvature…

Computer Vision and Pattern Recognition · Computer Science 2020-09-11 Yuchen He , Sung Ha Kang , Hao Liu

We consider constructing a surface from a given set of point cloud data. We explore two fast algorithms to minimize the weighted minimum surface energy in [Zhao, Osher, Merriman and Kang, Comp.Vision and Image Under., 80(3):295-319, 2000].…

Numerical Analysis · Mathematics 2019-07-03 Yuchen He , Martin Huska , Sung Ha Kang , Hao Liu

Surface reconstruction from point clouds is a fundamental step in many applications in computer vision. In this paper, we develop an efficient iterative method on a variational model for the surface reconstruction from point clouds. The…

Numerical Analysis · Mathematics 2020-05-26 Dong 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

Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this task that produces an implicit surface (zero-level set)…

Numerical Analysis · Mathematics 2022-07-22 Kathryn P. Drake , Edward J. Fuselier , Grady B. Wright

We propose a fast and accurate surface reconstruction algorithm for unorganized point clouds using an implicit representation. Recent learning methods are either single-object representations with small neural models that allow for high…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Siddhant Ranade , Gonçalo Dias Pais , Ross Tyler Whitaker , Jacinto C. Nascimento , Pedro Miraldo , Srikumar Ramalingam

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

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

Point cloud reconstruction from raw point cloud has been an important topic in computer graphics for decades, especially due to its high demand in modeling and rendering applications. An important way to solve this problem is establishing a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Hui Tian , Kai Xu

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 is a fundamental problem in 3D graphics. In this paper, we propose a learning-based approach for implicit surface reconstruction from raw point clouds without normals. Our method is inspired by Gauss Lemma in…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Dong Xiao , Siyou Lin , Zuoqiang Shi , Bin Wang

Learning implicit surface directly from raw data recently has become a very attractive representation method for 3D reconstruction tasks due to its excellent performance. However, as the raw data quality deteriorates, the implicit functions…

Computer Vision and Pattern Recognition · Computer Science 2023-01-13 Xiaogang Wang , Yuhang Cheng , Liang Wang , Jiangbo Lu , Kai Xu , Guoqiang Xiao

Point cloud surface reconstruction has improved in accuracy with advances in deep learning, enabling applications such as infrastructure inspection. Recent approaches that reconstruct from small local regions rather than entire point clouds…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Eito Ogawa , Taiga Hayami , Hiroshi Watanabe

To handle the different types of surface reconstruction tasks, we have replicated as well as modified a few of reconstruction methods and have made comparisons between the traditional method and data-driven method for reconstruction the…

Multimedia · Computer Science 2021-12-28 Ziyu Li , Fangyang Ye , Xinran Guan

We present a machine learning framework that blends image super-resolution technologies with passive, scalar transport in the level-set method. Here, we investigate whether we can compute on-the-fly, data-driven corrections to minimize…

Machine Learning · Computer Science 2022-09-29 Luis Ángel Larios-Cárdenas , Frédéric Gibou

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

Real-world 3D data may contain intricate details defined by salient surface gaps. Automated reconstruction of these open surfaces (e.g., non-watertight meshes) is a challenging problem for environment synthesis in mixed reality…

Computer Vision and Pattern Recognition · Computer Science 2023-01-20 Mohammad Samiul Arshad , William J. Beksi

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
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