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We propose a level set method to reconstruct unknown surfaces from point clouds, without assuming that the connections between points are known. We consider a variational formulation with a curvature constraint that minimizes the surface…

Numerical Analysis · Mathematics 2024-10-30 Silvia Preda , Matteo Semplice

We introduce a new deep learning method for point cloud comparison. Our approach, named Deep Point Cloud Distance (DPDist), measures the distance between the points in one cloud and the estimated surface from which the other point cloud is…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Dahlia Urbach , Yizhak Ben-Shabat , Michael Lindenbaum

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

A 3D point cloud is typically constructed from depth measurements acquired by sensors at one or more viewpoints. The measurements suffer from both quantization and noise corruption. To improve quality, previous works denoise a point cloud…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Xue Zhang , Gene Cheung , Jiahao Pang , Yash Sanghvi , Abhiram Gnanasambandam , Stanley H. Chan

Reachable Minimally supported (RM) B-splines have been recently introduced as a novel B-spline--like basis. They feature local linear independence and admit a fast de Boor--like evaluation algorithm. These properties make them particularly…

Numerical Analysis · Mathematics 2025-12-01 Francesco Patrizi

In recent years, three-dimensional point clouds are used increasingly to document natural environments. Each dataset contains a diverse set of objects, at varying shapes and sizes, distributed throughout the data and intricately intertwined…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Reuma Arav , Dennis Wittich , Franz Rottensteiner

Bilateral filter (BF) is a fast, lightweight and effective tool for image denoising and well extended to point cloud denoising. However, it often involves continual yet manual parameter adjustment; this inconvenience discounts the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-31 Huajian Si , Zeyong Wei , Zhe Zhu , Honghua Chen , Dong Liang , Weiming Wang , Mingqiang Wei

In this paper, we present a generalizable method for 3D surface reconstruction from raw point clouds or pre-estimated 3D Gaussians by 3DGS from RGB images. Unlike existing coordinate-based methods which are often computationally intensive…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Shenxing Wei , Jinxi Li , Yafei Yang , Siyuan Zhou , Bo Yang

Recent development of 3D sensors allows the acquisition of extremely dense 3D point clouds of large-scale scenes. The main challenge of processing such large point clouds remains in the size of the data, which induce expensive computational…

Computer Vision and Pattern Recognition · Computer Science 2021-09-24 Thomas Richard , Florent Dupont , Guillaume Lavoue

A key step in any scanning-based asset creation workflow is to convert unordered point clouds to a surface. Classical methods (e.g., Poisson reconstruction) start to degrade in the presence of noisy and partial scans. Hence, deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-02-14 Philipp Erler , Paul Guerrero , Stefan Ohrhallinger , Michael Wimmer , Niloy J. Mitra

Point cloud denoising aims to restore clean point clouds from raw observations corrupted by noise and outliers while preserving the fine-grained details. We present a novel deep learning-based denoising model, that incorporates normalizing…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Aihua Mao , Zihui Du , Yu-Hui Wen , Jun Xuan , Yong-Jin Liu

The boundary representation (B-Rep) models a 3D solid as its explicit boundaries: trimmed corners, edges, and faces. Recovering B-Rep representation from unstructured data is a challenging and valuable task of computer vision and graphics.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Jiaxing Yu , Dongyang Ren , Hangyu Xu , Zhouyuxiao Yang , Yuanqi Li , Jie Guo , Zhengkang Zhou , Yanwen Guo

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

The task of point cloud upsampling aims to acquire dense and uniform point sets from sparse and irregular point sets. Although significant progress has been made with deep learning models, state-of-the-art methods require ground-truth dense…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Xinhai Liu , Xinchen Liu , Yu-Shen Liu , Zhizhong Han

We extend the recently introduced divergence-conforming immersed boundary (DCIB) method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one solids. We focus on capsules and vesicles, whose discretization is…

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

In this paper, we propose a pipeline to generate 3D point cloud of an object from a single-view RGB image. Most previous work predict the 3D point coordinates from single RGB images directly. We decompose this problem into depth estimation…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Wei Zeng , Sezer Karaoglu , Theo Gevers

The learning and aggregation of multi-scale features are essential in empowering neural networks to capture the fine-grained geometric details in the point cloud upsampling task. Most existing approaches extract multi-scale features from a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Yechao Bai , Xiaogang Wang , Marcelo H. Ang , Daniela Rus

B-spline models are a powerful way to represent scientific data sets with a functional approximation. However, these models can suffer from spurious oscillations when the data to be approximated are not uniformly distributed. Model…

Numerical Analysis · Mathematics 2022-03-29 David Lenz , Raine Yeh , Vijay Mahadevan , Iulian Grindeanu , Tom Peterka

We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scattering analysis with the boundary element method (method of moments). Our approach makes use of Non-Uniform…

Numerical Analysis · Mathematics 2018-04-04 Robert N. Simpson , Zhaowei Liu , Ráfael Vazquez , John A. Evans