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Surface parameterization is a fundamental concept in fields such as differential geometry and computer graphics. It involves mapping a surface in three-dimensional space onto a two-dimensional parameter space. This process allows for the…

Numerical Analysis · Mathematics 2024-12-16 Shu-Yung Liu , Mei-Heng Yueh

Surface parameterization is a fundamental geometry processing problem with rich downstream applications. Traditional approaches are designed to operate on well-behaved mesh models with high-quality triangulations that are laboriously…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Qijian Zhang , Junhui Hou , Ying He

Point cloud is the most fundamental representation of 3D geometric objects. Analyzing and processing point cloud surfaces is important in computer graphics and computer vision. However, most of the existing algorithms for surface analysis…

Computational Geometry · Computer Science 2020-02-10 Gary Pui-Tung Choi , Kin Tat Ho , Lok Ming Lui

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

In this work, we introduce a novel computational framework for solving the two-dimensional Hele-Shaw free boundary problem with surface tension. The moving boundary is represented by point clouds, eliminating the need for a global…

Numerical Analysis · Mathematics 2026-05-21 Zengyan Zhang , Wenrui Hao , John Harlim

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

The advancements in neural rendering have increased the need for techniques that enable intuitive editing of 3D objects represented as neural implicit surfaces. This paper introduces a novel neural algorithm for parameterizing neural…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Baixin Xu , Jiangbei Hu , Fei Hou , Kwan-Yee Lin , Wayne Wu , Chen Qian , Ying He

Conformal surface parameterization is useful in graphics, imaging and visualization, with applications to texture mapping, atlas construction, registration, remeshing and so on. With the increasing capability in scanning and storing data,…

Computational Geometry · Computer Science 2020-07-06 Gary P. T. Choi , Yusan Leung-Liu , Xianfeng Gu , Lok Ming Lui

Point discretization of curved surfaces is required in many applications ranging from object rendering to the solution of surface partial differential equations (PDEs). These applications often impose that surfaces are sampled with local…

Computational Engineering, Finance, and Science · Computer Science 2026-05-06 Lennart J. Schulze , Ivo F. Sbalzarini

Designing a point cloud upsampler, which aims to generate a clean and dense point cloud given a sparse point representation, is a fundamental and challenging problem in computer vision. A line of attempts achieves this goal by establishing…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Pingping Cai , Zhenyao Wu , Xinyi Wu , Song Wang

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

With the advancement in 3D scanning technology, there has been a surge of interest in the use of point clouds in science and engineering. To facilitate the computations and analyses of point clouds, prior works have considered…

Computational Geometry · Computer Science 2021-12-22 Gary P. T. Choi , Yechen Liu , Lok Ming Lui

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

Most existing approaches for point cloud normal estimation aim to locally fit a geometric surface and calculate the normal from the fitted surface. Recently, learning-based methods have adopted a routine of predicting point-wise weights to…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Hang Du , Xuejun Yan , Jingjing Wang , Di Xie , Shiliang Pu

The reconstruction of a discrete surface from a point cloud is a fundamental geometry processing problem that has been studied for decades, with many methods developed. We propose the use of a deep neural network as a geometric prior for…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Francis Williams , Teseo Schneider , Claudio Silva , Denis Zorin , Joan Bruna , Daniele Panozzo

Point clouds are popular 3D representations for real-life objects (such as in LiDAR and Kinect) due to their detailed and compact representation of surface-based geometry. Recent approaches characterise the geometry of point clouds by…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Juheon Lee , Xiaohao Cai , Carola-Bibian Schönlieb , Simon Masnou

We propose a novel normal estimation method called HSurf-Net, which can accurately predict normals from point clouds with noise and density variations. Previous methods focus on learning point weights to fit neighborhoods into a geometric…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Qing Li , Yu-Shen Liu , Jin-San Cheng , Cheng Wang , Yi Fang , Zhizhong Han

Point Cloud Registration is a fundamental and challenging problem in 3D computer vision. Recent works often utilize the geometric structure information in point feature embedding or outlier rejection for registration while neglecting to…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Qianliang Wu , Yaqi Shen , Haobo Jiang , Guofeng Mei , Yaqing Ding , Lei Luo , Jin Xie , Jian Yang

We introduce a continuous global optimization method to the field of surface reconstruction from discrete noisy cloud of points with weak information on orientation. The proposed method uses an energy functional combining flux-based…

Graphics · Computer Science 2017-08-01 Rongjiang Pan , Vaclav Skala

Reconstructing 3D geometry from \emph{unoriented} point clouds can benefit many downstream tasks. Recent shape modeling methods mostly adopt implicit neural representation to fit a signed distance field (SDF) and optimize the network by…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Runsong Zhu , Di Kang , Ka-Hei Hui , Yue Qian , Xuefei Zhe , Zhen Dong , Linchao Bao , Pheng-Ann Heng , Chi-Wing Fu
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