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We develop and test high-order methods for integration on surface point clouds. The task of integrating a function on a surface arises in a range of applications in engineering and the sciences, particularly those involving various integral…

数值分析 · 数学 2026-03-12 Daniel R. Venn , Steven J. Ruuth

We develop and assess an optimization-based approach to parametric geometry reduction. Given a family of parametric domains, we aim to determine a parametric diffeomorphism $\Phi$ that maps a fixed reference domain $\Omega$ into each…

数值分析 · 数学 2022-11-21 Tommaso Taddei

With advances in technology, there has been growing interest in developing effective mapping methods for 3-dimensional objects in recent years. Volumetric parameterization for 3D solid manifolds plays an important role in processing 3D…

计算几何 · 计算机科学 2025-06-23 Zhiyuan Lyu , Qiguang Chen , Gary P. T. Choi , Lok Ming Lui

A 3D point cloud is often synthesized from depth measurements collected by sensors at different viewpoints. The acquired measurements are typically both coarse in precision and corrupted by noise. To improve quality, previous works denoise…

图像与视频处理 · 电气工程与系统科学 2020-02-12 Xue Zhang , Gene Cheung , Jiahao Pang , Dong Tian

Most current neural networks for reconstructing surfaces from point clouds ignore sensor poses and only operate on raw point locations. Sensor visibility, however, holds meaningful information regarding space occupancy and surface…

计算机视觉与模式识别 · 计算机科学 2022-02-07 Raphael Sulzer , Loic Landrieu , Alexandre Boulch , Renaud Marlet , Bruno Vallet

We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation along initially aligned curved boundaries and internal…

数值分析 · 数学 2021-05-27 Patrick Knupp , Tzanio Kolev , Ketan Mittal , Vladimir Z. Tomov

Normal estimation for 3D point clouds is a fundamental task in 3D geometry processing. The state-of-the-art methods rely on priors of fitting local surfaces learned from normal supervision. However, normal supervision in benchmarks comes…

计算机视觉与模式识别 · 计算机科学 2023-11-02 Qing Li , Huifang Feng , Kanle Shi , Yue Gao , Yi Fang , Yu-Shen Liu , Zhizhong Han

In the field of robotics, the point cloud has become an essential map representation. From the perspective of downstream tasks like localization and global path planning, points corresponding to dynamic objects will adversely affect their…

机器人学 · 计算机科学 2023-07-17 Qingwen Zhang , Daniel Duberg , Ruoyu Geng , Mingkai Jia , Lujia Wang , Patric Jensfelt

3D point cloud completion, the task of inferring the complete geometric shape from a partial point cloud, has been attracting attention in the community. For acquiring high-fidelity dense point clouds and avoiding uneven distribution,…

计算机视觉与模式识别 · 计算机科学 2019-12-03 Minghua Liu , Lu Sheng , Sheng Yang , Jing Shao , Shi-Min Hu

In this work, we propose a novel framework shape back-projection for computationally efficient point cloud processing in a probabilistic manner. The primary component of the technique is shape histogram and a back-projection procedure. The…

计算机视觉与模式识别 · 计算机科学 2021-01-19 Ashish Kumar , L. Behera

Accurate reconstruction of leaf surfaces from 3D point cloud is essential for agricultural applications such as phenotyping. However, real-world plant data (i.e., irregular 3D point cloud) are often complex to reconstruct plant parts…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Arif Ahmed , Parikshit Maini

The typical goal of surface remeshing consists in finding a mesh that is (1) geometrically faithful to the original geometry, (2) as coarse as possible to obtain a low-complexity representation and (3) free of bad elements that would hamper…

图形学 · 计算机科学 2016-11-08 Kaimo Hu , Dong-Ming Yan , David Bommes , Pierre Alliez , Bedrich Benes

Point cloud processing as a fundamental task in the field of geomatics and computer vision, has been supporting tasks and applications at different scales from air to ground, including mapping, environmental monitoring, urban/tree structure…

计算机视觉与模式识别 · 计算机科学 2025-09-17 Zhenxin Zhang , Zhihua Xu , Yuwei Cao , Ningli Xu , Shuye Wang , Shen'ao Cui , Zhen Li , Rongjun Qin

With the development of 3D sensing technologies, point clouds have attracted increasing attention in a variety of applications for 3D object representation, such as autonomous driving, 3D immersive tele-presence and heritage reconstruction.…

计算机视觉与模式识别 · 计算机科学 2019-01-01 Junkun Qi , Wei Hu , Zongming Guo

We present an approach to learning features that represent the local geometry around a point in an unstructured point cloud. Such features play a central role in geometric registration, which supports diverse applications in robotics and 3D…

计算机视觉与模式识别 · 计算机科学 2017-09-18 Marc Khoury , Qian-Yi Zhou , Vladlen Koltun

Surface parameterizations have been widely used in computer graphics and geometry processing. In particular, as simply-connected open surfaces are conformally equivalent to the unit disk, it is desirable to compute the disk conformal…

计算几何 · 计算机科学 2020-02-10 Pui Tung Choi , Lok Ming Lui

Extracting high-level structural information from 3D point clouds is challenging but essential for tasks like urban planning or autonomous driving requiring an advanced understanding of the scene at hand. Existing approaches are still not…

计算机视觉与模式识别 · 计算机科学 2022-10-25 Lukas Bode , Michael Weinmann , Reinhard Klein

As a popular geometric representation, point clouds have attracted much attention in 3D vision, leading to many applications in autonomous driving and robotics. One important yet unsolved issue for learning on point cloud is that point…

计算机视觉与模式识别 · 计算机科学 2023-08-16 Yuefan Shen , Yanchao Yang , Mi Yan , He Wang , Youyi Zheng , Leonidas Guibas

Machine learning for point clouds has been attracting much attention, with many applications in various fields, such as shape recognition and material science. For enhancing the accuracy of such machine learning methods, it is often…

机器学习 · 计算机科学 2023-12-29 Naoki Nishikawa , Yuichi Ike , Kenji Yamanishi

The automatic creation of geometric models from point clouds has numerous applications in CAD (e.g., reverse engineering, manufacturing, assembling) and, more in general, in shape modelling and processing. Given a segmented point cloud…

计算机视觉与模式识别 · 计算机科学 2023-08-10 Andrea Raffo , Chiara Romanengo , Bianca Falcidieno , Silvia Biasotti