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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…

计算几何 · 计算机科学 2025-11-24 Henriette Lipschütz , Ulrich Reitebuch , Konrad Polthier , Martin Skrodzki

Reconstructing 3D point clouds into triangle meshes is a key problem in computational geometry and surface reconstruction. Point cloud triangulation solves this problem by providing edge information to the input points. Since no vertex…

计算机视觉与模式识别 · 计算机科学 2023-08-22 Huan Lei , Ruitao Leng , Liang Zheng , Hongdong Li

In this paper, we propose novel edge and corner detection algorithms for unorganized point clouds. Our edge detection method evaluates symmetry in a local neighborhood and uses an adaptive density based threshold to differentiate 3D edge…

计算机视觉与模式识别 · 计算机科学 2018-09-28 Syeda Mariam Ahmed , Yan Zhi Tan , Chee Meng Chew , Abdullah Al Mamun , Fook Seng Wong

Reconstructing and processing the 3D objects are popular activities in the research field of computer graphics, image processing and computer vision. The 3D objects are processed based on the methods like geometric modeling, a branch of…

计算机视觉与模式识别 · 计算机科学 2023-10-18 Sinh Van Nguyen , Son Thanh Le , Minh Khai Tran , Le Thanh Sach

The 3D mesh is an important representation of geometric data. In the generation of mesh data, geometric deficiencies (e.g., duplicate elements, degenerate faces, isolated vertices, self-intersection, and inner faces) are unavoidable and may…

计算机视觉与模式识别 · 计算机科学 2020-09-04 Bingtao Ma , Hongsen Liu , Liangliang Nan , Yang Cong

In this paper, we propose a machine learning approach to recognise engineering shape features such as holes, slots, etc. in a CAD mesh model. With the advent of digital archiving, newer manufacturing techniques such as 3D printing, scanning…

计算机视觉与模式识别 · 计算机科学 2021-12-16 Lakshmi Priya Muraleedharan , Ramanathan Muthuganapathy

Efficiently detecting target weld seams while ensuring sub-millimeter accuracy has always been an important challenge in autonomous welding, which has significant application in industrial practice. Previous works mostly focused on…

计算机视觉与模式识别 · 计算机科学 2024-08-21 Pengkun Wei , Shuo Cheng , Dayou Li , Ran Song , Yipeng Zhang , Wei Zhang

Mesh simplification is the process of reducing the number of vertices, edges and triangles in a three-dimensional (3D) mesh while preserving the overall shape and salient features of the mesh. A popular strategy for this is edge collapse,…

计算几何 · 计算机科学 2025-12-24 Purva Kulkarni , Aravind Shankara Narayanan

Anomaly detection is a long-standing challenge in manufacturing systems. Traditionally, anomaly detection has relied on human inspectors. However, 3D point clouds have gained attention due to their robustness to environmental factors and…

计算机视觉与模式识别 · 计算机科学 2024-11-12 Jiayu Liu , Shancong Mou , Nathan Gaw , Yinan Wang

Triangular meshes are the most popular representations of 3D objects, but many mesh surfaces contain topological singularities that represent a challenge for displaying or further processing them properly. One such singularity is the…

计算几何 · 计算机科学 2022-06-22 K. Sfikas , P. Perakis , T. Theoharis

The isometric embedding of surfaces in three-dimensional space is fundamental to various physical systems, from elastic sheets to programmable materials. While continuous surfaces typically admit unique solutions under suitable boundary…

无序系统与神经网络 · 物理学 2025-05-13 Kyungeun Kim , Christian D. Santangelo

This paper presents a new algorithm for filling holes in Level of Detail 2 (LoD2) building mesh models, addressing the challenges posed by geometric inaccuracies and topological errors. Unlike traditional methods that often alter the…

计算几何 · 计算机科学 2024-04-25 Weixiao Gao , Ravi Peters , Hugo Ledoux , Jantien Stoter

The detection and classification of intersections between triangles are crucial tasks in a wide range of applications within Computer Graphics and Geometry Processing, including mesh Arrangements, mesh Booleans, and generic mesh processing…

计算几何 · 计算机科学 2025-07-14 Luca Garau , Gianmarco Cherchi

The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to deform the meshes of arbitrary shapes into their polycube…

图形学 · 计算机科学 2018-07-24 Hui Zhao , Na Lei , Xuan Li , Peng Zeng , Ke Xu , Xianfeng Gu

The creation of a volumetric mesh representing the interior of an input polygonal mesh is a common requirement in graphics and computational mechanics applications. Most mesh creation techniques assume that the input surface is not…

The manifold hypothesis, which assumes that data lies on or close to an unknown manifold of low intrinsic dimension, is a staple of modern machine learning research. However, recent work has shown that real-world data exhibits distinct…

机器学习 · 计算机科学 2023-06-16 Julius von Rohrscheidt , Bastian Rieck

Information transfer between triangle meshes is of great importance in computer graphics and geometry processing. To facilitate this process, a smooth and accurate map is typically required between the two meshes. While such maps can…

图形学 · 计算机科学 2018-01-09 Danielle Ezuz , Justin Solomon , Mirela Ben-Chen

One remarkable feature of virtual element methods (VEMs) is their great flexibility and robustness when used on almost arbitrary polytopal meshes. This very feature makes it widely used in both fitted and unfitted mesh methods. Despite…

数值分析 · 数学 2025-01-09 Ruchi Guo

We propose an algorithm for tracing polylines on a triangle mesh such that: they are aligned with a N-symmetry direction field, and two such polylines cannot cross or merge. This property is fundamental for mesh segmentation and is very…

计算几何 · 计算机科学 2016-06-15 Nicolas Ray , Dmitry Sokolov

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

图形学 · 计算机科学 2023-10-04 Junyi Shen
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