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Geometric feature learning for 3D surfaces is critical for many applications in computer graphics and 3D vision. However, deep learning currently lags in hierarchical modeling of 3D surfaces due to the lack of required operations and/or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Huan Lei , Naveed Akhtar , Mubarak Shah , Ajmal Mian

The matching of 3D shapes has been extensively studied for shapes represented as surface meshes, as well as for shapes represented as point clouds. While point clouds are a common representation of raw real-world 3D data (e.g. from laser…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Florian Bernard

We introduce MeshGPT, a new approach for generating triangle meshes that reflects the compactness typical of artist-created meshes, in contrast to dense triangle meshes extracted by iso-surfacing methods from neural fields. Inspired by…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Yawar Siddiqui , Antonio Alliegro , Alexey Artemov , Tatiana Tommasi , Daniele Sirigatti , Vladislav Rosov , Angela Dai , Matthias Nießner

The recently developed interpolative separable density fitting (ISDF) decomposition is a powerful way for compressing the redundant information in the set of orbital pairs, and has been used to accelerate quantum chemistry calculations in a…

Computational Physics · Physics 2017-11-07 Kun Dong , Wei Hu , Lin Lin

Hierarchical, multi-resolution volumetric mapping approaches are widely used to represent large and complex environments as they can efficiently capture their occupancy and connectivity information. Yet widely used path planning methods…

Robotics · Computer Science 2026-02-25 Victor Reijgwart , Cesar Cadena , Roland Siegwart , Lionel Ott

Real scans always miss partial geometries of objects due to the self-occlusions, external-occlusions, and limited sensor resolutions. Point cloud completion aims to refer the complete shapes for incomplete 3D scans of objects. Current deep…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Yiming Ren , Peishan Cong , Xinge Zhu , Yuexin Ma

The task of point cloud completion aims to predict the missing part for an incomplete 3D shape. A widely used strategy is to generate a complete point cloud from the incomplete one. However, the unordered nature of point clouds will degrade…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Xin Wen , Peng Xiang , Zhizhong Han , Yan-Pei Cao , Pengfei Wan , Wen Zheng , Yu-Shen Liu

In this paper, we present an innovative technique for the path planning of flying robots in a 3D environment in Rough Mereology terms. The main goal was to construct the algorithm that would generate the mereological potential fields in…

Robotics · Computer Science 2024-05-16 Aleksandra Szpakowska , Piotr Artiemjew

We propose an approach to solve multi-agent path planning (MPP) problems for complex environments. Our method first designs a special pebble graph with a set of feasibility constraints, under which MPP problems have feasibility guarantee.…

Robotics · Computer Science 2021-08-10 Xifeng Gao , Zherong Pan , Ruiqi Ni

This paper presents a comparative analysis of algorithmic strategies for fitting tessellation models to 3D image data of materials such as polycrystals and foams. In this steadily advancing field, we review and assess optimization-based…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Andreas Alpers , Orkun Furat , Christian Jung , Matthias Neumann , Claudia Redenbach , Aigerim Saken , Volker Schmidt

State-of-the-art methods for large-scale driving-scene LiDAR segmentation often project the point clouds to 2D space and then process them via 2D convolution. Although this corporation shows the competitiveness in the point cloud, it…

Computer Vision and Pattern Recognition · Computer Science 2020-11-20 Xinge Zhu , Hui Zhou , Tai Wang , Fangzhou Hong , Yuexin Ma , Wei Li , Hongsheng Li , Dahua Lin

3D scanning is a complex multistage process that generates a point cloud of an object typically containing damaged parts due to occlusions, reflections, shadows, scanner motion, specific properties of the object surface, imperfect…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 Taras Rumezhak , Oles Dobosevych , Rostyslav Hryniv , Vladyslav Selotkin , Volodymyr Karpiv , Mykola Maksymenko

Writing an uncomplicated, robust, and scalable three-dimensional convex hull algorithm is challenging and problematic. This includes, coplanar and collinear issues, numerical accuracy, performance, and complexity trade-offs. While there are…

Computational Geometry · Computer Science 2023-04-11 Ben Kenwright

High-dimensional visual computer models are poised to revolutionize the space mission design process. The circular restricted three-body problem (CR3BP) gives rise to high-dimensional toroidal manifolds that are of immense interest to…

Graphics · Computer Science 2025-04-08 Dante Basile , Xavier Tricoche , Martin Lo

This paper presents a fast and simple new 2-approximation algorithm for minimum weighted vertex cover. The unweighted version of this algorithm is equivalent to a well-known greedy maximal independent set algorithm. We prove that this…

Data Structures and Algorithms · Computer Science 2022-09-13 Nate Veldt

Multi-robot systems are widely used for coverage tasks that require efficient coordination across large environments. In Multi-Robot Coverage Path Planning (MCPP), the objective is typically to minimize the makespan by generating…

Robotics · Computer Science 2026-01-05 Kanghoon Lee , Hyeonjun Kim , Jiachen Li , Jinkyoo Park

We develop a cylindrical shape decomposition (CSD) algorithm to decompose an object, a union of several tubular structures, into its semantic components. We decompose the object using its curve skeleton and restricted translational sweeps.…

Computer Vision and Pattern Recognition · Computer Science 2021-02-12 Ali Abdollahzadeh , Alejandra Sierra , Jussi Tohka

The paper investigates the problem of path planning techniques for multi-copter uncrewed aerial vehicles (UAV) cooperation in a formation shape to examine surrounding surfaces. We first describe the problem as a joint objective cost for…

Robotics · Computer Science 2025-01-13 Van Truong Hoang

The problem of $d$-Path Vertex Cover, $d$-PVC lies in determining a subset $F$ of vertices of a given graph $G=(V,E)$ such that $G \setminus F$ does not contain a path on $d$ vertices. The paths we aim to cover need not to be induced. It is…

Data Structures and Algorithms · Computer Science 2022-01-19 Radovan Červený , Ondřej Suchý

For many important network types (e.g., sensor networks in complex harsh environments and social networks) physical coordinate systems (e.g., Cartesian), and physical distances (e.g., Euclidean), are either difficult to discern or…

Social and Information Networks · Computer Science 2023-12-05 Anura P. Jayasumana , Randy Paffenroth , Gunjan Mahindre , Sridhar Ramasamy , Kelum Gajamannage