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Collision detection appears as a canonical operation in a large range of robotics applications from robot control to simulation, including motion planning and estimation. While the seminal works on the topic date back to the 80s, it is only…

The Convex Hull algorithm is one of the most important algorithms in computational geometry, with many applications such as in computer graphics, robotics, and data mining. Despite the advances in the new algorithms in this area, it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Roberto Carrasco , Héctor Ferrada , Cristóbal A. Navarro , Nancy Hitschfeld

This article presents an easy distance field-based collision detection scheme to detect collisions of an object with its environment. Through the clever use of back-face culling and z-buffering, the solution is precise and very easy to…

Robotics · Computer Science 2024-06-04 Jonathan Fabrizio

Detecting the dimension of a hidden manifold from a point sample has become an important problem in the current data-driven era. Indeed, estimating the shape dimension is often the first step in studying the processes or phenomena…

Computational Geometry · Computer Science 2014-05-15 Tamal K. Dey , Fengtao Fan , Yusu Wang

One way to classify private set intersection (PSI) for secure 2-party computation is whether the intersection is (a) revealed to both parties or (b) hidden from both parties while only the computing function of the matched payload is…

Cryptography and Security · Computer Science 2022-08-30 Jian Du , Tianxi Ji , Jamie Cui , Lei Zhang , Yufei Lu , Pu Duan

Multipartite entanglement is one of the crucial resources in quantum information processing tasks such as quantum metrology, quantum computing and quantum communications. It is essential to verify not only the multipartite entanglement, but…

Quantum Physics · Physics 2024-06-12 Kai Wu , Zhihua Chen , Zhen-Peng Xu , Zhihao Ma , Shao-Ming Fei

We consider the following problem in computational geometry: given, in the d-dimensional real space, a set of points marked as positive and a set of points marked as negative, such that the convex hull of the positive set does not intersect…

Optimization and Control · Mathematics 2024-07-30 Michele Barbato , Alberto Ceselli , Rosario Messana

The advent of the Edge Computing (EC) leads to a huge ecosystem where numerous nodes can interact with data collection devices located close to end users. Human detection and tracking can be realized at edge nodes that perform the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Fesatidis Georgios , Bratsos Dimitrios , Kostas Kolomvatsos

In this work, we present a boundary and hole detection approach that traverses all the boundaries of an edge-manifold triangular mesh, irrespectively of the presence of singular vertices, and subsequently determines and labels all holes of…

Graphics · Computer Science 2024-07-04 Mauhing Yip , Annette Stahl , Christian Schellewald

A recent series of papers has examined the extension of disjunctive-programming techniques to mixed-integer second-order-cone programming. For example, it has been shown---by several authors using different techniques---that the convex hull…

Optimization and Control · Mathematics 2016-05-25 Sam Burer , Fatma Kilinc-Karzan

Protocol detection is the process of determining the application layer protocol in the context of network security monitoring, which requires a timely and precise decision to enable protocol-specific deep packet inspection. This task has…

Networking and Internet Architecture · Computer Science 2019-12-10 Jan Grashöfer , Christian Titze , Hannes Hartenstein

In this paper, we propose a object detection method expressed as rotated bounding box to solve grasping challenge in the scenes where rigid objects and soft objects are mixed together. Compared with traditional detection methods, this…

Robotics · Computer Science 2019-09-23 Xiaoman Wang , Xin Jiang , Jie Zhao , Shengfan Wang , Yunhui Liu

We propose a new method for segmentation-free joint estimation of orthogonal planes, their intersection lines, relationship graph and corners lying at the intersection of three orthogonal planes. Such unified scene exploration under…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Christiane Sommer , Yumin Sun , Leonidas Guibas , Daniel Cremers , Tolga Birdal

Collision detection between two convex shapes is an essential feature of any physics engine or robot motion planner. It has often been tackled as a computational geometry problem, with the Gilbert, Johnson and Keerthi (GJK) algorithm being…

Robotics · Computer Science 2022-05-23 Louis Montaut , Quentin Le Lidec , Vladimir Petrik , Josef Sivic , Justin Carpentier

We consider the problem of inferring the topology of a network using the measurements available at the end nodes, without cooperation from the internal nodes. To this end, we provide a simple method to obtain path interference which…

Networking and Internet Architecture · Computer Science 2019-03-19 Anurag Rai , Eytan Modiano

In this study, we investigate high-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows. A new geometrical method is first developed to enhance the accuracy of free-surface particle…

Fluid Dynamics · Physics 2023-06-14 Wen-Bin Liu , Dong-Jun Ma , Jian-Zhen Qian , Ming-Yu Zhang , An-Min He , Nan-Sheng Liu , Pei Wang

Approximating distance is one of the key challenge in a facility location problem. Several algorithms have been proposed, however, none of them focused on estimating distance between two concave regions. In this work, we present an…

Optimization and Control · Mathematics 2018-06-12 Ruilin Ouyang , Dinghao Ma , M. S. Morshed , Md. Noor-E-Alam

This paper improves the algorithms based on supporting halfspaces and quadratic programming for convex set intersection problems in our earlier paper in several directions. First, we give conditions so that much smaller quadratic programs…

Optimization and Control · Mathematics 2014-06-17 C. H. Jeffrey Pang

In cryptography, secure Multi-Party Computation (MPC) protocols allow participants to compute a function jointly while keeping their inputs private. Recent breakthroughs are bringing MPC into practice, solving fundamental challenges for…

Cryptography and Security · Computer Science 2018-06-01 David Butler , David Aspinall , Adria Gascon

This article discusses the problem of determining whether a given point, or set of points, lies within the convex hull of another set of points in $d$ dimensions. This problem arises naturally in a statistical context when using a…

Computation · Statistics 2024-01-30 Pavel N. Krivitsky , Alina R. Kuvelkar , David R. Hunter
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