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An emerging class of trajectory optimization methods enforces collision avoidance by jointly optimizing the robot's configuration and a separating hyperplane. However, as linear separators only apply to convex sets, these methods require…

机器人学 · 计算机科学 2026-01-15 Shuoye Li , Zhiyuan Song , Yulin Li , Zhihai Bi , Jun Ma

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

计算几何 · 计算机科学 2017-03-10 Oren Salzman , Siddhartha Srinivasa

We present a sampling-based framework for multi-robot motion planning which combines an implicit representation of a roadmap with a novel approach for pathfinding in geometrically embedded graphs tailored for our setting. Our pathfinding…

机器人学 · 计算机科学 2014-04-01 Kiril Solovey , Oren Salzman , Dan Halperin

This paper presents a coordination algorithm for mobile autonomous robots. Relying upon distributed sensing the robots achieve rendezvous, that is, they move to a common location. Each robot is a point mass moving in a nonconvex environment…

机器人学 · 计算机科学 2007-05-23 Anurag Ganguli , Jorge Cortes , Francesco Bullo

This paper develops an algorithm that guides a multi-robot system in an unknown environment in search of fixed targets. The area to be scanned contains an unknown number of convex obstacles of unknown size and shape. The algorithm covers…

机器人学 · 计算机科学 2012-02-13 Jonathan Rogge , Dirk Aeyels

We develop a sketching algorithm to find the point on the convex hull of a dataset, closest to a query point outside it. Studying the convex hull of datasets can provide useful information about their geometric structure and their…

微分几何 · 数学 2022-03-30 Roozbeh Yousefzadeh

There are few industries which use manually controlled robots for carrying material and this cannot be used all the time in all the places. So, it is very tranquil to have robots which can follow a specific human by following the unique…

机器人学 · 计算机科学 2021-09-08 Sai Nikhil Gona , Prithvi Raj Bandhakavi

The minimum distance of a code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is a crucial process to many problems in this area. In this paper, we present…

信息论 · 计算机科学 2024-05-01 Fernando Hernando , Francisco D. Igual , Gregorio Quintana-Ortí

We design a heuristic method, a genetic algorithm, for the computation of an upper bound of the minimum distance of a linear code over a finite field. By the use of the row reduced echelon form, we obtain a permutation encoding of the…

信息论 · 计算机科学 2018-07-20 José Gómez-Torrecillas , F. J. Lobillo , Gabriel Navarro

An autonomous robot with a limited vision range finds a path to the goal in an unknown environment in 2D avoiding polygonal obstacles. In the process of discovering the environmental map, the robot has to return to some positions marked…

机器人学 · 计算机科学 2023-12-19 Phan Thanh An , Nguyen Thi Le

The problem of finding a path between two points while avoiding obstacles is critical in robotic path planning. We focus on the feasibility problem: determining whether such a path exists. We model the robot as a query-specific rectangular…

计算几何 · 计算机科学 2025-04-16 Alex Fan , Alicia Li , Arul Kolla , Jason Gonzalez

A modified version of the Dijkstra algorithm using an inventive contraction hierarchy is proposed. The algorithm considers a directed acyclic graph with a conical or semi-circular structure for which a pair of edges is chosen iteratively…

数据结构与算法 · 计算机科学 2015-03-20 Ugochi A. Okengwu , Enoch O. Nwachukwu , Emmanuel N. Osegi

Most existing motion planning algorithms assume that a map (of some quality) is fully determined prior to generating a motion plan. In many emerging applications of robotics, e.g., fast-moving agile aerial robots with constrained embedded…

机器人学 · 计算机科学 2018-08-03 Thomas Sayre-McCord , Sertac Karaman

Nonlinear least-squares problems are a special class of unconstrained optimization problems in which their gradient and Hessian have special structures. In this paper, we exploit these structures and proposed a matrix-free algorithm with a…

最优化与控制 · 数学 2020-02-06 Aliyu Muhammed Awwal , Poom Kumam , Hassan Mohammad

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

Till now, many path planning algorithms have been proposed in the literature. The objective of these algorithms is to find the quickest path between initial position to the end position in a certain environment. The complexity of these…

机器人学 · 计算机科学 2024-05-28 Vikram Shahapur , Blessing Dixon , Urvishkumar Bharti

In this paper we study the Near-Gathering problem for a finite set of dimensionless, deterministic, asynchronous, anonymous, oblivious and autonomous mobile robots with limited visibility moving in the Euclidean plane in Look-Compute-Move…

分布式、并行与集群计算 · 计算机科学 2015-05-28 Linda Pagli , Giuseppe Prencipe , Giovanni Viglietta

A new pattern search method for bound constrained optimization is introduced. The proposed algorithm employs the coordinate directions, in a suitable way, with a nonmonotone line search for accepting the new iterate, without using…

最优化与控制 · 数学 2018-06-25 Johanna A. Frau , Elvio A. Pilotta

Matching pursuit algorithms are an important class of algorithms in signal processing and machine learning. We present a blended matching pursuit algorithm, combining coordinate descent-like steps with stronger gradient descent steps, for…

最优化与控制 · 数学 2019-11-21 Cyrille W. Combettes , Sebastian Pokutta

In this work we study the interleaving distance between merge trees from a combinatorial point of view. We use a particular type of matching between trees to obtain a novel formulation of the distance. With such formulation, we tackle the…

组合数学 · 数学 2024-11-11 Matteo Pegoraro