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Safe and efficient path planning in parking scenarios presents a significant challenge due to the presence of cluttered environments filled with static and dynamic obstacles. To address this, we propose a novel and computationally efficient…

Numerical optimization has become a popular approach to plan smooth motion trajectories for robots. However, when sharing space with humans, balancing properly safety, comfort and efficiency still remains challenging. This is notably the…

Robotics · Computer Science 2022-10-25 Philipp Kratzer , Marc Toussaint , Jim Mainprice

We present a general and modular algorithmic framework for path planning of robots. Our framework combines geometric methods for exact and complete analysis of low-dimensional configuration spaces, together with practical, considerably…

Computational Geometry · Computer Science 2015-09-17 Oren Salzman , Michael Hemmer , Barak Raveh , Dan Halperin

In this paper, we propose a new method for path planning to a point for robot in environment with obstacles. The resulting algorithm is implemented as a simple variation of Dijkstra's algorithm. By adding a constraint to the shortest-path,…

Robotics · Computer Science 2015-10-16 Jalil Rasekhi

We provide a complete motion-planning mechanism that ensures target tracking and obstacle avoidance in a cluttered environment. For a given polyhedral decomposition of the feasible space, we adopt a novel procedure that constrains the agent…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Theodor-Gabriel Nicu , Florin Stoican , Daniel-Mihail Ioan , Ionela Prodan

Planning trajectories for automated vehicles in urban environments requires methods with high generality, long planning horizons, and fast update rates. Using a path-velocity decomposition, we contribute a novel planning framework, which…

Robotics · Computer Science 2023-08-10 Jona Ruof , Max Bastian Mertens , Michael Buchholz , Klaus Dietmayer

In robotics, a topological theory of motion planning was initiated by M. Farber. The multitasking motion planning problem is new and its theoretical part via topological complexity has hardly been developed, but the concrete implementations…

Algebraic Topology · Mathematics 2021-01-26 Cesar A. Ipanaque Zapata , Jesús González

This work proposes a kinodynamic motion planning technique for collaborative object transportation by multiple mobile manipulators in dynamic environments. A global path planner computes a linear piecewise path from start to goal. A novel…

Robotics · Computer Science 2025-12-09 Keshab Patra , Arpita Sinha , Anirban Guha

We study motion planning algorithms for collision free control of multiple objects in the presence of moving obstacles. We compute the topological complexity of algorithms solving this problem. We apply topological tools and use information…

Optimization and Control · Mathematics 2007-05-23 Michael Farber , Mark Grant , Sergey Yuzvinsky

Autonomous systems, including robots and drones, face significant challenges when navigating through dynamic environments, particularly within urban settings where obstacles, fluctuating traffic, and pedestrian activity are constantly…

Robotics · Computer Science 2024-11-20 Daniel Ajeleye

Motion planning techniques for quadrotors have advanced significantly over the past decade. Most successful planners have two stages: a front-end that determines a path that incorporates geometric (or kinematic or input) constraints and…

Robotics · Computer Science 2024-03-11 Yifei Simon Shao , Yuwei Wu , Laura Jarin-Lipschitz , Pratik Chaudhari , Vijay Kumar

Efficient planning in dynamic and uncertain environments is a fundamental challenge in robotics. In the context of trajectory optimization, the feasibility of paths can change as the environment evolves. Therefore, it can be beneficial to…

Robotics · Computer Science 2019-08-05 Keshav Kolur , Sahit Chintalapudi , Byron Boots , Mustafa Mukadam

Motion planning for autonomous vehicles requires generating collision-free and dynamically feasible trajectories in complex environments under real-time constraints. While nonlinear optimal control formulations provide high-fidelity…

Robotics · Computer Science 2026-05-15 Matheus Wagner , Antônio Augusto Fröhlich

This letter suggests an integrated approach for a drone (or multirotor) to perform an autonomous videography task in a 3-D obstacle environment by following a moving object. The proposed system includes 1) a target motion prediction module…

Robotics · Computer Science 2019-11-22 Boseong Jeon , H. Jin Kim

Logic-Geometric Programming (LGP) is a powerful motion and manipulation planning framework, which represents hierarchical structure using logic rules that describe discrete aspects of problems, e.g., touch, grasp, hit, or push, and solves…

Robotics · Computer Science 2020-03-10 Jung-Su Ha , Danny Driess , Marc Toussaint

Motion planning in environments with multiple agents is critical to many important autonomous applications such as autonomous vehicles and assistive robots. This paper considers the problem of motion planning, where the controlled agent…

Robotics · Computer Science 2020-11-30 Yuxiao Chen , Ugo Rosolia , Chuchu Fan , Aaron D. Ames , Richard Murray

We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions. Our algorithms are optimal in a very concrete sense, namely, they have the…

Robotics · Computer Science 2021-01-26 Cesar A. Ipanaque Zapata , Jesus Gonzalez

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

Robotics · Computer Science 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

Feedback motion planning over cell decompositions provides a robust method for generating collision-free robot motion with formal guarantees. However, existing algorithms often produce paths with unnecessary bending, leading to slower…

Robotics · Computer Science 2026-04-16 Aref Amiri , Steven M. LaValle