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This study explores the applicability of a graph-based interaction-aware trajectory prediction model, originally developed for the transportation domain, to forecast particle trajectories in three-dimensional discrete element simulations.…

Computational Physics · Physics 2025-03-07 Abhishek Setty , Lukas Morand , Poojitha Ramachandra , Claas Bierwisch

Trajectory prediction plays a crucial role in the autonomous driving stack by enabling autonomous vehicles to anticipate the motion of surrounding agents. Goal-based prediction models have gained traction in recent years for addressing the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Sepideh Afshar , Nachiket Deo , Akshay Bhagat , Titas Chakraborty , Yunming Shao , Balarama Raju Buddharaju , Adwait Deshpande , Henggang Cui

This paper develops a real-time, search-based aircraft contingency landing planner that minimizes traffic disruptions while accounting for ground risk. The airspace model captures dense air traffic departure and arrival flows, helicopter…

Robotics · Computer Science 2026-02-10 H. Emre Tekaslan , Ella M. Atkins

As the potential for autonomous vehicles to be integrated on a large scale into modern traffic systems continues to grow, ensuring safe navigation in dynamic environments is crucial for smooth integration. To guarantee safety and prevent…

We present Model Predictive Planning (MPP), a trajectory planner for low-agility vehicles such as a fixed-wing aircraft to navigate obstacle-laden environments. MPP consists of (1) a multi-path planning procedure that identifies candidate…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Matthew T. Wallace , Brett Streetman , Laurent Lessard

Trajectory prediction in a cluttered environment is key to many important robotics tasks such as autonomous navigation. However, there are an infinite number of possible trajectories to consider. To simplify the space of trajectories under…

Robotics · Computer Science 2023-01-25 Jennifer Wakulicz , Ki Myung Brian Lee , Teresa Vidal-Calleja , Robert Fitch

Perceived risk is crucial in designing trustworthy and acceptable vehicle automation systems. However, our understanding of its dynamics is limited, and models for perceived risk dynamics are scarce in the literature. This study formulates…

Human-Computer Interaction · Computer Science 2023-06-16 Xiaolin He , Riender Happee , Meng Wang

Projection methods are popular algorithms for iteratively solving feasibility problems in Euclidean or even Hilbert spaces. They employ (selections of) nearest point mappings to generate sequences that are designed to approximate a point in…

Optimization and Control · Mathematics 2019-01-25 Heinz H. Bauschke , Sylvain Gretchko , Walaa M. Moursi

Future urban transportation concepts include a mixture of ground and air vehicles with varying degrees of autonomy in a congested environment. In such dynamic environments, occupancy maps alone are not sufficient for safe path planning.…

Robotics · Computer Science 2021-07-26 Ransalu Senanayake , Kyle Beltran Hatch , Jason Zheng , Mykel J. Kochenderfer

This study proposes a new automated strategy for designing and optimizing three-dimensional interplanetary low-thrust (LT) trajectories. The method formulates the design as a hybrid optimal control problem and solves it using a two-step…

Optimization and Control · Mathematics 2023-09-22 Burhani M. Burhani , Elena Fantino , Roberto Flores , Manuel Sanjurjo-Rivo

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

Robotics · Computer Science 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

Despite their abundance in robotics and nature, underactuated systems remain a challenge for control engineering. Trajectory optimization provides a generally applicable solution, however its efficiency strongly depends on the skill of the…

Robotics · Computer Science 2020-03-04 Christian Eilers , Jonas Eschmann , Robin Menzenbach , Boris Belousov , Fabio Muratore , Jan Peters

This is a chapter in the Encyclopedia of Robotics. It is devoted to the study of complexity of complete (or exact) algorithms for robot motion planning. The term ``complete'' indicates that an approach is guaranteed to find the correct…

Robotics · Computer Science 2020-03-31 Kiril Solovey

Planes are familiar mathematical objects which lie at the subtle boundary between continuous geometry and discrete combinatorics. A plane is geometrical, certainly, but the ways that two planes can interact break cleanly into discrete sets:…

History and Overview · Mathematics 2025-04-17 Stefan Forcey

Due to the advent of new mobile devices and tracking sensors in recent years, huge amounts of data are being produced every day. Therefore, novel methodologies need to emerge that dive through this vast sea of information and generate…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Ioannis Kontopoulos , Antonios Makris , Konstantinos Tserpes , Vania Bogorny

Complex patterns generated by the time evolution of a one-dimensional digitalized coupled map lattice are quantitatively analyzed. A method for discerning complexity among the different patterns is implemented. The quantitative results…

Pattern Formation and Solitons · Physics 2009-11-10 Juan Sanchez , Ricardo Lopez-Ruiz

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Giacomo Baggio , Marco Fabris

Accurate multi-step flight trajectory prediction plays an important role in Air Traffic Control, which can ensure the safety of air transportation. Two main issues limit the flight trajectory prediction performance of existing works. The…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Lan Wu , Xuebin Wang , Ruijuan Chu , Guangyi Liu , Jing Zhang , Linyu Wang

Temporal graphs arise when modeling interactions that evolve over time. They usually come in several flavors, depending on the number of parameters used to describe the temporal aspects of the interactions: time of appearance, duration,…

Data Structures and Algorithms · Computer Science 2026-01-26 Guillaume Aubian , Filippo Brunelli , Feodor F Dragan , Guillaume Ducoffe , Michel Habib , Allen Ibiapina , Laurent Viennot

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less…

Data Analysis, Statistics and Probability · Physics 2012-12-27 H. V. Ribeiro , L. Zunino , E. K. Lenzi , P. A. Santoro , R. S. Mendes
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