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This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate…

Information Theory · Computer Science 2025-03-14 Vojtech Neuman , Miloslav Capek , Lukas Jelinek

We present a novel approach for motion planning in mobile robotics under sensing and motion uncertainty based on state lattices with graduated fidelity. The probability of collision is reliably estimated considering the robot shape, and the…

Robotics · Computer Science 2019-06-03 Adrián González-Sieira , Manuel Mucientes , Alberto Bugarín

Inspired by the quest for shape-shifting structures in a range of applications, we show how to create morphable structural materials using a neutrally stable unit cell as a building block. This unit cell is a self-stressed hinged structure…

Soft Condensed Matter · Physics 2021-10-18 Gaurav Chaudhary , S Ganga Prasath , Edward Soucy , L Mahadevan

This paper investigates efficient techniques to collect and concentrate an under-actuated particle swarm despite obstacles. Concentrating a swarm of particles is of critical importance in health-care for targeted drug delivery, where…

Robotics · Computer Science 2017-01-03 Arun V. Mahadev , Dominik Krupke , Jan-Marc Reinhardt , Sándor P. Fekete , Aaron T. Becker

While motion planning techniques for automated vehicles in a reactive and anticipatory manner are already widely presented, approaches to cooperative motion planning are still remaining. In this paper, we present an approach to enhance…

Robotics · Computer Science 2017-08-24 Maximilian Naumann , Christoph Stiller

This work proposes a method for effectively computing manipulation paths to rearrange similar objects in a cluttered space. The solution can be used to place similar products in a factory floor in a desirable arrangement or for retrieving a…

Robotics · Computer Science 2014-04-29 Athanasios Krontiris , Rahul Shome , Andrew Dobson , Andrew Kimmel , Issac Yochelson , Kostas Bekris

Modern sampling-based motion planning algorithms typically take between hundreds of milliseconds to dozens of seconds to find collision-free motions for high degree-of-freedom problems. This paper presents performance improvements of more…

Robotics · Computer Science 2023-10-02 Wil Thomason , Zachary Kingston , Lydia E. Kavraki

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

Abstract: we present a framework for robust autonomous driving motion planning system in urban environments which includes trajectory refinement, trajectory interpolation, avoidance of static and dynamic obstacles, and trajectory tracking.…

Systems and Control · Electrical Eng. & Systems 2019-12-11 Yuncheng Jiang , Xiaofeng Jin , Yanfei Xiong , Zhaoyong Liu

Constraining motion to a flat surface is a fundamental requirement for equipment across science and engineering. Modern precision robotic motion systems, such as gantries, rely on the flatness of components, including guide rails and…

This paper introduces a new shape-matching methodology, combinative matching, to combine interlocking parts for geometric shape assembly. Previous methods for geometric assembly typically rely on aligning parts by finding identical surfaces…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Nahyuk Lee , Juhong Min , Junhong Lee , Chunghyun Park , Minsu Cho

Physics-based manipulation in clutter involves complex interaction between multiple objects. In this paper, we consider the problem of learning, from interaction in a physics simulator, manipulation skills to solve this multi-step…

Robotics · Computer Science 2019-07-29 Wissam Bejjani , Mehmet R. Dogar , Matteo Leonetti

Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the space-time symmetries of the corresponding equations of motion. A systematic analysis of…

Mesoscale and Nanoscale Physics · Physics 2014-12-23 Sergey Denisov , Sergej Flach , Peter Hanggi

We address the problem of applying Task and Motion Planning (TAMP) in real world environments. TAMP combines symbolic and geometric reasoning to produce sequential manipulation plans, typically specified as joint-space trajectories, which…

Robotics · Computer Science 2020-05-06 Toki Migimatsu , Jeannette Bohg

This paper presents a novel method to generate spatial constraints for motion planning in dynamic environments. Motion planning methods for autonomous driving and mobile robots typically need to rely on the spatial constraints imposed by a…

Robotics · Computer Science 2021-10-29 Han Hu , Peyman Yadmellat

Motion planning and control are key problems in a collection of robotic applications including the design of autonomous agile vehicles and of minimalist manipulators. These problems can be accurately formalized within the language of affine…

Optimization and Control · Mathematics 2007-05-23 Sonia Martinez , Jorge Cortes , Francesco Bullo

We show the first non-trivial positive algorithmic results (i.e. programs whose output is larger than their size), in a model of self-assembly that has so far resisted many attempts of formal analysis or programming: the planar…

Computational Geometry · Computer Science 2014-07-11 Pierre-Étienne Meunier

Effective motion planning in high dimensional spaces is a long-standing open problem in robotics. One class of traditional motion planning algorithms corresponds to potential-based motion planning. An advantage of potential based motion…

Robotics · Computer Science 2024-07-09 Yunhao Luo , Chen Sun , Joshua B. Tenenbaum , Yilun Du

Let X be a subcomplex of the standard CW-decomposition of the n-dimensional torus. We exhibit an explicit optimal motion planning algorithm for X. This construction is used to calculate the topological complexity of complements of general…

Geometric Topology · Mathematics 2008-12-31 Daniel C. Cohen , Goderdzi Pruidze

The paper deals with motion planning for a spin-rolling sphere when the sphere follows a straight path on a plane. Since the motion of the sphere is constrained by the straight line, the control of the sphere's spin motion is essential to…

Robotics · Computer Science 2021-11-17 Seyed Amir Tafrishi , Mikhail Svinin , Motoji Yamamoto , Yasuhisa Hirata