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Force-directed layouts belong to a popular class of methods used to position nodes in a node-link diagram. However, they typically lack direct consideration of global structures, which can result in visual clutter and the overlap of…

Human-Computer Interaction · Computer Science 2022-08-16 Bhavana Doppalapudi , Bei Wang , Paul Rosen

This article studies the robust version of persistent homology based on trimming methodology to capture the geometric feature through support of the data in presence of outliers. Precisely speaking, the proposed methodology works when the…

Methodology · Statistics 2026-01-01 Tuhin Subhra Mahato , Subhra Sankar Dhar

Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their $0$-dimensional homology. While this area has been substantially studied, we present a new approach to…

Algebraic Topology · Mathematics 2023-10-03 Omer Bobrowski , Primoz Skraba

Persistent homology is a popular and powerful tool for capturing topological features of data. Advances in algorithms for computing persistent homology have reduced the computation time drastically -- as long as the algorithm does not…

Computational Geometry · Computer Science 2013-10-03 Ulrich Bauer , Michael Kerber , Jan Reininghaus

Persistent homology is a popular computational tool for analyzing the topology of point clouds, such as the presence of loops or voids. However, many real-world datasets with low intrinsic dimensionality reside in an ambient space of much…

Machine Learning · Computer Science 2024-11-01 Sebastian Damrich , Philipp Berens , Dmitry Kobak

Planning motions to grasp an object in cluttered and uncertain environments is a challenging task, particularly when a collision-free trajectory does not exist and objects obstructing the way are required to be carefully grasped and moved…

Robotics · Computer Science 2017-11-28 Muhayyuddin , Mark Moll , Lydia Kavraki , Jan Rosell

Non-prehensile manipulation such as pushing is typically subject to uncertain, non-smooth dynamics. However, modeling the uncertainty of the dynamics typically results in intractable belief dynamics, making data-efficient planning under…

Robotics · Computer Science 2024-06-28 Julius Jankowski , Lara Brudermüller , Nick Hawes , Sylvain Calinon

Articulated objects like doors, drawers, valves, and tools are pervasive in our everyday unstructured dynamic environments. Articulation models describe the joint nature between the different parts of an articulated object. As most of these…

Robotics · Computer Science 2019-03-21 Yeshasvi Tirupachuri , Silvio Traversaro , Francesco Nori , Daniele Pucci

Persistent homology is a popular tool in Topological Data Analysis. It provides numerical characteristics of data sets which reflect global geometric properties. In order to be useful in practice, for example for feature generation in…

Computational Geometry · Computer Science 2020-02-17 Boris Goldfarb

Picking unseen objects from clutter is a difficult problem because of the variability in objects (shape, size, and material) and occlusion due to clutter. As a result, it becomes difficult for grasping methods to segment the objects…

Robotics · Computer Science 2023-12-21 Prem Raj , Aniruddha Singhal , Vipul Sanap , L. Behera , Rajesh Sinha

This paper presents a robotic pick-and-place system that is capable of grasping and recognizing both known and novel objects in cluttered environments. The key new feature of the system is that it handles a wide range of object categories…

Biological and physical systems often exhibit distinct structures at different spatial/temporal scales. Persistent homology is an algebraic tool that provides a mathematical framework for analyzing the multi-scale structures frequently…

Algebraic Topology · Mathematics 2016-02-01 Jonathan Jaquette , Miroslav Kramár

Nonprehensile manipulation through precise pushing is an essential skill that has been commonly challenged by perception and physical uncertainties, such as those associated with contacts, object geometries, and physical properties. For…

Robotics · Computer Science 2024-03-21 Gaotian Wang , Kejia Ren , Kaiyu Hang

Shooting methods are an efficient approach to solving nonlinear optimal control problems. As they use local optimization, they exhibit favorable convergence when initialized with a good warm-start but may not converge at all if provided…

Robotics · Computer Science 2021-03-25 Wolfgang Merkt , Vladimir Ivan , Traiko Dinev , Ioannis Havoutis , Sethu Vijayakumar

In this paper, we present asymmetric pivot manipulation for picking up rigid hollow objects to achieve a hole grasp. The pivot motion, executed by a position-controlled robotic arm, enables the gripper to effectively grasp hollow objects…

Robotics · Computer Science 2025-04-09 Jinseong Park , Jeong-Jung Kim , Doo-Yeol Koh

Pushing is a motion primitive useful to handle objects that are too large, too heavy, or too cluttered to be grasped. It is at the core of much of robotic manipulation, in particular when physical interaction is involved. It seems…

Robotics · Computer Science 2016-08-05 Kuan-Ting Yu , Maria Bauza , Nima Fazeli , Alberto Rodriguez

When operating in unstructured environments such as warehouses, homes, and retail centers, robots are frequently required to interactively search for and retrieve specific objects from cluttered bins, shelves, or tables. Mechanical Search…

In this paper, we propose a novel framework for dynamical analysis of human actions from 3D motion capture data using topological data analysis. We model human actions using the topological features of the attractor of the dynamical system.…

Computational Geometry · Computer Science 2016-03-18 Vinay Venkataraman , Karthikeyan Natesan Ramamurthy , Pavan Turaga

As compared to typical mobile manipulation tasks, sequential mobile manipulation poses a unique challenge -- as the robot operates over extended periods, successful task completion is not solely dependent on consistent motion generation but…

Robotics · Computer Science 2026-03-12 Xintong Du , Jingxing Qian , Siqi Zhou , Angela P. Schoellig

Complex manipulation tasks, such as rearrangement planning of numerous objects, are combinatorially hard problems. Existing algorithms either do not scale well or assume a great deal of prior knowledge about the environment, and few offer…

Robotics · Computer Science 2021-03-25 Vasileios Vasilopoulos , Yiannis Kantaros , George J. Pappas , Daniel E. Koditschek