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Flexible sensors are increasingly employed in soft robotics and wearable devices to provide proprioception of freeform deformations.Although supervised learning can train shape predictors from sensor signals, prediction accuracy strongly…

Robotics · Computer Science 2026-03-12 Yingjun Tian , Guoxin Fang , Aoran Lyu , Xilong Wang , Zikang Shi , Yuhu Guo , Weiming Wang , Charlie C. L. Wang

Hyper-redundant robots offer high dexterity, making them good at operating in confined and unstructured environments. To extend the reachable workspace, we built a multi-segment flexible rack actuated planar robot. However, the compliance…

Robotics · Computer Science 2026-03-12 Yuli Song , Wenbo Li , Wenci Xin , Zhiqiang Tang , Daniela Rus , Cecilia Laschi

We introduce new manifold-based splines that are able to exactly reproduce B-splines on unstructured surface meshes. Such splines can be used in isogeometric analysis (IGA) to represent smooth surfaces of arbitrary topology. Since prevalent…

Numerical Analysis · Mathematics 2019-01-31 Qiaoling Zhang , Thomas Takacs , Fehmi Cirak

Polyhedral surfaces are fundamental objects in architectural geometry and industrial design. Whereas closeness of a given mesh to a smooth reference surface and its suitability for numerical simulations were already studied extensively, the…

Metric Geometry · Mathematics 2017-03-17 Felix Günther , Caigui Jiang , Helmut Pottmann

There is a surge of research interest in the field of tensegrity robotics. Robots developed under this paradigm provide many advantages and have distinguishing features in terms of structural compliance, dexterity, safety, and weight…

This paper develops a new way to create smooth piecewise polynomial free-form spline surfaces from quad- meshes that include T-junctions, where surface strips start or terminate. All mesh nodes can be interpreted as control points of…

Numerical Analysis · Mathematics 2017-05-03 Kestutis Karciauskas , Daniele Panozzo , Jörg Peters

This paper discusses modelling, controllability and gait design for a spherical flexible swimmer. We first present a kinematic model of a low Reynolds number spherical flexible swimming mechanism with periodic surface deformations in the…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Sudin Kadam , Ravi N. Banavar , Vivek Natarajan

Soft robots have drawn significant attention recently for their ability to achieve rich shapes when interacting with complex environments. However, their elasticity and flexibility compared to rigid robots also pose significant challenges…

Robotics · Computer Science 2022-05-04 Zhiwu Zheng , Prakhar Kumar , Yenan Chen , Hsin Cheng , Sigurd Wagner , Minjie Chen , Naveen Verma , James C. Sturm

Shape-morphing devices, a crucial branch in soft robotics, hold significant application value in areas like human-machine interfaces, biomimetic robotics, and tools for interacting with biological systems. To achieve three-dimensional (3D)…

Robotics · Computer Science 2024-01-30 Jue Wang , Dhirodaatto Sarkar , Jiaqi Suo , Alex Chortos

In this paper, a flexible tether-net system is applied to capture the space debris and a numerical framework is established to explore its nonlinear dynamic behaviors, which comprises four principal phases: folding, spreading, contacting,…

Numerical Analysis · Mathematics 2022-08-01 Weicheng Huang , Dongze He , Yanbin Li , Dahai Zhang , Huaiwu Zou , Hanwu Liu , Wenmiao Yang , Longhui Qin , Qingguo Fei

Model-based manipulation of deformable objects has traditionally dealt with objects while neglecting their dynamics, thus mostly focusing on very lightweight objects at steady state. At the same time, soft robotic research has made…

Robotics · Computer Science 2025-10-21 Sebastien Tiburzio , Tomás Coleman , Daniel Feliu-Talegon , Cosimo Della Santina

We propose DeepMetaHandles, a 3D conditional generative model based on mesh deformation. Given a collection of 3D meshes of a category and their deformation handles (control points), our method learns a set of meta-handles for each shape,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Minghua Liu , Minhyuk Sung , Radomir Mech , Hao Su

Studying the manipulation of deformable linear objects has significant practical applications in industry, including car manufacturing, textile production, and electronics automation. However, deformable linear object manipulation poses a…

Robotics · Computer Science 2023-07-20 Kejia Chen , Zhenshan Bing , Fan Wu , Yuan Meng , Andre Kraft , Sami Haddadin , Alois Knoll

This paper presents the first method for constructing bases for polynomial spline spaces over an arbitrary T-meshes (PT-splines for short). We construct spline basis functions for an arbitrary T-mesh by first converting the T-mesh into a…

Numerical Analysis · Mathematics 2026-05-15 Shicong Zhong , Falai Chen , Bingru Huang

Polynomial splines are ubiquitous in the fields of computer aided geometric design and computational analysis. Splines on T-meshes, especially, have the potential to be incredibly versatile since local mesh adaptivity enables efficient…

Algebraic Geometry · Mathematics 2019-03-15 Deepesh Toshniwal , Bernard Mourrain , Thomas Hughes

We present a novel method to perform numerical integration over curved polyhedra enclosed by high-order parametric surfaces. Such a polyhedron is first decomposed into a set of triangular and/or rectangular pyramids, whose certain faces…

Numerical Analysis · Mathematics 2022-05-11 Pablo Antolin , Xiaodong Wei , Annalisa Buffa

In this paper, we introduce a method to rapidly create 3D geometries by folding 2D sheets via pull-up nets. Given a 3D structure, we unfold its mesh into a planar 2D sheet using heuristic algorithms and populate these with cutlines and…

Human-Computer Interaction · Computer Science 2022-12-21 Lauren Niu , Xinyi Yang , Martin Nisser , Stefanie Mueller

We investigate the folding problem that asks if a polygon P can be folded to a polyhedron Q for given P and Q. Recently, an efficient algorithm for this problem has been developed when Q is a box. We extend this idea to regular polyhedra,…

Computational Geometry · Computer Science 2021-06-01 Tonan Kamata , Akira Kadoguchi , Takashi Horiyama , Ryuhei Uehara

This paper proposes a new control framework for manipulating soft objects. A Deep Reinforcement Learning (DRL) approach is used to make the shape of a deformable object reach a set of desired points by controlling a robotic arm which…

We study flexible polyhedral nets in isotropic geometry. This geometry has a degenerate metric, but there is a natural notion of flexibility. We study infinitesimal and finite flexibility, and classify all finitely flexible polyhedral nets…

Metric Geometry · Mathematics 2025-04-22 O. Pirahmad , H. Pottmann , M. Skopenkov