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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

The goal of this study is to provide a method for computing the following: Given a network of curves in 3d (satisfying a condition at the intersection points), compute efficiently a smooth surface such that the curves are geodesics on it.…

Computational Geometry · Computer Science 2024-06-04 Tom Gilat

Concept of curvature of liquid surrounding a spherical surface seems obvious in daily life, but based on earthly conditions everywhere. However, our understanding about the concept seems more transparent when we keep the system out of the…

Fluid Dynamics · Physics 2020-08-27 Rajdeep Tah , Sarbajit Mazumdar , Krishna Kant Parida

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

Soft Condensed Matter · Physics 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

Reasoning about rolling and sliding contact, or roll-slide contact for short, is critical for dexterous manipulation tasks that involve intricate geometries. But existing works on roll-slide contact mostly focus on continuous shapes with…

Robotics · Computer Science 2025-08-19 Sunyu Wang , Arjun S. Lakshmipathy , Jean Oh , Nancy S. Pollard

The paper focuses on synthesizing optimal contact curves that can be used to ensure a rolling constraint between two bodies in relative motion. We show that geodesic based contact curves generated on both the contacting surfaces are…

Robotics · Computer Science 2021-06-15 Rajesh Kumar , Sudipto Mukherjee

Grasping objects of different shapes and sizes - a foundational, effortless skill for humans - remains a challenging task in robotics. Although model-based approaches can predict stable grasp configurations for known object models, they…

Robotics · Computer Science 2022-11-22 Malte Mosbach , Sven Behnke

Recent advances have been made in learning of grasps for fully actuated hands. A typical approach learns the target locations of finger links on the object. When a new object must be grasped, new finger locations are generated, and a…

Robotics · Computer Science 2016-09-27 Marek Kopicki , Carlos J. Rosales , Hamal Marino , Marco Gabiccini , Jeremy L. Wyatt

Models for fluid deformable surfaces provide valid theories to describe the dynamics of thin fluidic sheets of soft materials. To use such models in morphogenesis and development requires to incorporate active forces. We consider active…

Mathematical Physics · Physics 2024-08-20 Maik Porrmann , Axel Voigt

Soft interfaces can mediate interactions between particles bound to them. The force transmitted through the surface geometry on a particle may be expressed as a closed line integral of the surface stress tensor around that particle. This…

Soft Condensed Matter · Physics 2007-05-23 Martin Michael Mueller , Markus Deserno , Jemal Guven

We study the fluid-mediated approach of a deformable axisymmetric object towards a rigid substrate, focusing on how its shape influences contact formation. For low approach velocities and large Stokes numbers, we show that sharper profiles…

Soft Condensed Matter · Physics 2025-10-21 Joaquin Garcia-Suarez

Modeling contact between deformable solids is a fundamental problem in computer animation, mechanical design, and robotics. Existing methods based on $C^0$-discretizations -- piece-wise linear or polynomial surfaces -- suffer from…

Graphics · Computer Science 2023-08-04 Yinwei Du , Yue Li , Stelian Coros , Bernhard Thomaszewski

Many innovative applications require establishing correspondences among 3D geometric objects. However, the countless possible deformations of smooth surfaces make shape matching a challenging task. Finding an embedding to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Riccardo Marin , Souhaib Attaiki , Simone Melzi , Emanuele Rodolà , Maks Ovsjanikov

Objects we interact with and manipulate often share similar parts, such as handles, that allow us to transfer our actions flexibly due to their shared functionality. This work addresses the problem of transferring a grasp experience or a…

Robotics · Computer Science 2023-08-21 Ahmet Tekden , Marc Peter Deisenroth , Yasemin Bekiroglu

Intelligence lies not only in the brain (decision-making processes) but in the body (physical morphology). The morphology of robots can significantly influence how they interact with the physical world, crucial for manipulating objects in…

Robotics · Computer Science 2026-01-13 Ziqiao Wang , Serhat Demirtas , Fabio Zuliani , Jamie Paik

Earlier works found out spontaneous directional motion of liquid droplets on hydrophilic conical surfaces, however, not hydrophobic case. Here we show that droplets on any surface may take place spontaneous directional motion without…

Chemical Physics · Physics 2011-01-21 Cunjing Lv , Chao Chen , Yajun Yin , Fan-gang Tseng , Quanshui Zheng

A convex surface contracting by a strictly monotone, homogeneous degree one function of curvature remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the…

Differential Geometry · Mathematics 2010-02-14 Ben Andrews

Reconstructing hand-held objects from monocular RGB images is an appealing yet challenging task. In this task, contacts between hands and objects provide important cues for recovering the 3D geometry of the hand-held objects. Though recent…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Junxing Hu , Hongwen Zhang , Zerui Chen , Mengcheng Li , Yunlong Wang , Yebin Liu , Zhenan Sun

Soft and biological matter come in a variety of shapes and geometries. When soft surfaces that do not fit into each other due to a mismatch in Gaussian curvatures form an interface, beautiful geometry-induced patterns emerge. In this paper,…

Soft Condensed Matter · Physics 2024-04-05 Aashna Chawla , Deepak Kumar

Regulating grasping force to reduce slippage during dynamic object interaction remains a fundamental challenge in robotic manipulation, especially when objects are manipulated by multiple rolling contacts, have unknown properties (such as…

Robotics · Computer Science 2025-12-25 Cheng-Yu Kuo , Hirofumi Shin , Takamitsu Matsubara
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