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State estimation techniques for continuum robots (CRs) typically involve using computationally complex dynamic models, simplistic shape approximations, or are limited to quasi-static methods. These limitations can be sensitive to unmodelled…

Robotics · Computer Science 2025-10-03 Spencer Teetaert , Sven Lilge , Jessica Burgner-Kahrs , Timothy D. Barfoot

Accurate, efficient, and robust state estimation is more important than ever in robotics as the variety of platforms and complexity of tasks continue to grow. Historically, discrete-time filters and smoothers have been the dominant…

Continuum robots have the potential to enable new applications in medicine, inspection, and countless other areas due to their unique shape, compliance, and size. Excellent progess has been made in the mechanical design and dynamic…

Robotics · Computer Science 2025-10-23 Sven Lilge , Timothy D. Barfoot , Jessica Burgner-Kahrs

In contrast to conventional robots, accurately modeling the kinematics and statics of continuum robots is challenging due to partially unknown material properties, parasitic effects, or unknown forces acting on the continuous body.…

Robotics · Computer Science 2024-12-03 Sven Lilge , Timothy D. Barfoot , Jessica Burgner-Kahrs

Continuous-time batch state estimation using Gaussian processes is an efficient approach to estimate the trajectories of robots over time. In the past, relatively simple physics-motivated priors have been considered for such approaches,…

Robotics · Computer Science 2025-06-04 Sven Lilge , Timothy D. Barfoot

Continuum robots are flexible, thin manipulators capable of navigating confined or delicate environments making them well suited for surgical applications. Previous approaches to continuum robot state estimation typically rely on…

Robotics · Computer Science 2026-02-24 James M. Ferguson , Alan Kuntz , Tucker Hermans

Continuous-time state estimation is gaining in popularity due to its abilities to provide smooth solutions, handle asynchronous sensors, and interpolate between data points. While there are two main paradigms, parametric (e.g., temporal…

Robotics · Computer Science 2026-05-12 Connor Holmes , Sven Lilge , Zi Cong Guo , Frank Dellaert , Timothy D. Barfoot

This paper presents a novel method for introducing time into discrete and continuous spatial representations used in mobile robotics, by modelling long-term, pseudo-periodic variations caused by human activities. Unlike previous approaches,…

Robotics · Computer Science 2026-03-16 Tomas Krajnik , Tomas Vintr , Sergi Molina , Jaime P. Fentanes , Grzegorz Cielniak , Tom Duckett

Continuum robots, made from flexible materials with continuous backbones, have several advantages over traditional rigid robots. Some of them are the ability to navigate through narrow or confined spaces, adapt to irregular or changing…

Robotics · Computer Science 2023-08-09 Hend Abdelaziz , Ayman Nada , Hiroyuki Ishii , Haitham El-Hussieny

This paper presents a learning-based approach for accurately estimating the 3D shape of flexible continuum robots subjected to external loads. The proposed method introduces a spatiotemporal neural network architecture that fuses…

Robotics · Computer Science 2025-10-28 Enyi Wang , Zhen Deng , Chuanchuan Pan , Bingwei He , Jianwei Zhang

Knowing the state of a robot is critical for many problems, such as feedback control. For continuum robots, state estimation is an incredible challenge. First, the motion of a continuum robot involves many kinematic states, including poses,…

Robotics · Computer Science 2024-02-15 Tongjia Zheng , Ciera McFarland , Margaret Coad , Hai Lin

Recent work on simultaneous trajectory estimation and mapping (STEAM) for mobile robots has found success by representing the trajectory as a Gaussian process. Gaussian processes can represent a continuous-time trajectory, elegantly handle…

Robotics · Computer Science 2015-04-13 Xinyan Yan , Vadim Indelman , Byron Boots

We present a novel continuous time trajectory representation based on a Chebyshev polynomial basis, which when governed by known dynamics models, allows for full trajectory and robot dynamics estimation, particularly useful for…

Robotics · Computer Science 2022-09-12 Varun Agrawal , Frank Dellaert

Continuum robots are typically slender and flexible with infinite freedoms in theory, which poses a challenge for their control and application. The shape sensing of continuum robots is vital to realise accuracy control. This letter…

Robotics · Computer Science 2021-03-10 Hao Cheng , Hongji Shang , Bin Lan , Houde Liu , Xueqian Wang , Bin Liang

State estimation is one of the fundamental problems in robotics. For soft continuum robots, this task is particularly challenging because their states (poses, strains, internal wrenches, and velocities) are inherently infinite-dimensional…

Robotics · Computer Science 2025-10-10 Tongjia Zheng , Jessica Burgner-Kahrs

Reconstructing the shape of continuum manipulators from sparse, noisy sensor data is a challenging task, owing to the infinite-dimensional nature of such systems. Existing approaches broadly trade off between parametric methods that yield…

Robotics · Computer Science 2026-04-20 Lorenzo Ticozzi , Patricio A. Vela , Panagiotis Tsiotras

In continuum robotics, real-time robust shape estimation is crucial for planning and control tasks that involve physical manipulation in complex environments. In this paper, we present a novel stochastic observer-based shape estimation…

Robotics · Computer Science 2025-11-14 Guoqing Zhang , Long Wang

For robots with low rigidity, determining the robot's state based solely on kinematics is challenging. This is particularly crucial for a robot whose entire body is in contact with the environment, as accurate state estimation is essential…

Robotics · Computer Science 2024-10-22 Kengo Iwao , Hikaru Arita , Kenji Tahara

This paper presents a generic motion model to capture mobile robots' dynamic behaviors (translation and rotation). The model is based on statistical models driven by white random processes and is formulated into a full state estimation…

Robotics · Computer Science 2020-10-14 Wei Xu , Dongjiao He , Yixi Cai , Fu Zhang

In this paper, the problem of state estimation, in the context of both filtering and smoothing, for nonlinear state-space models is considered. Due to the nonlinear nature of the models, the state estimation problem is generally intractable…

Machine Learning · Statistics 2021-11-24 Jarrad Courts , Adrian Wills , Thomas B. Schön
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