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Simultaneous Localization and Mapping (SLAM) stands as one of the critical challenges in robot navigation. A SLAM system often consists of a front-end component for motion estimation and a back-end system for eliminating estimation drifts.…

Robotics · Computer Science 2025-08-12 Taimeng Fu , Shaoshu Su , Yiren Lu , Chen Wang

In this paper, we consider the problem of planar graph-based simultaneous localization and mapping (SLAM) that involves both poses of the autonomous agent and positions of observed landmarks. We present CPL-SLAM, an efficient and…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Taosha Fan , Hanlin Wang , Michael Rubenstein , Todd Murphey

This paper addresses the localization problem. The extended Kalman filter (EKF) is employed to localize a unicycle-like mobile robot equipped with a laser range finder (LRF) sensor and an omni-directional camera. The LRF is used to scan the…

Robotics · Computer Science 2016-11-30 Tran Hiep Dinh , Manh Duong Phung , Thuan Hoang Tran , Quang Vinh Tran

This article presents a new open-source C++ implementation to solve the SLAM problem, which is focused on genericity, versatility and high execution speed. It is based on an original object oriented architecture, that allows the combination…

Observability is a key aspect of the state estimation problem of SLAM, However, the dimension and variables of SLAM system might be changed with new features, to which little attention is paid in the previous work. In this paper, a unified…

Robotics · Computer Science 2012-07-27 Qiang Fang , Xinsheng Huang

SLAM systems based on NeRF have demonstrated superior performance in rendering quality and scene reconstruction for static environments compared to traditional dense SLAM. However, they encounter tracking drift and mapping errors in…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Mingrui Li , Yiming Zhou , Guangan Jiang , Tianchen Deng , Yangyang Wang , Hongyu Wang

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh

In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the domain. In some…

Analysis of PDEs · Mathematics 2024-02-02 Raul K. C. Araújo , Enrique Fernández-Cara , Diego A. Souza

In this paper, we develop a robust, efficient visual SLAM system that utilizes spatial inhibition of low threshold, baseline lines, and closed-loop keyframe features. Using ORB-SLAM2, our methods include stereo matching, frame tracking,…

Robotics · Computer Science 2022-07-13 Meiyu Zhi

Many data-science problems can be formulated as an inverse problem, where the parameters are estimated by minimizing a proper loss function. When complicated black-box models are involved, derivative-free optimization tools are often…

Numerical Analysis · Mathematics 2021-10-19 Neil K. Chada , Xin T. Tong

The extended Kalman filter (EKF) has been the industry standard for state estimation problems over the past sixty years. The classical formulation of the EKF is posed for nonlinear systems defined on global Euclidean spaces. The design…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Yixiao Ge , Pieter van Goor , Robert Mahony

Visual SLAM (Simultaneous Localization and Mapping) based on planar features has found widespread applications in fields such as environmental structure perception and augmented reality. However, current research faces challenges in…

Robotics · Computer Science 2024-02-15 Xinggang Hu , Yanmin Wu , Mingyuan Zhao , Linghao Yang , Xiangkui Zhang , Xiangyang Ji

Recent research on Simultaneous Localization and Mapping (SLAM) based on implicit representation has shown promising results in indoor environments. However, there are still some challenges: the limited scene representation capability of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Wenhua Wu , Guangming Wang , Ting Deng , Sebastian Aegidius , Stuart Shanks , Valerio Modugno , Dimitrios Kanoulas , Hesheng Wang

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

Optimization and Control · Mathematics 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

We present a novel sampling-based method for estimating probabilities of rare or failure events. Our approach is founded on the Ensemble Kalman filter (EnKF) for inverse problems. Therefore, we reformulate the rare event problem as an…

Numerical Analysis · Mathematics 2021-12-15 Fabian Wagner , Iason Papaioannou , Elisabeth Ullmann

The most popular image matching algorithm SIFT, introduced by D. Lowe a decade ago, has proven to be sufficiently scale invariant to be used in numerous applications. In practice, however, scale invariance may be weakened by various sources…

Computer Vision and Pattern Recognition · Computer Science 2015-11-30 Ives Rey-Otero , Jean-Michel Morel , Mauricio Delbracio

Recently, the explicit constraint force method (ECFM) was introduced as a principled approach to solution reconstruction in the presence of missing physics. In solution reconstruction, parameters of a physical model are estimated from…

Numerical Analysis · Mathematics 2025-12-18 Conor Rowan

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

Numerical Analysis · Mathematics 2016-09-21 Claudia Schillings , Andrew M. Stuart

We introduce a high-fidelity neural implicit dense visual Simultaneous Localization and Mapping (SLAM) system, termed DF-SLAM. In our work, we employ dictionary factors for scene representation, encoding the geometry and appearance…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Weifeng Wei , Jie Wang , Shuqi Deng , Jie Liu

We investigate a scenario where a chaser spacecraft or satellite equipped with a monocular camera navigates in close proximity to a target spacecraft. The satellite's primary objective is to construct a representation of the operational…

Robotics · Computer Science 2025-01-22 Lorenzo Ticozzi , Panagiotis Tsiotras