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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

A quadratically constrained quadratic program (QCQP) is an optimization problem in which the objective function is a quadratic function and the feasible region is defined by quadratic constraints. Solving non-convex QCQP to global…

Optimization and Control · Mathematics 2018-12-27 Asteroide Santana , Santanu S. Dey

(Visual) Simultaneous Localization and Mapping (SLAM) remains a fundamental challenge in enabling autonomous systems to navigate and understand large-scale environments. Traditional SLAM approaches struggle to balance efficiency and…

Robotics · Computer Science 2025-10-31 Tian Yi Lim , Boyang Sun , Marc Pollefeys , Hermann Blum

Learning 3D representations that generalize well to arbitrarily oriented inputs is a challenge of practical importance in applications varying from computer vision to physics and chemistry. We propose a novel multi-resolution convolutional…

Machine Learning · Computer Science 2021-03-22 James Fox , Bo Zhao , Sivasankaran Rajamanickam , Rampi Ramprasad , Le Song

Underwater monocular SLAM is a challenging problem with applications from autonomous underwater vehicles to marine archaeology. However, existing underwater SLAM methods struggle to produce maps with high-fidelity rendering. In this paper,…

Robotics · Computer Science 2026-04-07 Kangxu Wang , Shaofeng Zou , Chenxing Jiang , Yixiang Dai , Siang Chen , Shaojie Shen , Guijin Wang

In this work we deal with the problem of support estimation under shape restrictions. The shape restriction we deal with is an extension of the notion of convexity named alpha-convexity. Instead of assuming, as in the convex case, the…

Methodology · Statistics 2011-05-31 Beatriz Pateiro-López , Alberto Rodríguez Casal

Traditional SLAM algorithms are typically based on artificial features, which lack high-level information. By introducing semantic information, SLAM can own higher stability and robustness rather than purely hand-crafted features. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Xianwei Meng , Bonian Li

Visual relocalization is crucial for autonomous visual localization and navigation of mobile robotics. Due to the improvement of CNN-based object detection algorithm, the robustness of visual relocalization is greatly enhanced especially in…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Yifan Zhu , Lingjuan Miao , Haitao Wu , Zhiqiang Zhou , Weiyi Chen , Longwen Wu

The convex hull of a set of points, $C$, serves to expose extremal properties of $C$ and can help identify elements in $C$ of high interest. For many problems, particularly in the presence of noise, the true vertex set (and facets) may be…

Computational Geometry · Computer Science 2016-11-07 Lori Ziegelmeier , Michael Kirby , Chris Peterson

The traditional Simultaneous Localization And Mapping (SLAM) systems rely on the assumption of a static environment and fail to accurately estimate the system's location when dynamic objects are present in the background. While…

Robotics · Computer Science 2023-02-24 Yaoming Zhuang , Pengrun Jia , Zheng Liu , Li Li , Chengdong Wu , Wei cui , Zhanlin Liu

Simultaneous mapping and localization (SLAM) in an real indoor environment is still a challenging task. Traditional SLAM approaches rely heavily on low-level geometric constraints like corners or lines, which may lead to tracking failure in…

Robotics · Computer Science 2019-10-01 Xueyang Kang , Shunying Yuan

Binary tomography is concerned with the recovery of binary images from a few of their projections (i.e., sums of the pixel values along various directions). To reconstruct an image from noisy projection data, one can pose it as a…

Image and Video Processing · Electrical Eng. & Systems 2020-12-17 Ajinkya Kadu , Tristan van Leeuwen

In object-based Simultaneous Localization and Mapping (SLAM), 6D object poses offer a compact representation of landmark geometry useful for downstream planning and manipulation tasks. However, measurement ambiguity then arises as objects…

Robotics · Computer Science 2021-08-04 Jiahui Fu , Qiangqiang Huang , Kevin Doherty , Yue Wang , John J. Leonard

This paper addresses the task of learning convex regularizers to guide the reconstruction of images from limited data. By imposing that the reconstruction be amplitude-equivariant, we narrow down the class of admissible functionals to those…

Machine Learning · Statistics 2026-01-19 Michael Unser , Stanislas Ducotterd

In the present work, we consider Zuckerberg's method for geometric convex-hull proofs introduced in [Geometric proofs for convex hull defining formulations, Operations Research Letters 44(5), 625-629 (2016)]. It has only been scarcely…

Optimization and Control · Mathematics 2021-09-16 Andreas Bärmann , Oskar Schneider

To enhance the performance and effect of AR/VR applications and visual assistance and inspection systems, visual simultaneous localization and mapping (vSLAM) is a fundamental task in computer vision and robotics. However, traditional vSLAM…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Yichen Chen , Yiqi Pan , Ruyu Liu , Haoyu Zhang , Guodao Zhang , Bo Sun , Jianhua Zhang

This paper presents a Visual Inertial Odometry Landmark-based Simultaneous Localisation and Mapping algorithm based on a distributed block coordinate nonlinear Moving Horizon Estimation scheme. The main advantage of the proposed method is…

Robotics · Computer Science 2023-04-05 Emilien Flayac , Iman Shames

Convolutional networks (ConvNets) have achieved promising accuracy for various anatomical segmentation tasks. Despite the success, these methods can be sensitive to data appearance variations. Considering the large variability of scans…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Yuan Liang , Weinan Song , Jiawei Yang , Liang Qiu , Kun Wang , Lei He

We consider the limits of super-resolution using imaging constraints. Due to various theoretical and practical limitations, reconstruction-based methods have been largely restricted to small increases in resolution. In addition, motion-blur…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Gabby Litterio , Juan-David Lizarazo-Ferro , Pedro Felzenszwalb , Rashid Zia

Motivated by applications in robotics and computer vision, we study problems related to spatial reasoning of a 3D environment using sublevel sets of polynomials. These include: tightly containing a cloud of points (e.g., representing an…

Optimization and Control · Mathematics 2017-03-09 Amir Ali Ahmadi , Georgina Hall , Ameesh Makadia , Vikas Sindhwani