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We study the least gradient problem in bounded regions with Lipschitz boundary in the plane. We provide a set of conditions for the existence of solutions in non-convex simply connected regions. We assume the boundary data is continuous and…

Analysis of PDEs · Mathematics 2024-08-26 Samer Dweik , Piotr Rybka , Ahmad Sabra

Robots are increasingly being deployed in agriculture to support sustainable practices and improve productivity. They offer strong potential to enable precise, efficient, and environmentally friendly operations. However, most existing…

Robotics · Computer Science 2026-03-31 Stephane Ngnepiepaye Wembe , Vincent Rousseau , Johann Laconte , Roland Lenain

We solve the problem of 6-DoF localisation and 3D dense reconstruction in spatial environments as approximate Bayesian inference in a deep state-space model. Our approach leverages both learning and domain knowledge from multiple-view…

Machine Learning · Statistics 2021-03-16 Atanas Mirchev , Baris Kayalibay , Patrick van der Smagt , Justin Bayer

Global localization of a mobile robot using planar surface segments extracted from depth images is considered. The robot's environment is represented by a topological map consisting of local models, each representing a particular location…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 Robert Cupec , Emmanuel Karlo Nyarko , Damir Filko , Andrej Kitanov , Ivan Petrović

This paper presents a unified framework for smooth convex regularization of discrete optimal transport problems. In this context, the regularized optimal transport turns out to be equivalent to a matrix nearness problem with respect to…

Machine Learning · Statistics 2018-07-17 Arnaud Dessein , Nicolas Papadakis , Jean-Luc Rouas

The complex dynamics of agile robotic legged locomotion requires motion planning to intelligently adjust footstep locations. Often, bipedal footstep and motion planning use mathematically simple models such as the linear inverted pendulum,…

Robotics · Computer Science 2022-03-30 Kevin Green , John Warila , Ross L. Hatton , Jonathan Hurst

In this paper, we introduce a novel approach to fine-grained cross-view geo-localization. Our method aligns a warped ground image with a corresponding GPS-tagged satellite image covering the same area using homography estimation. We first…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Xiaolong Wang , Runsen Xu , Zuofan Cui , Zeyu Wan , Yu Zhang

Deployment of automated ground vehicles (AGVs) beyond the confines of sunny and dry climes will require sub-lane-level positioning techniques based on radio waves rather than near-visible-light radiation. Like human sight, lidar and cameras…

Signal Processing · Electrical Eng. & Systems 2020-05-05 Lakshay Narula , Peter A. Iannucci , Todd E. Humphreys

Drones equipped with cameras are emerging as a powerful tool for large-scale aerial 3D scanning, but existing automatic flight planners do not exploit all available information about the scene, and can therefore produce inaccurate and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Mike Roberts , Debadeepta Dey , Anh Truong , Sudipta Sinha , Shital Shah , Ashish Kapoor , Pat Hanrahan , Neel Joshi

Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically parametrized by joint angles, generating a complicated…

Robotics · Computer Science 2023-12-12 Filip Marić , Matthew Giamou , Adam W. Hall , Soroush Khoubyarian , Ivan Petrović , Jonathan Kelly

Planning trajectories for nonholonomic systems is difficult and computationally expensive. When facing unexpected events, it may therefore be preferable to deform in some way the initially planned trajectory rather than to re-plan entirely…

Robotics · Computer Science 2011-05-31 Quang-Cuong Pham

Currently, digital maps are indispensable for automated driving. However, due to the low precision and reliability of GNSS particularly in urban areas, fusing trajectories of independent recording sessions and different regions is a…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Haohao Hu , Marc Sons , Christoph Stiller

Drift-free localization is essential for autonomous vehicles. In this paper, we address the problem by proposing a filter-based framework, which integrates the visual-inertial odometry and the measurements of the features in the pre-built…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yanmei Jiao , Shoudong Huang , Yue Wang , Rong Xiong

This work addresses the problem of kinematic trajectory planning for mobile manipulators with non-holonomic constraints, and holonomic operational-space tracking constraints. We obtain whole-body trajectories and time-varying kinematic…

Robotics · Computer Science 2018-01-17 Markus Giftthaler , Farbod Farshidian , Timothy Sandy , Lukas Stadelmann , Jonas Buchli

We propose an automatic method for pose and motion estimation against a ground surface for a ground-moving robot-mounted monocular camera. The framework adopts a semi-dense approach that benefits from both a feature-based method and an…

Robotics · Computer Science 2023-03-10 Masahiro Hirano , Taku Senoo , Norimasa Kishi , Masatoshi Ishikawa

This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in diffeomorphic registration methods that, together with the…

Numerical Analysis · Mathematics 2017-06-19 Jean Feydy , Benjamin Charlier , François-Xavier Vialard , Gabriel Peyré

State-of-the-art forward facing monocular visual-inertial odometry algorithms are often brittle in practice, especially whilst dealing with initialisation and motion in directions that render the state unobservable. In such cases having a…

Robotics · Computer Science 2019-05-15 Bo Fu , Kumar Shaurya Shankar , Nathan Michael

Affine Grassmannian has been favored for expressing proximity between lines and planes due to its theoretical exactness in measuring distances among features. Despite this advantage, the existing method can only measure the proximity…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Jaeho Shin , Hyeonjae Gil , Junwoo Jang , Maani Ghaffari , Ayoung Kim

We propose WOFT -- a novel method for planar object tracking that estimates a full 8 degrees-of-freedom pose, i.e. the homography w.r.t. a reference view. The method uses a novel module that leverages dense optical flow and assigns a weight…

Computer Vision and Pattern Recognition · Computer Science 2023-01-25 Jonas Serych , Jiri Matas

In this work, we research and evaluate multiple pose-graph fusion strategies for vehicle localization. We focus on fusing a single absolute localization system, i.e. automotive-grade Global Navigation Satellite System (GNSS) at 1 Hertz,…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Anweshan Das , Gijs Dubbelman
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