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This article provides numerical simulation of an optimal transport path from a single source to an atomic measure of equal total mass. We first construct an initial transport path, and then modify the path as much as possible by using both…

最优化与控制 · 数学 2021-09-02 Qinglan Xia

Motion planning for locomotion systems typically requires translating high-level rigid-body tasks into low-level joint trajectories-a process that is straightforward for car-like robots with fixed, unbounded actuation inputs but more…

机器人学 · 计算机科学 2025-02-26 Jinwoo Choi , Siming Deng , Nathan Justus , Noah J. Cowan , Ross L. Hatton

We use the transport methods developped in [3] to obtain universality results for local statistics of eigenvalues in the bulk and at the edge for $\beta$-matrix models in the multi-cut regime. We construct an approximate transport map…

概率论 · 数学 2017-08-04 Florent Bekerman

We consider the problem of consistently matching multiple sets of elements to each other, which is a common task in fields such as computer vision. To solve the underlying NP-hard objective, existing methods often relax or approximate it,…

机器学习 · 统计学 2019-07-19 Da Tang , Tony Jebara

We present a novel, easy-to-use method based on the photon-mapping technique to simulate photometric images of moving targets. Realistic images can be created in two passes: photon tracing and image rendering. The nature of light sources,…

天体物理仪器与方法 · 物理学 2021-10-13 Junju Du , Shaoming Hu , Xu Chen , Hai Cao , Yuchen Jiang

Structured representations such as scene graphs serve as an efficient and compact representation that can be used for downstream rendering or retrieval tasks. However, existing efforts to generate realistic images from scene graphs perform…

计算机视觉与模式识别 · 计算机科学 2019-04-23 Subarna Tripathi , Sharath Nittur Sridhar , Sairam Sundaresan , Hanlin Tang

Nearest neighbour graphs are widely used to capture the geometry or topology of a dataset. One of the most common strategies to construct such a graph is based on selecting a fixed number k of nearest neighbours (kNN) for each point.…

机器学习 · 统计学 2022-08-02 Tetsuya Matsumoto , Stephen Zhang , Geoffrey Schiebinger

Mapping is an important part of many robotic applications. In order to measure the performance of the mapping process we have to measure the quality of its result: the map. The map is essential for robotic algorithms like localization and…

机器人学 · 计算机科学 2019-12-04 Sören Schwertfeger , Tianyan Yu

Train timetables can be represented as event graphs, where correspond to a train passing through a location at a certain point in time. A visual representation of an event graph is important for many applications such as dispatching and…

计算几何 · 计算机科学 2025-09-18 Johann Hartleb , Marie Schmidt , Samuel Wolf , Alexander Wolff

We present a novel method for visual mapping and localization for autonomous vehicles, by extracting, modeling, and optimizing semantic road elements. Specifically, our method integrates cascaded deep models to detect standardized road…

机器人学 · 计算机科学 2021-08-12 Wentao Cheng , Sheng Yang , Maomin Zhou , Ziyuan Liu , Yiming Chen , Mingyang Li

With the recent development of localization and tracking systems for both indoor and outdoor settings, we consider the problem of sensing, representing and analyzing human movement trajectories that we expect to gather in the near future.…

网络与互联网体系结构 · 计算机科学 2017-08-31 Xiaotian Yin , Yu-Yao Lin , Chien-Chun Ni , Jiaxin Ding , Wei Han , Dengpan Zhou , Jie Gao , Xianfeng Gu

Establishing bounds on the accuracy achievable by localization techniques represents a fundamental technical issue. Bounds on localization accuracy have been derived for cases in which the position of an agent is estimated on the basis of a…

信息论 · 计算机科学 2013-03-12 Francesco Montorsi , Santiago Mazuelas , Giorgio M. Vitetta , Moe Z. Win

This study presents a novel small-area estimation framework to enhance urban transportation planning through detailed characterization of travel behavior. Our approach improves on the four-step travel model by employing publicly available…

机器学习 · 计算机科学 2025-10-07 Yangyang Wang , Tayo Fabusuyi

The use of autonomous vehicles for target localization in modern applications has emphasized their superior efficiency, improved safety, and cost advantages over human-operated methods. For localization tasks, autonomous vehicles can be…

系统与控制 · 电气工程与系统科学 2024-04-15 Camilla Tabasso , Venanzio Cichella

This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of…

最优化与控制 · 数学 2026-02-04 Louis Callens , Bastiaan Vandewal , Ibrahim Ibrahim , Jan Swevers , Wilm Decré

The Dense Trajectories concept is one of the most successful approaches in action recognition, suitable for scenarios involving a significant amount of motion. However, due to noise and background motion, many generated trajectories are…

计算机视觉与模式识别 · 计算机科学 2019-04-11 Konstantinos Papadopoulos , Girum Demisse , Enjie Ghorbel , Michel Antunes , Djamila Aouada , Björn Ottersten

Indoor route graph learning is critically important for autonomous indoor navigation. A key problem for crowd-sourcing indoor route graph learning is featured trajectory generation. In this paper, a system is provided to generate featured…

人机交互 · 计算机科学 2022-03-09 Wanting Li , Yongcai Wang , Deying Li

Geometric optimisation algorithms are developed that efficiently find the nearest low-rank correlation matrix. We show, in numerical tests, that our methods compare favourably to the existing methods in the literature. The connection with…

其他凝聚态物理 · 物理学 2007-05-23 Igor Grubisic , Raoul Pietersz

In this paper, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way. The main use of the metric is to compare estimates of trajectories from different…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions…

度量几何 · 数学 2025-06-03 Nihal Yilmaz Özgür