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Conventional LIDAR systems require hundreds or thousands of photon detections to form accurate depth and reflectivity images. Recent photon-efficient computational imaging methods are remarkably effective with only 1.0 to 3.0 detected…

Applications · Statistics 2019-11-13 Joshua Rapp , Vivek K Goyal

This paper proposes a novel method to filter out the false alarm of LiDAR system by using the temporal correlation of target reflected photons. Because of the inevitable noise, which is due to background light and dark counts of the…

Instrumentation and Detectors · Physics 2017-08-22 Zhenchao Feng , Weiji He , Jian Fang , Guohua Gu , Qian Chen , Ping Zhang , Yuanjin Chen , Beibei Zhou , Minhua Zhou

We develop a Reduced Order Model (ROM) for a Large Eddy Simulation (LES) approach that combines a three-step algorithm called Evolve-Filter-Relax (EFR) with a computationally efficient finite volume method. The main novelty of our ROM lies…

Numerical Analysis · Mathematics 2021-07-28 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

In this letter, we propose a color-assisted robust framework for accurate LiDAR odometry and mapping (LOAM). Simultaneously receiving data from both the LiDAR and the camera, the framework utilizes the color information from the camera…

Robotics · Computer Science 2025-02-25 Yufei Lu , Yuetao Li , Zhizhou Jia , Qun Hao , Shaohui Zhang

The data-driven reduced order models (ROMs) have recently emerged as an efficient tool for the solution of the inverse scattering problems with applications to seismic and sonar imaging. One specification of this approach is that it…

Numerical Analysis · Mathematics 2022-11-16 V. Druskin , S. Moskow , M. Zaslavsky

Spatial filtering has been central in the development of large eddy simulation reduced order models (LES-ROMs) and regularized reduced order models (Reg-ROMs), In this paper, we perform a numerical investigation of spatial filtering. To…

Numerical Analysis · Mathematics 2017-07-14 L. C. Berselli , D. Wells , X. Xie , T. Iliescu

Depth estimation is one of the key technologies in some fields such as autonomous driving and robot navigation. However, the traditional method of using a single sensor is inevitably limited by the performance of the sensor. Therefore, a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Guangyao Xu , Junfeng Fan , En Li , Xiaoyu Long , Rui Guo

We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave scattering in layered lossy media, using data gathered by an antenna which generates a probing wave and measures the time resolved reflected wave. We…

Dynamical Systems · Mathematics 2021-08-04 Liliana Borcea , Vladimir Druskin , Jörn Zimmerling

Single-photon light detection and ranging (LiDAR) has been widely applied to 3D imaging in challenging scenarios. However, limited signal photon counts and high noises in the collected data have posed great challenges for predicting the…

Image and Video Processing · Electrical Eng. & Systems 2022-06-30 Gongxin Yao , Yiwei Chen , Yong Liu , Xiaomin Hu , Yu Pan

We apply reduced-order modeling (ROM) techniques to single-phase flow in faulted porous media, accounting for changing rock properties and fault geometry variations using a radial basis function mesh deformation method. This approach…

Numerical Analysis · Mathematics 2024-03-07 Enrico Ballini , Luca Formaggia , Alessio Fumagalli , Anna Scotti , Paolo Zunino

Single-photon light detection and ranging (LiDAR) is a key technology for depth imaging through complex environments. Despite recent advances, an open challenge is the ability to isolate the LiDAR signal from other spurious sources…

Quantum Physics · Physics 2021-05-18 Jiuxuan Zhao , Ashley Lyons , Arin Can Ulku , Hugo Defienne , Daniele Faccio , Edoardo Charbon

Standard ROMs generally yield spurious numerical oscillations in the simulation of convection-dominated flows. Regularized ROMs use explicit ROM spatial filtering to decrease these spurious numerical oscillations. The Leray ROM is a…

Numerical Analysis · Mathematics 2017-02-20 Xuping Xie , David Wells , Zhu Wang , Traian Iliescu

A nonintrusive model order reduction method for bilinear stochastic differential equations with additive noise is proposed. A reduced order model (ROM) is designed in order to approximate the statistical properties of high-dimensional…

Numerical Analysis · Mathematics 2025-06-11 M. A. Freitag , J. M. Nicolaus , M. Redmann

Simultaneous localization and mapping (SLAM) based on laser sensors has been widely adopted by mobile robots and autonomous vehicles. These SLAM systems are required to support accurate localization with limited computational resources. In…

Robotics · Computer Science 2022-09-01 Yifan Duan , Jie Peng , Yu Zhang , Jianmin Ji , Yanyong Zhang

We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves. The imaging function uses a data driven estimate of the…

Numerical Analysis · Mathematics 2022-01-19 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

Single-photon Light Detection and Ranging (LiDAR) systems are often equipped with an array of detectors for improved spatial resolution and sensing speed. However, given a fixed amount of flux produced by the laser transmitter across the…

Signal Processing · Electrical Eng. & Systems 2024-04-03 Stanley H. Chan , Hashan K. Weerasooriya , Weijian Zhang , Pamela Abshire , Istvan Gyongy , Robert K. Henderson

Median filtering is a non-linear smoothing technique widely used in digital image processing to remove noise while retaining sharp edges. It is particularly well suited to removing outliers (impulse noise) or granular artifacts (speckle…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Louis Sugy

The a priori error analysis of reduced order models (ROMs) for fluids is relatively scarce. In this paper, we take a step in this direction and conduct numerical analysis of the recently introduced time relaxation ROM (TR-ROM), which uses…

Numerical Analysis · Mathematics 2025-10-20 Jorge Reyes , Ping-Hsuan Tsai , Julia Novo , Traian Iliescu

We present a real-time, non-learning depth estimation method that fuses Light Detection and Ranging (LiDAR) data with stereo camera input. Our approach comprises three key techniques: Semi-Global Matching (SGM) stereo with Discrete…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Yasuhiro Yao , Ryoichi Ishikawa , Takeshi Oishi

An accurate depth map of the environment is critical to the safe operation of autonomous robots and vehicles. Currently, either light detection and ranging (LIDAR) or stereo matching algorithms are used to acquire such depth information.…

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