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Laguerre-Gaussian (LG) beams are used in many research fields, such as microscopy, laser cavity modes and optical tweezing. We develop a holographic method of generating pure LG modes (amplitude and phase) with a binary amplitude-only…

Optics · Physics 2012-12-03 Vitaly Lerner , David Shwa , Yehonathan Drori , Nadav Katz

The complementary fusion of light detection and ranging (LiDAR) data and image data is a promising but challenging task for generating high-precision and high-density point clouds. This study proposes an innovative LiDAR-guided stereo…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Yongjun Zhang , Siyuan Zou , Xinyi Liu , Xu Huang , Yi Wan , Yongxiang Yao

We study the problem of learning multivariate log-concave densities with respect to a global loss function. We obtain the first upper bound on the sample complexity of the maximum likelihood estimator (MLE) for a log-concave density on…

Statistics Theory · Mathematics 2018-12-06 Timothy Carpenter , Ilias Diakonikolas , Anastasios Sidiropoulos , Alistair Stewart

We propose and demonstrate a simple and easy-to-implement projective-measurement protocol to determine the radial index 'p' of a Laguerre-Gaussian (LGlp) mode. Our method entails converting any specified high-order LG0p mode into a…

The unsupervised 3D object detection is to accurately detect objects in unstructured environments with no explicit supervisory signals. This task, given sparse LiDAR point clouds, often results in compromised performance for detecting…

Computer Vision and Pattern Recognition · Computer Science 2024-07-12 Ruiyang Zhang , Hu Zhang , Hang Yu , Zhedong Zheng

We present an asymptotic analysis of the minimum probability of error (MPE) in inferring the correct hypothesis in a Bayesian multi-hypothesis testing (MHT) formalism using many pixels of data that are corrupted by signal dependent shot…

Optics · Physics 2015-06-19 Sudhakar Prasad

Worldwide geolocalization aims to locate the precise location at the coordinate level of photos taken anywhere on the Earth. It is very challenging due to 1) the difficulty of capturing subtle location-aware visual semantics, and 2) the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Pengyue Jia , Yiding Liu , Xiaopeng Li , Yuhao Wang , Yantong Du , Xiao Han , Xuetao Wei , Shuaiqiang Wang , Dawei Yin , Xiangyu Zhao

Light's spatial properties represent an infinite state space, making it attractive for applications requiring high dimensionality, such as quantum mechanics and classical telecommunications, but also inherently spatial applications such as…

Angle of arrival (AOA) is widely used to locate a wireless signal emitter in unmanned aerial vehicle (UAV) localization. Compared with received signal strength (RSS) and time of arrival (TOA), it has higher accuracy and is not sensitive to…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Baihua Shi , Yifan Li , Guilu Wu , Shihao Yan , Feng Shu

An adaptive mesh refinement and error estimation method for numerically solving optimal control problems is developed using Legendre-Gauss-Radau direct collocation. In regions of the solution where the desired accuracy tolerance has not…

Optimization and Control · Mathematics 2024-10-11 George V. Haman , Anil V. Rao

In regression models for spatial data, it is often assumed that the marginal effects of covariates on the response are constant over space. In practice, this assumption might often be questionable. In this article, we show how a Gaussian…

Methodology · Statistics 2020-11-13 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

4D automotive radars have gained increasing attention for autonomous driving due to their low cost, robustness, and inherent velocity measurement capability. However, existing 4D radar-based 3D detectors rely heavily on pillar encoders for…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Weiyi Xiong , Bing Zhu , Zewei Zheng

We propose a novel high-efficiency no-moving-parts Laguerre-Gauss (LG) spectrometer using two variable focus lenses and a variable sized pinhole that overcomes the limitations of the classical, projective, phase flattening technique for…

Optics · Physics 2016-12-13 Mumtaz Sheikh , Haad Yaqub Rathore , Sohaib Abdul Rehman

Localization, or position fixing, is an important problem in robotics research. In this paper, we propose a novel approach for long-term localization in a changing environment using 3D LiDAR. We first create the map of a real environment…

Robotics · Computer Science 2019-10-29 Yilong Zhu , Bohuan Xue , Linwei Zheng , Huaiyang Huang , Ming Liu , Rui Fan

We introduce a new perspective on spectral dimensionality reduction which views these methods as Gaussian Markov random fields (GRFs). Our unifying perspective is based on the maximum entropy principle which is in turn inspired by maximum…

Artificial Intelligence · Computer Science 2012-01-05 Neil D. Lawrence

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed in…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Augusto Aubry , Paolo Braca , Antonio De Maio , Angela Marino

We propose a quantum-assisted solution for the maximum likelihood detection (MLD) of generalized spatial modulation (GSM) signals. Specifically, the MLD of GSM is first formulated as a novel polynomial optimization problem, followed by the…

Signal Processing · Electrical Eng. & Systems 2024-08-27 Kein Yukiyoshi , Taku Mikuriya , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu , Naoki Ishikawa

Linear birth-and-death processes (LBDPs) are foundational stochastic models in population dynamics, evolutionary biology, and hematopoiesis. Estimating parameters from discretely observed data is computationally demanding due to irregular…

Computation · Statistics 2025-08-26 Xiaochen Long , Marek Kimmel

Accurate detection of the centerline of a thick linear structure and good estimation of its thickness are challenging topics in many real-world applications such X-ray imaging, remote sensing and lane marking detection in road traffic.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Nafaa Nacereddine , Aicha Baya Goumeidane , Djemel Ziou

Determining the position and orientation of a calibrated camera from a single image with respect to a 3D model is an essential task for many applications. When 2D-3D correspondences can be obtained reliably, perspective-n-point solvers can…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Dylan Campbell , Lars Petersson , Laurent Kneip , Hongdong Li , Stephen Gould