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This paper present the mathematical fundaments and experimental study of an algorithm used to find the optimal position for the camera lens to obtain a maximum of details. This information can be further applied to a appropriate system to…

Computer Vision and Pattern Recognition · Computer Science 2015-02-24 Radu Arsinte

We present an efficient algorithm to compute tight upper bounds of collision probability between two objects with positional uncertainties, whose error distributions are represented with non-Gaussian forms. Our approach can handle noisy…

Robotics · Computer Science 2019-12-17 Jae Sung Park , Dinesh Manocha

Spatial intensity moments computed on images can be used as a probe of the centroid, size, and orientation of pixelized sources such as stars and galaxies. However, all measurements made on images suffer from errors due to undersampling and…

Instrumentation and Methods for Astrophysics · Physics 2020-12-11 Andrew K. Bradshaw

In this paper, we consider a novel and robust maximum likelihood approach to localizing radiation sources with unknown statistics of the source signal strength. The result utilizes the smallest number of sensors required theoretically to…

Optimization and Control · Mathematics 2016-10-11 Henry E. Baidoo-Williams

Bessel beams (BBs) appear immune to diffraction over finite propagation distances due to the conical nature of light propagation along the optical axis. This offers promising advantages in laser fabrication. However, BBs exhibit a…

Optics · Physics 2017-11-03 Raghu Dharmavarapu , Saulius Juodkazis , Shanti Bhattacharya

Video analytics requires operating with large amounts of data. Compressive sensing allows to reduce the number of measurements required to represent the video using the prior knowledge of sparsity of the original signal, but it imposes…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Danil Kuzin , Olga Isupova , Lyudmila Mihaylova

The set of all channels with fixed input and output is convex. We first give a convenient formulation of necessary and sufficient condition for a channel to be extreme point of this set in terms of complementary channel, a notion of big…

Mathematical Physics · Physics 2013-10-29 A. S. Holevo

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

This paper demonstrates a system comprised of infrared beacons and a camera equipped with an optical band-pass filter. Our system can reliably detect and identify individual beacons at 100m distance regardless of lighting conditions. We…

Computer Vision and Pattern Recognition · Computer Science 2022-06-01 Alexandru Kampmann , Michael Lamberti , Nikola Petrovic , Stefan Kowalewski , Bassam Alrifaee

In target tracking and sensor fusion contexts it is not unusual to deal with a large number of Gaussian densities that encode the available information (multiple hypotheses), as in applications where many sensors, affected by clutter or…

Computation · Statistics 2022-10-04 Alessandro D'Ortenzio , Costanzo Manes , Umut Orguner

We construct optimal measurements, achieving the ultimate precision predicted by quantum theory, for the simultaneous estimation of centroid, separation, and relative intensities of two incoherent point sources using a linear optical…

Quantum Physics · Physics 2018-07-04 J. Rehacek , Z. Hradil , D. Koutny , J. Grover , A. Krzic , L. L. Sanchez-Soto

We present a new smooth, Gaussian-like kernel that allows the kernel density estimate for an angular distribution to be exactly represented by a finite number of its Fourier series coefficients. Distributions of angular quantities, such as…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Michael T. McCann , Matthew Fickus , Jelena Kovacevic

The full solution of the optimization problem giving the Gaussian capacity of the single-mode fiducial Gaussian quantum channel is provided. Since it was shown that the Gaussian capacity of an arbitrary (phase-sensitive or insensitive)…

Quantum Physics · Physics 2016-09-19 Joachim Schäfer , Evgueni Karpov , Oleg V. Pilyavets , Nicolas J. Cerf

We show that the parameter space of axion-like particles can be severly constrained using high-precision measurements of quasar polarisations. Robust limits are derived from the measured bounds on optical circular polarisation and from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-09 A. Payez , J. R. Cudell , D. Hutsemékers

Gaze detection and head orientation are an important part of many advanced human-machine interaction applications. Many systems have been proposed for gaze detection. Typically, they require some form of user cooperation and calibration.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-31 J. Y. Kaminski , M. Teicher , D. Knaan , A. Shavit

The ability to precisely focus optical beams is crucial for numerous applications, yet conventional Gaussian beams exhibit slow intensity transitions near the focal point, limiting their effectiveness in scenarios requiring sharp focusing.…

Optics · Physics 2025-05-07 Qian Cao , Nianjia Zhang , Chenghao Li , Andy Chong , Qiwen Zhan

This paper addresses the deployment of sensors for a 2-D barrier coverage system. The challenge is to compute near-optimal sensor placements for detecting targets whose trajectories follow a log-Gaussian Cox line process. We explore sensor…

Robotics · Computer Science 2025-05-13 Mingyu Kim , Daniel J. Stilwell , Harun Yetkin , Jorge Jimenez

An approximation is elaborated for the paraxial propagation of diffracted beams, with both one- and two-dimensional cross sections, which are released from apertures with sharp boundaries. The approximation applies to any beam under the…

Optics · Physics 2016-06-29 Eitam Luz , Er'el Granot , Boris A. Malomed

This paper considers a special case of the problem of identifying a static scalar signal, depending on the location, using a planar network of sensors in a distributed fashion. Motivated by the application to monitoring wild-fires spreading…

Optimization and Control · Mathematics 2011-07-25 Paolo Frasca , Paolo Mason , Benedetto Piccoli

Detection thresholds in polarized intensity and polarization bias correction are investigated for surveys where the polarization information is obtained from RM synthesis. Considering unresolved sources with a single rotation measure, a…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Samuel J. George , Jeroen M. Stil , Ben W. Keller
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