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The analysis of complex nonlinear systems is often carried out using simpler piecewise linear representations of them. A principled and practical technique is proposed to linearize and evaluate arbitrary continuous nonlinear functions using…

Optimization and Control · Mathematics 2017-11-10 Guillermo Gallego , Daniel Berjón , Narciso García

This paper deals with the accomplishment of total area coverage of an arbitrary region using sensors with a finite sensing radius of rs. For a given region, we aim to obtain a deterministic placement of sensors which, apart from ensuring…

Networking and Internet Architecture · Computer Science 2010-01-27 Shyam M , Anurag Kumar

Imaging in low-light environments is challenging due to reduced scene radiance, which leads to elevated sensor noise and reduced color saturation. Most learning-based low-light enhancement methods rely on paired training data captured under…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Maria Pilligua , David Serrano-Lozano , Pai Peng , Ramon Baldrich , Michael S. Brown , Javier Vazquez-Corral

We present a method to estimate lighting from a single image of an indoor scene. Previous work has used an environment map representation that does not account for the localized nature of indoor lighting. Instead, we represent lighting as a…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Marc-André Gardner , Yannick Hold-Geoffroy , Kalyan Sunkavalli , Christian Gagné , Jean-François Lalonde

Subterranean environments such as culverts present significant challenges to robot vision due to dim lighting and lack of distinctive features. Although onboard illumination can help, it introduces issues such as specular reflections,…

Robotics · Computer Science 2025-06-10 Yash Turkar , Youngjin Kim , Karthik Dantu

In this paper, we study the problem of reproducing the world lighting from a single image of an object covered with random specular microfacets on the surface. We show that such reflectors can be interpreted as a randomized mapping from the…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Zhengdong Zhang , Phillip Isola , Edward H. Adelson

One-dimensional light harvesting structures with a realistic geometry nano-patterned on an opaque metallic film are optimized to render high transmission efficiencies at optical and infrared frequencies. Simple design rules are developed…

Low-light image enhancement (LLIE) is an ill-posed inverse problem due to the lack of knowledge of the desired image which is obtained under ideal illumination conditions. Low-light conditions give rise to two main issues: a suppressed…

Computer Vision and Pattern Recognition · Computer Science 2023-05-19 Mustafa Ozcan , Hamza Ergezer , Mustafa Ayazaoglu

In this paper, we propose new techniques for solving geometric optimization problems involving interpoint distances of a point set in the plane. Given a set $P$ of $n$ points in the plane and an integer $1 \leq k \leq \binom{n}{2}$, the…

Computational Geometry · Computer Science 2024-03-08 Haitao Wang , Yiming Zhao

Certain problems in quadratic minimization can be reduced to finding the point $x$ of a polyhedron ${ P}$ that minimizes the distance $\|x-p\|$ for some $p\notin { P}$. This amounts to a search for the appropriate face $F$ of ${ P}$ for…

Numerical Analysis · Mathematics 2023-02-21 Marc Stromberg

In this paper, we investigate optimization problems with nonnegative and orthogonal constraints, where any feasible matrix of size $n \times p$ exhibits a sparsity pattern such that each row accommodates at most one nonzero entry. Our…

Optimization and Control · Mathematics 2025-11-06 Lei Wang , Xin Liu , Xiaojun Chen

Given a set of $n$ points $P$ in the plane, the first layer $L_1$ of $P$ is formed by the points that appear on $P$'s convex hull. In general, a point belongs to layer $L_i$, if it lies on the convex hull of the set $P \setminus…

Computational Geometry · Computer Science 2017-03-17 Raimi A. Rufai , Dana S. Richards

Triangulation refers to the problem of finding a 3D point from its 2D projections on multiple camera images. For solving this problem, it is the common practice to use so-called optimal triangulation method, which we call the L2 method in…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Seyed-Mahdi Nasiri , Reshad Hosseini , Hadi Moradi

Low-light image enhancement is a crucial preprocessing task for some complex vision tasks. Target detection, image segmentation, and image recognition outcomes are all directly impacted by the impact of image enhancement. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Mengfei Wu , Xucheng Xue , Taiji Lan , Xinwei Xu

We suggest a new optical solution for solving the YES/NO version of the Exact Cover problem by using the massive parallelism of light. The idea is to build an optical device which can generate all possible solutions of the problem and then…

Hardware Architecture · Computer Science 2009-02-07 Mihai Oltean , Oana Muntean

Occlusion is one of the most challenging problems in depth estimation. Previous work has modeled the single-occluder occlusion in light field and get good results, however it is still difficult to obtain accurate depth for multi-occluder…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Hao Zhu , Qing Wang , Jingyi Yu

Motivated by the importance of optical microscopes to science and engineering, scientists have pondered for centuries how to improve their resolution and the existence of fundamental resolution limits. In recent years, a new class of…

Quantum Physics · Physics 2015-07-28 Mankei Tsang

We devise a polynomial-time approximation scheme for the classical geometric problem of finding an approximate short path amid weighted regions. In this problem, a triangulated region P comprising of n vertices, a positive weight associated…

Computational Geometry · Computer Science 2016-12-08 R Inkulu , Sanjiv Kapoor

The goal of this paper is to design compact support basis spline functions that best approximate a given filter (e.g., an ideal Lowpass filter). The optimum function is found by minimizing the least square problem ($\ell$2 norm of the…

Multimedia · Computer Science 2015-03-17 Ramtin Madani , Ali Ayremlou , Arash Amini , Farrokh Marvasti

It was conjectured by Levi, Hadwiger, Gohberg and Markus that the boundary of any convex body in ${\mathbb R}^n$ can be illuminated by at most $2^n$ light sources, and, moreover, $2^n-1$ light sources suffice unless the body is a…

Metric Geometry · Mathematics 2017-10-17 Galyna Livshyts , Konstantin Tikhomirov