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Millimeter wave communications rely on narrow-beam transmissions to cope with the strong signal attenuation at these frequencies, thus demanding precise beam alignment between transmitter and receiver. The communication overhead incurred to…

Information Theory · Computer Science 2017-02-22 Muddassar Hussain , Nicolo Michelusi

Optical interferometers provide multiple wavelength measurements. In order to fully exploit the spectral and spatial resolution of these instruments, new algorithms for image reconstruction have to be developed. Early attempts to deal with…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Éric Thiébaut , Ferréol Soulez , Loïc Denis

Localizing objects and estimating their extent in 3D is an important step towards high-level 3D scene understanding, which has many applications in Augmented Reality and Robotics. We present ODAM, a system for 3D Object Detection,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Kejie Li , Daniel DeTone , Steven Chen , Minh Vo , Ian Reid , Hamid Rezatofighi , Chris Sweeney , Julian Straub , Richard Newcombe

We present approximation algorithms with O(n^3) processing time for the minimum vertex and edge guard problems in simple polygons. It is improved from previous O(n^4) time algorithms of Ghosh. For simple polygon, there are O(n^3) visibility…

Computational Geometry · Computer Science 2015-03-17 Dae-Sung Jang , Sun-Il Kwon

We study a general family of facility location problems defined on planar graphs and on the 2-dimensional plane. In these problems, a subset of $k$ objects has to be selected, satisfying certain packing (disjointness) and covering…

Data Structures and Algorithms · Computer Science 2015-04-22 Dániel Marx , Michał Pilipczuk

A planar orthogonal drawing {\Gamma} of a connected planar graph G is a geometric representation of G such that the vertices are drawn as distinct points of the plane, the edges are drawn as chains of horizontal and vertical segments, and…

Computational Geometry · Computer Science 2025-02-06 Walter Didimo , Giuseppe Liotta , Giacomo Ortali , Maurizio Patrignani

We present linear time {\it in-place} algorithms for several basic and fundamental graph problems including the well-known graph search methods (like depth-first search, breadth-first search, maximum cardinality search), connectivity…

Data Structures and Algorithms · Computer Science 2019-07-24 Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

For the \textsc{Minkowski Sum Selection} problem with linear objective functions, we obtain the following results: (1) optimal $O(n\log n)$ time algorithms for $\lambda=1$; (2) $O(n\log^2 n)$ time deterministic algorithms and expected…

Data Structures and Algorithms · Computer Science 2008-09-09 Cheng-Wei Luo , Hsiao-Fei Liu , Peng-An Chen , Kun-Mao Chao

An algorithm is discussed for converting a class of recursive processes to a parallel system. It is argued that this algorithm can be superior to certain methods currently found in the literature for an important subset of problems. The…

Computational Physics · Physics 2009-11-10 W. R. Gibbs

We study approximation algorithms for the following geometric version of the maximum coverage problem: Let $\mathcal{P}$ be a set of $n$ weighted points in the plane. Let $D$ represent a planar object, such as a rectangle, or a disk. We…

Computational Geometry · Computer Science 2017-12-08 Kai Jin , Jian Li , Haitao Wang , Bowei Zhang , Ningye Zhang

In this paper, we discuss the algorithm engineering aspects of an O(n^2)-time algorithm [6] for computing a minimum-area convex polygon that intersects a set of n isothetic line segments.

Computational Geometry · Computer Science 2016-09-07 Xin Wu , Xijie Zeng , Bryan St. Amour , Asish Mukhopadhyay

The task of 3D ICs layout design involves the assembly of millions of components taking into account many different requirements and constraints such as topological, wiring or manufacturability ones. It is a NP-hard problem that requires…

Hardware Architecture · Computer Science 2019-11-28 Katarzyna Grzesiak-Kopeć , Maciej Ogorzałek

In the Coloured Clustering problem, we wish to colour vertices of an edge coloured graph to produce as many stable edges as possible, i.e., edges with the same colour as their ends. In this paper, we reveal that the problem is in fact a…

Data Structures and Algorithms · Computer Science 2018-07-30 Leizhen CAI , On Yin LEUNG

Suppose that there is a ground set which consists of a large number of vectors in a Hilbert space. Consider the problem of selecting a subset of the ground set such that the projection of a vector of interest onto the subspace spanned by…

Information Theory · Computer Science 2015-07-20 Zhenliang Zhang , Yuan Wang , Edwin K. P. Chong , Ali Pezeshki , Louis Scharf

Given a multiset $S$ of $n$ positive integers and a target integer $t$, the Subset Sum problem asks to determine whether there exists a subset of $S$ that sums up to $t$. The current best deterministic algorithm, by Koiliaris and Xu…

Data Structures and Algorithms · Computer Science 2020-01-03 Ce Jin , Hongxun Wu

We address the problem of finding harmonic colors, this problem has many applications, from fashion to industrial design. In order to solve this problem we consider that colors follow normal distributions in tone (chroma and lightness) and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Carlos Lara-Alvarez , Tania Reyes

We study the problem of minimum enclosing rectangle with outliers, which asks to find, for a given set of $n$ planar points, a rectangle with minimum area that encloses at least $(n-t)$ points. The uncovered points are regarded as outliers.…

Computational Geometry · Computer Science 2021-09-16 Zhengyang Guo , Yi Li

We study the two-dimensional geometric knapsack problem for convex polygons. Given a set of weighted convex polygons and a square knapsack, the goal is to select the most profitable subset of the given polygons that fits non-overlappingly…

Data Structures and Algorithms · Computer Science 2020-08-03 Arturo Merino , Andreas Wiese

We develop an algorithmic framework for graph colouring that reduces the problem to verifying a local probabilistic property of the independent sets. With this we give, for any fixed $k\ge 3$ and $\varepsilon>0$, a randomised…

Data Structures and Algorithms · Computer Science 2020-04-16 Ewan Davies , Ross J. Kang , François Pirot , Jean-Sébastien Sereni

Rapid development of evolutionary algorithms in handling many-objective optimization problems requires viable methods of visualizing a high-dimensional solution set. Parallel coordinates which scale well to high-dimensional data are such a…

Neural and Evolutionary Computing · Computer Science 2017-05-02 Miqing Li , Liangli Zhen , Xin Yao
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