Search results for "computational geometry"

showing 10 items of 139 documents

Optimal Guard Placement Problem Under L-Visibility

2006

Two points a and b in the presence of polygonal obstacles are L-visible if the length of the shortest path avoiding obstacles is no more than L. For a given convex polygon Q, Gewali et al [4]. addressed the guard placement problem on the exterior boundary that will cover the maximum area exterior to the polygon under L-visibility. They proposed a linear time algorithm for some given value of L. When the length L is greater than half of the perimeter, they declared that problem as open. Here we address that open problem and present an algorithm whose time complexity is linear in number of vertices of the polygon.

Art gallery problemPolygon coveringComputer Science::Computational GeometryConvex polygonCombinatoricsMonotone polygonBiggest little polygonTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYStar-shaped polygonVisibility polygonSimple polygonComputingMethodologies_COMPUTERGRAPHICSMathematicsofComputing_DISCRETEMATHEMATICSMathematics
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"Table 23" of "Energy dependence of event shapes and of alpha(s) at LEP-2."

1999

Distributions of Planarity at cm energies 133, 161 and 172 GeV.

Astrophysics::High Energy Astrophysical PhenomenaE+ E- --> HADRONSE+ E- --> JETSE+ E- ScatteringExclusiveHigh Energy Physics::ExperimentSingle Differential DistributionJet ProductionComputer Science::Computational GeometryNuclear ExperimentDN/DPLANARITY133.0-172.0
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"Table 24" of "Energy dependence of event shapes and of alpha(s) at LEP-2."

1999

Distribution of Planarity at cm energy 183 GeV.

Astrophysics::High Energy Astrophysical PhenomenaE+ E- --> HADRONSE+ E- --> JETSE+ E- ScatteringExclusiveHigh Energy Physics::ExperimentSingle Differential DistributionJet ProductionComputer Science::Computational GeometryNuclear ExperimentDN/DPLANARITY183.0
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"README and Table of Contents" of "Search for trilepton resonances from chargino and neutralino pair production in $\sqrt{s}$ = 13 TeV $pp$ collision…

2021

This is the HEPData space for the trilepton resonance wino search, the full resolution figures can be found here https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PAPERS/SUSY-2018-36/. The full statistical likelihoods have been provided for this analysis. They can be downloaded by clicking on the purple 'Resources' buttun above where they can then be found in the 'Common Resources' area. A detailed README for how to use the likelihoods is also included in this download. Exclusion contours: Obs. data vs SM bkg. exp. in CRs and VRs $\ell=(e, \mu, \tau)$, Obs_0 $\ell=(e, \mu, \tau)$, Obs_0_Up $\ell=(e, \mu, \tau)$, Obs_0_Down $\ell=(e, \mu, \tau)$, Exp_0 $\ell=(e, \mu, \tau)$, Exp_0_Up $\ell=(e, …

Astrophysics::High Energy Astrophysical PhenomenaHigh Energy Physics::ExperimentComputer Science::Computational GeometryNuclear Experiment
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Fuzzy Fusion in Multimodal Biometric Systems

2007

Multimodal authentication systems represent an emerging trend for information security. These systems could replace conventional mono-modal biometric methods using two or more features for robust biometric authentication tasks. They employ unique combinations of measurable physical characteristics: fingerprint, facial features, iris of the eye, voice print, hand geometry, vein patterns, and so on. Since these traits are hardly imitable by other persons, the aim of these multibiometric systems is to achieve a high reliability to determine or verify person's identity. In this paper a multimodal biometric system using two different fingerprints is proposed. The matching module integrates fuzzy…

AuthenticationBiometricsComputational geometryData fusionFeature extractionSecurity of dataSettore ING-INF/05 - Sistemi Di Elaborazione Delle Informazioni
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Counter-complementarity control of the weak exchange interaction in a bent {Ni(ii)3 complex with a μ-phenoxide-μ-carboxylate double bridge

2019

We have prepared and structurally characterized a novel {Ni3} bent complex bearing a double μ-phenoxide-μ-carboxylate bridge. Both terminal Ni(ii) sites are symmetry related, offering a simplified exchange interaction scheme. DC magnetic data is consistent with a weak antiferromagnetic interaction between the central and terminal Ni(ii) ions. As expected for a Ni(ii) system, local zero-field splitting is observed, which can be experimentally established. Broken symmetry quantum chemical calculations, as well as ab initio CASSCF-SA-SOC computations that support the magnetic experimental data, were also performed. From the analysis of other reported closely related Ni(ii) systems, a counter-c…

Bent molecular geometryExchange interactionAb initioCiencias Químicas02 engineering and technologyGeneral ChemistryComputer Science::Computational Geometry010402 general chemistry021001 nanoscience & nanotechnologyQuímica Inorgánica y Nuclear01 natural sciencesCatalysisSymmetry (physics)0104 chemical sciencesIonCrystallographychemistry.chemical_compoundchemistryMaterials ChemistryAntiferromagnetismCarboxylateSymmetry breaking0210 nano-technologyno correspondeCIENCIAS NATURALES Y EXACTAS
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An efficient upper bound of the rotation distance of binary trees

2000

A polynomial time algorithm is developed for computing an upper bound for the rotation distance of binary trees and equivalently for the diagonal-flip distance of convex polygons triangulations. Ordinal tools are used.

Binary treeRegular polygonComputer Science::Computational GeometryUpper and lower boundsComputer Science ApplicationsTheoretical Computer ScienceCombinatoricsTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYLattice (order)Signal ProcessingTime complexityComputingMethodologies_COMPUTERGRAPHICSInformation SystemsMathematicsInformation Processing Letters
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Bézier surfaces of minimal area: The Dirichlet approach

2004

The Plateau-Bezier problem consists in finding the Bezier surface with minimal area from among all Bezier surfaces with prescribed border. An approximation to the solution of the Plateau-Bezier problem is obtained by replacing the area functional with the Dirichlet functional. Some comparisons between Dirichlet extremals and Bezier surfaces obtained by the use of masks related with minimal surfaces are studied.

Bézier surfacePure mathematicsMinimal surfaceAerospace EngineeringBézier curveComputer Science::Computational GeometryTopologyComputer Graphics and Computer-Aided DesignDirichlet distributionsymbols.namesakeComputer Science::GraphicsModeling and SimulationComputer Science::MultimediaAutomotive EngineeringsymbolsMathematicsComputer Aided Geometric Design
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Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups

2020

We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in which the De Giorgi's rectifiability Theorem holds, we provide a lower bound for the $\Gamma$-liminf of the rescaled energy in terms of the horizontal perimeter.

Class (set theory)Pure mathematicsControl and OptimizationCarnot groups calibrations nonlocal perimeters/ Γ-convergence sets of finite perimeter rectifiabilityMathematics::Analysis of PDEssets of finite perimetervariaatiolaskentaComputer Science::Computational Geometry01 natural sciencesUpper and lower boundsdifferentiaaligeometriasymbols.namesakeMathematics - Analysis of PDEs510 MathematicsMathematics - Metric GeometryComputer Science::Logic in Computer ScienceConvergence (routing)FOS: MathematicsMathematics::Metric Geometry0101 mathematicscalibrationsMathematicsnonlocal perimeters010102 general mathematicsrectifiabilityryhmäteoriaMetric Geometry (math.MG)matemaattinen optimointi010101 applied mathematicsComputational MathematicsΓ-convergenceΓ-convergenceCarnot groupsControl and Systems EngineeringsymbolsCarnot cycleAnalysis of PDEs (math.AP)ESAIM: Control, Optimisation and Calculus of Variations
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Almost Tight Bound for the Union of Fat Tetrahedra in Three Dimensions

2007

For any AND-OR formula of size N, there exists a bounded-error N1/2+o(1)-time quantum algorithm, based on a discrete-time quantum walk, that evaluates this formula on a black-box input. Balanced, or "approximately balanced," formulas can be evaluated in O(radicN) queries, which is optimal. It follows that the (2-o(1))th power of the quantum query complexity is a lower bound on the formula size, almost solving in the positive an open problem posed by Laplante, Lee and Szegedy.

CombinatoricsDiscrete mathematicsComputational complexity theoryOpen problemExistential quantificationQuantum algorithmQuantum walkComputational geometryUpper and lower boundsQuantum computerMathematics48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07)
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