Search results for "triangle"

showing 10 items of 89 documents

Texture advection on discontinuous flows

2015

Texture advection techniques, which transport textures using a velocity field, are used to visualize the dynamics of a flow on a triangle mesh. Some flow phenomena lead to velocity fields with discontinuities that cause the deformation of the texture which is not properly controlled by these techniques. We propose a method to detect and visualize discontinuities on a flow, keeping consistent texture advection at both sides of the discontinuity. The method handles the possibility that the discontinuity travels across the domain of the flow with arbitrary velocity, estimating its speed with least-squares approximation. The technique is tested with different sample scenarios and with two avala…

Flow visualizationbusiness.industryTexture (cosmology)ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONInfografiaGeometryClassification of discontinuitiesComputer Graphics and Computer-Aided DesignDiscontinuity (linguistics)Computer Science::GraphicsFlow (mathematics)Computer Science::Computer Vision and Pattern RecognitionTriangle meshComputer visionVector fieldTexture advectionVisualització (Informàtica)Computer Vision and Pattern RecognitionArtificial intelligencebusinessSoftwareGeologyComputingMethodologies_COMPUTERGRAPHICS
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Reduced reference 3D mesh quality assessment based on statistical models

2015

International audience; During their geometry processing and transmission 3D meshes are subject to various visual processing operations like compression, watermarking, remeshing, noise addition and so forth. In this context it is indispensable to evaluate the quality of the distorted mesh, we talk here about the mesh visual quality (MVQ) assessment. Several works have tried to evaluate the MVQ using simple geometric measures, However this metrics do not correlate well with the subjective score since they fail to reflect the perceived quality. In this paper we propose a new objective metric to evaluate the visual quality between a mesh with a perfect quality called reference mesh and its dis…

Gamma distribution[ INFO ] Computer Science [cs]Kullback–Leibler divergenceKullback-Leibler divergencestatistical modelingContext (language use)02 engineering and technologyhuman visual systemDatabases[SPI]Engineering Sciences [physics][ SPI ] Engineering Sciences [physics]0202 electrical engineering electronic engineering information engineeringcomputational geometryPolygon mesh[INFO]Computer Science [cs]Divergence (statistics)MathematicsComputingMethodologies_COMPUTERGRAPHICSVisualizationbusiness.industry020207 software engineeringStatistical modelPattern recognitionstatistical distributionsDistortionGeometry processing3D triangle mesh[ SPI.TRON ] Engineering Sciences [physics]/Electronicsimage processing[SPI.TRON]Engineering Sciences [physics]/ElectronicsHuman visual system modelMetric (mathematics)Solid modelingThree-dimensional displays020201 artificial intelligence & image processingDistortion measurementWeibull distributionArtificial intelligencebusinessobjective metricQuality assessment
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Approximation Algorithms for Multicoloring Planar Graphs and Powers of Square and Triangular Meshes

2006

A multicoloring of a weighted graph G is an assignment of sets of colors to the vertices of G so that two adjacent vertices receive two disjoint sets of colors. A multicoloring problem on G is to find a multicoloring of G. In particular, we are interested in a minimum multicoloring that uses the least total number of colors. The main focus of this work is to obtain upper bounds on the weighted chromatic number of some classes of graphs in terms of the weighted clique number. We first propose an 11/6-approximation algorithm for multicoloring any weighted planar graph. We then study the multicoloring problem on powers of square and triangular meshes. Among other results, we show that the infi…

General Computer SciencePower graphAstrophysics::High Energy Astrophysical PhenomenaInduced subgraphDisjoint setsAstrophysics::Cosmology and Extragalactic Astrophysics[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]Theoretical Computer ScienceCombinatoricssymbols.namesakeTriangle meshGreedy algorithmDiscrete Mathematics and CombinatoricsAstrophysics::Solar and Stellar AstrophysicsColoringPolygon meshProduct graphMathematicsComputingMethodologies_COMPUTERGRAPHICSDiscrete mathematicsGreedy algorithm.lcsh:MathematicsApproximation algorithmGraph theory[ INFO.INFO-DM ] Computer Science [cs]/Discrete Mathematics [cs.DM]Cartesian productlcsh:QA1-939Approximation algorithmPlanar graphGraph theory[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]symbolsMulticoloring
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An Integral on a Complete Metric Measure Space

2015

We study a Henstock-Kurzweil type integral defined on a complete metric measure space \(X\) endowed with a Radon measure \(\mu\) and with a family of “cells” \(\mathcal{F}\) that satisfies the Vitali covering theorem with respect to \(\mu\). This integral encloses, in particular, the classical Henstock-Kurzweil integral on the real line, the dyadic Henstock-Kurzweil integral, the Mawhin’s integral [19], and the \(s\)-HK integral [4]. The main result of this paper is the extension of the usual descriptive characterizations of the Henstock-Kurzweil integral on the real line, in terms of \(ACG^*\) functions (Main Theorem 1) and in terms of variational measures (Main Theorem 2).

HK-integralMeasure (physics)Space (mathematics)26A39Settore MAT/05 - Analisi MatematicaMetric (mathematics)CalculusGeometry and Topology28A12HK-integral ACG4 function critical variationAnalysis\(ACG^\bigtriangleup\) functionMathematicscritical variation
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3d mesh denoising using normal based myriad filter

2011

We propose a new filtering scheme for denoising of 3D objects which are represented by a triangular mesh. This scheme consists on applying myriad filter to face normals and then updating the vertices positions in order to preserve the original shape of the object. The choice of the Myriad is justified by the assumption of Cauchy distributed angles between surface normals. This filter improves the performance of a normal-based method which is adapted to the underlying mesh structure. To evaluate these methods of filtering, we use three error metrics. The first is based on the vertices, the second is based on the normals and the third is based on Hausdorff distance. Experimental results demon…

Hausdorff distanceNoise reductionFace (geometry)Triangle meshMedian filterCauchy distributionPolygon meshFilter (signal processing)TopologyAlgorithmComputingMethodologies_COMPUTERGRAPHICSMathematics2011 Seventh International Conference on Signal Image Technology & Internet-Based Systems
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Estimación mediante programación genética de los patrones del suelo humectantes para el riego por goteo

2012

Drip irrigation is considered as one of the most efficient irrigation systems. Knowledge of the soil wetted perimeter arising from infiltration of water from drippers is important in the design and management of efficient irrigation systems. To this aim, numerical models can represent a powerful tool to analyze the evolution of the wetting pattern during irrigation, in order to explore drip irrigation management strategies, to set up the duration of irrigation, and finally to optimize water use efficiency. This paper examines the potential of genetic programming (GP) in simulating wetting patterns of drip irrigation. First by considering 12 different soil textures of USDA–SCS soil texture t…

Hydrologysoil texture triangleIrrigationHydrusnumerical modelsinfiltraciónSoil textureHYDRUS 2Dmodelos numéricosDrip irrigationinfiltrationtriángulo de texturas del suelosoil texture triangle.Wetted perimeterInfiltration (hydrology)LoamSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestaligenetic programmingprogramación genéticaWettingnumerical modelAgronomy and Crop ScienceMathematics
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Total curvatures of convex hypersurfaces in hyperbolic space

1999

We give sharp upper estimates for the difference circumradius minus inradius and for the angle between the radial vector (respect to the center of an inball) and the normal to the boundary of a compact $h$-convex domain in the hyperpolic space. We apply these estimates to get the limit at the infinity for the quotients Volume/Area and (Total $k$-mean curvature)/Area of a family of $h$-convex domains which expand over the whole space. The theorem for the first quotient gives an extension to arbitrary dimension of a result of Santalo and Yanez for the hyperbolic plane.

Hyperbolic groupGeneral MathematicsHyperbolic spaceHyperbolic 3-manifoldMathematical analysisHyperbolic angleMathematics::Metric GeometryHyperbolic manifoldUltraparallel theoremHyperbolic triangleRelatively hyperbolic groupMathematicsIllinois Journal of Mathematics
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THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE

2005

Some geometrical properties associated to the contact of submanifolds with hyperhorospheres in hyperbolic -space are studied as an application of the theory of Legendrian singularities.

Hyperbolic groupGeneral MathematicsHyperbolic spaceMathematical analysisHyperbolic 3-manifoldHyperbolic manifoldUltraparallel theoremGeometryHyperbolic motionMathematics::Geometric TopologyRelatively hyperbolic groupMathematics::Differential GeometryMathematics::Symplectic GeometryHyperbolic triangleMathematicsJournal of the London Mathematical Society
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f2(1810) as a triangle singularity

2017

We perform calculations showing that a source producing ${K}^{*}{\overline{K}}^{*}$ in $J=2$ and $L=0$ gives rise to a triangle singularity at 1810 MeV with a width of about 200 MeV from the mechanism ${K}^{*}\ensuremath{\rightarrow}\ensuremath{\pi}K$ and then $K{\overline{K}}^{*}$ merging into the ${a}_{1}(1260)$ resonance. We suggest that this is the origin of the present ${f}_{2}(1810)$ resonance and propose to look at the $\ensuremath{\pi}{a}_{1}(1260)$ mode in several reactions to clarify the issue.

Ideal trianglePhysicsEssential singularitySingularity010308 nuclear & particles physics0103 physical sciencesIsosceles triangleSchwarz triangle010306 general physicsTriangle group01 natural sciencesResonance (particle physics)Mathematical physicsPhysical Review D
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An ontology change management approach for facility management

2014

International audience; Facility management (FM) or technical property management is an approach to operate, maintain, improve and adapt buildings and infrastructures of organizations. A FM project requires the cooperation of many actors from different domains so it has to be automated in a constrained collaborative environment. This paper proposes a new approach for ontology change management applied on facility management of such projects. The industrial challenge is, firstly, to ensure consistency of a FM project knowledge from the construction phase to the technical property management phase (after delivery). Secondly, it has to provide to each actor of the project a personal up-to-date…

Information managementEngineering[ INFO.INFO-IR ] Computer Science [cs]/Information Retrieval [cs.IR][ INFO.INFO-TT ] Computer Science [cs]/Document and Text ProcessingProcess managementKnowledge managementGeneral Computer Sciencebusiness.industryOntology-based data integrationProcess ontology[INFO.INFO-WB]Computer Science [cs]/WebGeneral Engineering[ INFO.INFO-WB ] Computer Science [cs]/Web[INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO]Ontology (information science)Change management (ITSM)[INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI][INFO.INFO-TT]Computer Science [cs]/Document and Text ProcessingFacility management[INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR]Upper ontology[ INFO.INFO-LO ] Computer Science [cs]/Logic in Computer Science [cs.LO]business[ INFO.INFO-AI ] Computer Science [cs]/Artificial Intelligence [cs.AI]Project management triangle
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