Search results for "Map"

showing 10 items of 3484 documents

A Raman spectroscopy study of the oxidation processes in synthetic chromite FeCr2O4

2020

Abstract A crystal of synthetic chromite FeCr2O4 has been annealed in air at 700 °C for 50 days at room pressure in order to study physical-chemical changes. After the annealing treatment, Scanning Electron Microscopy (SEM) images of the polished surface of the sample showed areas of different composition. Detailed Raman mapping revealed that the annealed chromite undergoes an oxidation process, proceeding inwards from the outer surface and leading to the transformation of chromite to magnetite, and ultimately to hematite. The oxidation process also leads to the formation of trellis-like lines, arguably via stress-related mechanisms associated with the phase transformation and consequent vo…

Materials scienceRaman mappingAnnealing (metallurgy)Scanning electron microscopeSpinelHematite02 engineering and technologyRaman mapping01 natural sciencesMagnetitechemistry.chemical_compoundsymbols.namesake0103 physical sciencesOxidationMaterials ChemistryMagnetite010302 applied physicsProcess Chemistry and TechnologyChromiteHematite021001 nanoscience & nanotechnologySpinel; Chromite; Magnetite; Hematite; Oxidation; Raman mappingSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialschemistryChemical engineeringvisual_artCeramics and Compositessymbolsvisual_art.visual_art_mediumChromiteOxidation process0210 nano-technologyRaman spectroscopy
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Unmixing of human skin optical reflectance maps by Non-negative Matrix Factorization algorithm

2013

International audience; We present in this paper the decomposition of human skin absorption spectra with a Non-negative Matrix Factorization method. In doing so, we are able to quantify the relative proportion of the main chromophores present in the epidermis and the dermis. We present experimental results showing that we obtain a good estimate of melanin and hemoglobin concentrations. Our approach has been validated by analyzing the human skin absorption spectra in areas of healthy skin and areas affected by melasma on eight patients.

Materials science[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image ProcessingAbsorption spectroscopyMelasmaHealth InformaticsHuman skin02 engineering and technology[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processing01 natural sciencesNon-negative Matrix FactorizationNon-negative matrix factorizationMatrix decomposition010309 opticsSpectral reconstructionOpticsDermis[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing0103 physical sciences0202 electrical engineering electronic engineering information engineeringmedicine[INFO.INFO-IM]Computer Science [cs]/Medical ImagingChromophores quantificationOptical reflectance[ INFO.INFO-IM ] Computer Science [cs]/Medical Imagingintegumentary systembusiness.industrymedicine.diseasemedicine.anatomical_structureSignal Processing020201 artificial intelligence & image processingEpidermisSkin optical reflectance mapsbusinessBiological system[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
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Three-Point Flexural Behaviour of GFRP Sandwich Composites: A Failure Map

2010

In this work, the failure mechanisms of GFRP/PVC foam core sandwich structures subjected to three-point bending are analysed. By varying the skin thickness (t ) and the span length between supports (l), experimental tests were carried out in order to find the relationship between the geometrical configuration of the sandwiches and the failure mechanism. By plotting failure mechanism on a graph of l against t , a failure map was created identifying the three typical failure mode regions of these sandwiches. The graph clearly shows the failure mode corresponding to each combination of l and t . To help optimise the use of these sandwich beams as structural elements, a theoretical failure mode…

Materials sciencefailure mechanismbusiness.industryThree point flexural testMechanical Engineeringfailure mapStructural engineeringBendingFibre-reinforced plasticthree-point bendingSpan (engineering)Settore ING-IND/22 - Scienza E Tecnologia Dei MaterialiFlexural strengthMechanics of MaterialsCeramics and CompositesGraph (abstract data type)SandwichPoint (geometry)Composite materialbusinessFailure mode and effects analysisAdvanced Composite Materials
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Singular value decomposition approach to the yttrium occurrence in mineral maps of rare earth element ores using laser-induced breakdown spectroscopy

2017

Laser-induced breakdown spectroscopy (LIBS) has been used in analysis of rare earth element (REE) ores from the geological formation of Norra Kärr Alkaline Complex in southern Sweden. Yttrium has been detected in eudialyte (Na15 Ca6(Fe,Mn)3 Zr3Si(Si25O73)(O,OH,H2O)3 (OH,Cl)2) and catapleiite (Ca/Na2ZrSi3O9·2H2O). Singular value decomposition (SVD) has been employed in classification of the minerals in the rock samples and maps representing the mineralogy in the sampled area have been constructed. Based on the SVD classification the percentage of the yttrium-bearing ore minerals can be calculated even in fine-grained rock samples. peerReviewed

Materials sciencespektroskopiaEudialyteMineralogychemistry.chemical_elementengineering.material010502 geochemistry & geophysics01 natural sciencesAnalytical ChemistryGeological formationSingular value decompositionmineraalitLaser-induced breakdown spectroscopySpectroscopyInstrumentationta116Spectroscopy0105 earth and related environmental sciencesgeographygeography.geographical_feature_categoryMineralRare-earth element010401 analytical chemistrysingular value decompositionYttriumharvinaiset maametallitAtomic and Molecular Physics and Optics0104 chemical sciencesyttriumrock analysischemistryanalyysiengineeringlaser-induced breakdown spectroscopy (LIBS)mineral mappingSpectrochimica Acta Part B: Atomic Spectroscopy
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Elastoplastic analysis by active macro-zones with linear kinematic hardening and von Mises materials.

2014

In this paper a strategy to perform elastoplastic analysis with linear kinematic hardening for von Mises materials under plane strain conditions is shown. The proposed approach works with the Symmetric Galerkin Boundary Element Method applied to multidomain problems using a mixed variables approach, to obtain a more stringent solution. The elastoplastic analysis is carried out as the response to the loads and the plastic strains, the latter evaluated through the self-equilibrium stress matrix. This matrix is used both, in the predictor phase, for trial stress evaluation and, in the corrector phase, for solving a nonlinear global system which provides the elastoplastic solution of the active…

Mathematical optimizationApplied MathematicsComputational MathematicsNonlinear systemsymbols.namesakeMatrix (mathematics)Consistency (statistics)Multidomain SGBEM Self-equilibrium stressActive macro-zones Hardening von Mises materials Return mapping algorithm.Jacobian matrix and determinantsymbolsApplied mathematicsvon Mises yield criterionMultidomain SGBEM Self-equilibrium stress Active macro-zonesHardening von Mises materials Return mapping algorithmGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodPlane stressMathematics
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An approximate fixed point result for multivalued mappings under two constraint inequalities

2017

We consider an approximate multivalued fixed point problem under two constraint inequalities, for which we provide sufficient conditions for the existence of at least one solution. Then, we present some consequences and related results.

Mathematical optimizationInequalityApplied Mathematicsmedia_common.quotation_subject010102 general mathematicsmultivalued mappingFixed point01 natural sciences010101 applied mathematicsConstraint (information theory)Fixed point problemfixed pointSettore MAT/05 - Analisi MatematicaModeling and Simulationpartial orderGeometry and TopologySettore MAT/03 - Geometria0101 mathematicsConstraint inequalitieMathematicsmedia_common
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Deflation-Based FastICA With Adaptive Choices of Nonlinearities

2014

Deflation-based FastICA is a popular method for independent component analysis. In the standard deflation-base d approach the row vectors of the unmixing matrix are extracted one after another always using the same nonlinearities. In prac- tice the user has to choose the nonlinearities and the efficiency and robustness of the estimation procedure then strongly depends on this choice as well as on the order in which the components are extracted. In this paper we propose a novel adaptive two- stage deflation-based FastICA algorithm that (i) allows one to use different nonlinearities for different components and (ii) optimizes the order in which the components are extracted. Based on a consist…

Mathematical optimizationta112Asymptotic distribution020206 networking & telecommunications02 engineering and technology01 natural sciencesIndependent component analysis010104 statistics & probabilityNonlinear systemRobustness (computer science)Signal Processing0202 electrical engineering electronic engineering information engineeringFastICAEquivariant mapAffine transformation0101 mathematicsElectrical and Electronic EngineeringAlgorithmFinite setMathematicsIEEE Transactions on Signal Processing
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Reconstruction from boundary measurements for less regular conductivities

2012

In this paper, following Nachman's idea and Haberman and Tataru's idea, we reconstruct $C^1$ conductivity $\gamma$ or Lipchitz conductivity $\gamma$ with small enough value of $|\nabla log\gamma|$ in a Lipschitz domain $\Omega$ from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$. In the appendix the authors and R. M. Brown recover the gradient of a $C^1$-conductivity at the boundary of a Lipschitz domain from the Dirichlet-to-Neumann map $\Lambda_{\gamma}$.

Mathematics - Analysis of PDEs35R30Inverse conductivity problemCalderón problemAstrophysics::High Energy Astrophysical PhenomenaBourgain's spaceFOS: MathematicsMathematics::Analysis of PDEsDirichlet-to-Neumann mapMathematics::Spectral TheoryBoundary integral equationAnalysis of PDEs (math.AP)
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Quasiregular ellipticity of open and generalized manifolds

2014

We study the existence of geometrically controlled branched covering maps from \(\mathbb R^3\) to open \(3\)-manifolds or to decomposition spaces \(\mathbb {S}^3/G\), and from \(\mathbb {S}^3/G\) to \(\mathbb {S}^3\).

Mathematics - Complex VariablesApplied Mathematics010102 general mathematicsquasiregular mappingsdecomposition spacesGeometric Topology (math.GT)Metric Geometry (math.MG)01 natural sciencesCombinatoricsMathematics - Geometric Topologysemmes metricsComputational Theory and MathematicsMathematics - Metric Geometryquasiregular ellipticity0103 physical sciencesFOS: Mathematics30C65 (Primary) 30L10 (Secondary)010307 mathematical physicsBranched covering0101 mathematicsComplex Variables (math.CV)AnalysisMathematics
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On proper branched coverings and a question of Vuorinen

2022

We study global injectivity of proper branched coverings from the open Euclidean n$n$-ball onto an open subset of the Euclidean n$n$-space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphisms when n=3$n=3$ or when the branch set is empty. This gives a positive answer to the corresponding cases of a question of Vuorinen. Peer reviewed

Mathematics - Complex VariablesGeneral Mathematicseuklidinen geometriaGeometric Topology (math.GT)Euclidean geometryMathematics - Geometric TopologyMAPSFOS: Mathematics111 MathematicsHigh Energy Physics::ExperimentComplex Variables (math.CV)SETMONODROMY57M12 30C65 57M30
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