Search results for " Resolution"

showing 10 items of 1159 documents

Simulated one-pass list-mode: an approach to on-the-fly system matrix calculation.

2013

In the development of prototype systems for positron emission tomography a valid and robust image reconstruction algorithm is required. However, prototypes often employ novel detector and system geometries which may change rapidly under optimization. In addition, developing systems generally produce highly granular, or possibly continuous detection domains which require some level of on-the-fly calculation for retention of measurement precision. In this investigation a new method of on-the-fly system matrix calculation is proposed that provides advantages in application to such list-mode systems in terms of flexibility in system modeling. The new method is easily adaptable to complicated sy…

Mathematical optimizationRadiological and Ultrasound Technology010308 nuclear & particles physicsRandom number generationDetectorProcess (computing)Iterative reconstructionMaximizationSystems modelingModels Theoretical01 natural sciences030218 nuclear medicine & medical imaging03 medical and health sciencesNoise0302 clinical medicinePositron-Emission Tomography0103 physical sciencesImage Processing Computer-AssistedRadiology Nuclear Medicine and imagingAlgorithmImage resolutionMathematicsPhysics in medicine and biology
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Methods cooperation for multiresolution motion estimation

2002

For a medical application, we are interested in an estimation of optical flow on a patient's face, particularly around the eyes. Among the methods of optical flow estimation, gradient estimation and block matching are the main methods. However, the gradient-based approach can only be applied for small displacements (one or two pixels). Gener- ally, the process of block matching leads to good results only if the searching strategy is judiciously selected. Our approach is based on a Markov random field model, combined with an algorithm of block match- ing in a multiresolution scheme. The multiresolution approach allows de- tection of a large range of speeds. The large displacements are detect…

Mathematical optimizationRandom fieldMarkov random fieldMarkov chainComputer scienceGeneral EngineeringOptical flowInitializationMotion detectionImage processingAtomic and Molecular Physics and OpticsOptical flow estimationMotion estimationImage resolutionAlgorithmBlock (data storage)Block-matching algorithmOptical Engineering
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Symmetric locally free resolutions and rationality problems

2022

We show that the birationality class of a quadric surface bundle over $\mathbb{P}^2$ is determined by its associated cokernel sheaves. As an application, we discuss stable-rationality of very general quadric bundles over $\mathbb{P}^2$ with discriminant curves of fixed degree. In particular, we construct explicit models of these bundles for some discriminant data. Among others, we obtain various birational models of a nodal Gushel-Mukai fourfold, as well as of a cubic fourfold containing a plane. Finally, we prove stable irrationality of several types of quadric surface bundles.

Mathematics - Algebraic GeometryMathematics::Algebraic GeometryApplied MathematicsGeneral MathematicsFOS: Mathematics13D02 14E08 14D06 14J32 14J45quadric bundle Brauer class symmetric resolutions rationalitySettore MAT/03 - GeometriaMathematics - Commutative AlgebraCommutative Algebra (math.AC)Mathematics::Symplectic GeometryAlgebraic Geometry (math.AG)Communications in Contemporary Mathematics
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Multi-resolution analysis in arbitrary Hilbert spaces

1997

We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.

Mathematics - Functional Analysismulti resolution analysisFOS: MathematicsSettore MAT/07 - Fisica MatematicaComputer Science::DatabasesFunctional Analysis (math.FA)
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Multi-resolution analysis generated by a seed function

2009

In this paper we use the equivalence result originally proved by the author, which relates a multiresolution analysis (MRA) of ℒ2(R) and an orthonormal set of single electron wave functions in the lowest Landau level, to build up a procedure which produces, starting with a certain square-integrable function, a MRA of ℒ2(R). © 2003 American Institute of Physics.

Mathematics::Functional AnalysisMulti resolution analysisMathematical analysisFOS: Physical sciencesStatistical and Nonlinear PhysicsFunction (mathematics)Landau quantizationMathematical Physics (math-ph)Physics and Astronomy (all)Single electronMathematical PhysicSettore MAT/07 - Fisica MatematicaOrthonormalityEquivalence (measure theory)Mathematical PhysicsMathematics
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High resolution in currents reconstruction applying the extrapolation matrix and spectrum replies

2007

A faster method for the reconstruction of currents has been proposed. For this a new algorithm has been used which extrapolates a 2D signal in less time than the iterative method of Papoulis. Results exposed in this paper show the likeness of the reconstructed currents with the new algorithm with those of the iterative method and the improvement that might be obtained in these new currents with regard to the iterative one. Furthermore, results show the higher speed of the new matrix method.

Matrix (mathematics)Mathematical optimizationSignal reconstructionIterative methodSpectrum (functional analysis)ExtrapolationHigh resolutionAlgorithmSignalMathematicsMatrix method2007 IEEE Antennas and Propagation Society International Symposium
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Nuclear moments and charge radii of105, 106In

1985

With high resolution collinear fast beam laser spectroscopy in the 451 nm-line of Indium nuclear moments and the change in the mean square radii of the nuclear charge distribution of105,106 In have been determined.

Mean squarePhysicsNuclear and High Energy PhysicsNuclear Theorychemistry.chemical_elementHigh resolutionCharge (physics)Effective nuclear chargeDistribution (mathematics)chemistryNuclear fusionAtomic physicsNuclear ExperimentSpectroscopyIndiumZeitschrift f�r Physik A Atoms and Nuclei
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Predicting sediment deposition rate in check-dams using machine learning techniques and high-resolution DEMs

2021

Sediments accumulated in check dams are a valuable measure to estimate soil erosion rates. Here, geographic information systems (GIS) and three machine learning techniques (MARS-multivariate adaptive regression splines, RF-random forest and SVM-support vector machine) were used, for the first time, to predict sediment deposition rate (SR) in check-dams located in six watersheds in SW Spain. There, 160 dry-stone check dams (~ 77.8 check-dams km−2), accumulated sediments during a period that varied from 11 to 23 years. The SR was estimated in former research using a topographical method and a high-resolution Digital Elevation Model (DEM) (average of 0.14 m3 ha−1 year−1). Nine environmental-to…

Mean squared error0208 environmental biotechnologyMean absolute errorSoil ScienceHigh resolution02 engineering and technology010501 environmental sciencesMachine learningcomputer.software_genre01 natural sciencesEnvironmental ChemistryDigital elevation model0105 earth and related environmental sciencesEarth-Surface ProcessesWater Science and TechnologyGlobal and Planetary ChangeMultivariate adaptive regression splinesbusiness.industryGeologyMars Exploration ProgramPollution020801 environmental engineeringCheck dam Machine learning techniques Sediment deposition rate (SR) Structure-from-motion (SfM) Unmanned aerial vehicle (UAV)Support vector machineArtificial intelligencebusinesscomputerCheck dam
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Performance of TES method over urban areas at a high spatial resolution scale

2013

The Temperature and Emissivity Separation (TES) algorithm is used to retrieve the LSE and LST values from hyperspectral sensors. In this work we analyse the performance of this methodology over urban areas. Three different sources of error in the processing chain of the remote sensing imagery are detected: the algorithm itself, the atmospheric correction and the 3D structure of the urban scenes. The TITAN tool is used to model all the radiative components of the signal registered by a sensor. Results show that: first, the TES algorithm used reproduces the LSE (LST) of urban materials within an RMSE of 0.017 (0.9 K). Second, 20 % of uncertainty in the water vapour content of the total atmosp…

Mean squared errorMeteorologyEmissivityRadiative transferAtmospheric correctionEnvironmental scienceHyperspectral imagingAtmospheric modelScale (map)Image resolutionRemote sensing2013 5th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS)
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Optimizing LUT-Based RTM Inversion for Semiautomatic Mapping of Crop Biophysical Parameters from Sentinel-2 and -3 Data: Role of Cost Functions

2014

Inversion of radiative transfer models (RTM) using a lookup-table (LUT) approach against satellite reflectance data can lead to concurrent retrievals of biophysical parameters such as leaf chlorophyll content (Chl) and leaf area index (LAI), but optimization strategies are not consolidated yet. ESA's upcoming satellites Sentinel-2 (S2) and Sentinel-3 (S3) aim to ensure continuity of old generation satellite sensors by providing superspectral images of high spatial and temporal resolution. This unprecedented data availability leads to an urgent need for developing robust, accurate, and operational retrieval methods. For three simulated Sentinel settings (S2-10 m: 4 bands, S2-20 m: 8 bands an…

Mean squared errorTemporal resolutionLookup tableRadiative transferGeneral Earth and Planetary SciencesSatelliteInversion (meteorology)Electrical and Electronic EngineeringLeaf area indexDivergence (statistics)Remote sensingMathematicsIEEE Transactions on Geoscience and Remote Sensing
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