Search results for "calibrations"

showing 2 items of 2 documents

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
researchProduct

Integration of high resolution spatial and spectral data acquisition systems for monitoring purposes in cultural heritage applications

2013

The concern and interest of this PhD thesis is the registration of featureless 3D and multispectral datasets describing cultural heritage objects.In this context, there are few natural salient features between the complementary datasets, and the use of targets is generally proscribed.We thus develop a technique based on the photogrammetric tracking of the acquisition systems in use.A series of simulations was performed to evaluate the accuracy of our method in three configurations chosen to represent a variety of cultural heritage objects.These simulations show that we can achieve a spatial tracking accuracy of 0.020 mm and an angular accuracy of 0.100 mrad using four 5 Mpx cameras when dig…

[SPI.OTHER]Engineering Sciences [physics]/OtherCalibrations optiques[ SPI.OTHER ] Engineering Sciences [physics]/Other[SPI.OTHER] Engineering Sciences [physics]/Other[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH]Étude du patrimoinePhotogrammétrie3D digitizationImagerie multispectrale[INFO.INFO-OH] Computer Science [cs]/Other [cs.OH]Multispectral imagingOptical calibration2D-3D registrationRecalage 2D – 3DCultural heritageClose range photogrammetry[ INFO.INFO-OH ] Computer Science [cs]/Other [cs.OH]Numérisation 3D
researchProduct