Search results for "Orff"

showing 10 items of 199 documents

A Coupled Schema of Probabilistic Atlas and Statistical Shape and Appearance Model for 3D Prostate Segmentation in MR Images

2012

International audience; A hybrid framework of probabilistic atlas and statistical shape and appearance model (SSAM) is proposed to achieve 3D prostate segmentation. An initial 3D segmentation of the prostate is obtained by registering the probabilistic atlas to the test dataset with deformable Demons registration. The initial results obtained are used to initialize multiple SSAMs corresponding to the apex, central and base regions of the prostate gland to incorporate local variabilities. Multiple mean parametric models of shape and appearance are derived from principal component analysis of prior shape and intensity information of the prostate from the training data. The parameters are then…

Similarity (geometry)[ INFO.INFO-IM ] Computer Science [cs]/Medical ImagingSegmentation-based object categorizationbusiness.industry[INFO.INFO-IM] Computer Science [cs]/Medical ImagingImage registrationScale-space segmentationPattern recognition02 engineering and technologyImage segmentation030218 nuclear medicine & medical imagingActive appearance model03 medical and health sciences0302 clinical medicineHausdorff distance0202 electrical engineering electronic engineering information engineering[INFO.INFO-IM]Computer Science [cs]/Medical Imaging020201 artificial intelligence & image processingSegmentationComputer visionArtificial intelligencebusinessMathematics
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A new weighted normal-based filter for 3D mesh denoising

2018

In this paper, we propose a normal based filtering method for 3D mesh denoising. For this purpose, we compute the new triangle normal vectors by using a weighted sum of the average (smoothness) and the myriad (sharpness) filters in each neighborhood. These weights, that reflect the degree of the surface sharpness, are calculated according to the statistical distribution of the angles between the normal vectors of the triangles. The histogram of the angles between surface normal vectors is accurately fitted by the well known Cauchy distribution. Here, we justify the use of the myriad filter whose estimated value represents the optimum of the location parameter of the investigated distributio…

Smoothness (probability theory)Location parameter[INFO.INFO-TS] Computer Science [cs]/Signal and Image ProcessingCauchy distribution020206 networking & telecommunications020207 software engineering02 engineering and technologyFilter (signal processing)Hausdorff distance[INFO.INFO-TS]Computer Science [cs]/Signal and Image ProcessingHistogram0202 electrical engineering electronic engineering information engineeringPolygon meshNormalAlgorithmComputingMilieux_MISCELLANEOUSComputingMethodologies_COMPUTERGRAPHICSMathematics2018 9th International Symposium on Signal, Image, Video and Communications (ISIVC)
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Rytmiikan oppimisen lähtökohdat

2014

Tämä tutkielma käsittelee rytmiikan oppimisen lähtökohtia. Rytmiikan oppimista tarkastellaan psykofyysisen kehityksen, valikoitujen keskeisen oppimisteorioiden sekä motorisen kehityksen näkökulmasta. Lisäksi tutkielmassa ovat opetuskäytäntöinä edustettuina kehollinen lähestyminen sekä sanarytmiikan ja rytmitavujen käyttö rytmiikan opetuksessa. Didaktiset käytännöt ovat instrumenttiopetuksessa usein hiljaista tietoa ja opetuskäytännöt ovat riippuvaisia opettajan taitotasosta sekä kiinnostuksen kohteista. Opetustaitojensa kehittämisestä kiinnostuneille tietoa on saatavilla kuitenkin hajanaisesti. Esimerkiksi lyömäsoitinopetuksessa rytmiikan opetukseen liittyen ei ole saatavilla kirjallisuutta…

SsnarytmiDalcrozemotorinen oppiminenPiagetkehorytmikoordinaatioBrunerOrffGardnerrytmiikkaoppimiskäsitys
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Applications de type Lasota–Yorke à trou : mesure de probabilité conditionellement invariante et mesure de probabilité invariante sur l'ensemble des …

2003

Abstract Let T :I→I be a Lasota–Yorke map on the interval I, let Y be a nontrivial sub-interval of I and g 0 :I→ R + , be a strictly positive potential which belongs to BV and admits a conformal measure m. We give constructive conditions on Y ensuring the existence of absolutely continuous (w.r.t. m) conditionally invariant probability measures to nonabsorption in Y. These conditions imply also existence of an invariant probability measure on the set X∞ of points which never fall into Y. Our conditions allow rather “large” holes.

Statistics and ProbabilityDiscrete mathematicsPure mathematicsHausdorff dimensionErgodic theoryInvariant measureInterval (mathematics)Statistics Probability and UncertaintyInvariant (mathematics)Absolute continuityMeasure (mathematics)Probability measureMathematicsAnnales de l'Institut Henri Poincare (B) Probability and Statistics
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Efficient spatial designs using Hausdorff distances and Bayesian optimization

2021

An iterative Bayesian optimisation technique is presented to find spatial designs of data that carry much information. We use the decision theoretic notion of value of information as the design criterion. Gaussian process surrogate models enable fast calculations of expected improvement for a large number of designs, while the full-scale value of information evaluations are only done for the most promising designs. The Hausdorff distance is used to model the similarity between designs in the surrogate Gaussian process covariance representation, and this allows the suggested algorithm to learn across different designs. We study properties of the Bayesian optimisation design algorithm in a sy…

Statistics and ProbabilityHausdorff distancebayesilainen menetelmäBayesian optimizationHausdorff spacepäätöksentukijärjestelmätBayesian optimisationpaikkatietoanalyysivalue of informationValue of informationHausdorff distanceoptimointiStatistics Probability and UncertaintyAlgorithmMathematics
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Genericity of dimension drop on self-affine sets

2017

We prove that generically, for a self-affine set in $\mathbb{R}^d$, removing one of the affine maps which defines the set results in a strict reduction of the Hausdorff dimension. This gives a partial positive answer to a folklore open question.

Statistics and ProbabilityPure mathematicsthermodynamic formalismDynamical Systems (math.DS)01 natural sciencesself-affine setsingular value functionAffine combinationAffine hullClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics - Dynamical Systems0101 mathematicsMathematicsDiscrete mathematicsta111010102 general mathematicsMinkowski–Bouligand dimensionproducts of matricesEffective dimension010101 applied mathematicsAffine coordinate systemMathematics - Classical Analysis and ODEsHausdorff dimensionAffine transformationStatistics Probability and UncertaintyStatistics & Probability Letters
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2021

Abstract We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y, dY ). We say that a metric space (Y, dY ) is a quasiconformal Jordan domain if the completion ̄Y of (Y, dY ) has finite Hausdorff 2-measure, the boundary ∂Y = ̄Y \ Y is homeomorphic to 𝕊1, and there exists a homeomorphism ϕ: 𝔻 →(Y, dY ) that is quasiconformal in the geometric sense. We show that ϕ has a continuous, monotone, and surjective extension Φ: 𝔻 ̄ → Y ̄. This result is best possible in this generality. In addition, we find a necessary and sufficient condition for Φ to be a quasiconformal homeomorphism. We provide sufficient conditions for the restriction of Φ to 𝕊1 being a quasi…

Surjective functionCombinatoricsMetric spaceApplied MathematicsDomain (ring theory)Hausdorff spaceBoundary (topology)Geometry and TopologyQuasicirclePlateau's problemAnalysisHomeomorphismMathematicsAnalysis and Geometry in Metric Spaces
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On a Continuous Sárközy-Type Problem

2022

Abstract We prove that there exists a constant $\epsilon> 0$ with the following property: if $K \subset {\mathbb {R}}^2$ is a compact set that contains no pair of the form $\{x, x + (z, z^{2})\}$ for $z \neq 0$, then $\dim _{\textrm {H}} K \leq 2 - \epsilon $.

Szemerédi’s theoremfractalsGeneral Mathematicspolynomitpolynomial configurationsHausdorff dimensionfraktaalitmittateoriafinite fieldsharmoninen analyysiFourier transforms of measuresminimeasuresInternational Mathematics Research Notices
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Der Völkerfrühling von 1848/1849 – revolutionäre Gefahr oder republikanischer Durchbruch? Ästhetisch-historische Bilder

2022

The aim of this article is to present the revolutionary events of 1848/1849 in German states from the point of view of Joseph von Eichendorff and Theodor Opitz, which are based on their refl ections, experiences and reactions to this political and breakthrough coup. Eichendorff and Opitz present two different views on the events of the Spring of Nations. These two intellectuals and writers are linked by the last letter from Eichendorff to Theodor Opitz as well as the ideal of freedom, which became their life motto.

The Spring of Nations 1848/1849Joseph von EichendorffMaximilien de RobespierreTheodor OpitzFrench RevolutionStudia Niemcoznawcze
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Invariants of transverse foliations

2012

Abstract We construct two invariants for a pair of transverse one-dimensional foliations on the plane. If the set of separatrices is Hausdorff in the space of leaves, the invariant is a distinguished graph. In case there are a finite number of separatrices the invariant is an indexed link.

Transverse planePure mathematicsMathematics::Dynamical SystemsPlane foliationsInvariants of foliationsMathematical analysisPhysics::Space PhysicsHausdorff spaceTransverse foliationsGeometry and TopologyInvariant (mathematics)Finite setMathematicsTopology and its Applications
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