Search results for "angulation"

showing 10 items of 70 documents

Architectural Scenes Reconstruction from Uncalibrated Photos and Map Based Model Knowledge

2001

In this paper we consider the problem of reconstructing architectural scenes from multiple photographs taken from arbitrarily viewpoints. The original contribution of this work is the use of a map as a source of a priori knowledge and geometric constraints in order to obtain in a fast and simple way a detailed model of a scene. We suppose images are uncalibrated and have at least one planar structure as a facade for exploiting the planar homography induced between world plane and image to calculate a first estimation of the projection matrix. Estimations are improved by using correspondences between images and map. We show how these simple constraints can be used to calibrate the cameras, t…

Plane (geometry)business.industryComputer scienceComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONTriangulation (social science)Triangulation (computer vision)Iterative reconstructionProjection (linear algebra)Image (mathematics)Trifocal tensorSimple (abstract algebra)Computer Science::Computer Vision and Pattern RecognitionHomographyComputer visionArtificial intelligencebusiness
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The positioning system of the ANTARES Neutrino Telescope

2012

The ANTARES neutrino telescope, located 40km off the coast of Toulon in the Mediterranean Sea at a mooring depth of about 2475m, consists of twelve detection lines equipped typically with 25 storeys. Every storey carries three optical modules that detect Cherenkov light induced by charged secondary particles (typically muons) coming from neutrino interactions. As these lines are flexible structures fixed to the sea bed and held taut by a buoy, sea currents cause the lines to move and the storeys to rotate. The knowledge of the position of the optical modules with a precision better than 10cm is essential for a good reconstruction of particle tracks. In this paper the ANTARES positioning sys…

Positioning systemDetector control systems (detector and experiment monitoring and slow-control systems architecture hardware algorithms databases)Detector modelling and simulations II (electric fieldsDetector alignment and calibration methods (lasers sources particle-beams)01 natural sciencesTiming detectorshardwareDetector alignment and calibration methods010303 astronomy & astrophysicsInstrumentationDETECTOR ALIGMENTMathematical PhysicsHigh Energy Astrophysical Phenomena (astro-ph.HE)PhysicsSOUND[SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph]Orientation (computer vision)[SDU.ASTR.HE]Sciences of the Universe [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE]DetectorAstrophysics::Instrumentation and Methods for AstrophysicsTriangulation (computer vision)particle-beams)GeodesyDETECTOR CONTROL SYSTEMDetector modelling and simulations II (electric fields charge transport multiplication and induction pulse formation electron emission etc)Física nuclearNeutrinoAstrophysics - Instrumentation and Methods for AstrophysicsAstrophysics - High Energy Astrophysical Phenomenadatabases)sources[PHYS.ASTR.HE]Physics [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE]pulse formationarchitecture[PHYS.ASTR.IM]Physics [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM]Astrophysics::High Energy Astrophysical PhenomenaFOS: Physical sciencesddc:500.2DETECTOR MODELLING AND SIMULATIONSDetector modelling and simulations IIalgorithmsPhysics::Geophysics0103 physical sciences14. Life underwaterInstrumentation and Methods for Astrophysics (astro-ph.IM)Cherenkov radiationetc)multiplication and inductionBuoyDetector control systems010308 nuclear & particles physicsDetector control systems (detector and experiment monitoring and slow-control systemsMooringcharge transport[SDU.ASTR.IM]Sciences of the Universe [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM]Detector alignment and calibration methods (laserselectron emissionFISICA APLICADAdetector modelling and simulations ii (electric fields; antares neutrino telescope; multiplication and induction; charge transport; pulse formation; electron emission; etc); hardware; architecture; timing detectors; detector control systems (detector and experiment monitoring and slow-control systems; algorithms; databases); sources; detector alignment; calibration.; acoustic positioning; detector alignment and calibration methods (lasers; particle-beams)
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Remark on integrable Hamiltonian systems

1980

An extension ton degrees of freedom of the fact is established that forn=1 the time and the energy constant are canonically conjugate variables. This extension is useful in some cases to get action-angle variables from the general solution of a given integrable Hamiltonian system. As an example the Delaunay variables are proved to be canonical.

Pure mathematicsIntegrable systemDelaunay triangulationApplied MathematicsMathematical analysisDegrees of freedom (physics and chemistry)Conjugate variablesAstronomy and AstrophysicsExtension (predicate logic)Hamiltonian systemComputational MathematicsSpace and Planetary ScienceModeling and SimulationAutomotive EngineeringConstant (mathematics)Mathematical PhysicsMathematicsCelestial Mechanics
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Skeleta of affine hypersurfaces

2014

A smooth affine hypersurface Z of complex dimension n is homotopy equivalent to an n-dimensional cell complex. Given a defining polynomial f for Z as well as a regular triangulation of its Newton polytope, we provide a purely combinatorial construction of a compact topological space S as a union of components of real dimension n, and prove that S embeds into Z as a deformation retract. In particular, Z is homotopy equivalent to S.

Pure mathematicsPolynomialMathematicsofComputing_GENERALAffinePolytopeComplex dimensionTopological spaceTriangulation14J70Mathematics - Algebraic GeometryComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsHomotopy equivalenceAlgebraic Topology (math.AT)Mathematics - Algebraic TopologyKato–Nakayama spaceAlgebraic Geometry (math.AG)SkeletonMathematicsToric degenerationTriangulation (topology)HomotopyLog geometry14J70 14R99 55P10 14M25 14T05RetractionHypersurfaceHypersurfaceNewton polytopeSettore MAT/03 - GeometriaGeometry and TopologyAffine transformationKato-Nakayama space14R99
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Bezier curves approximation of triangularized surfaces using SVG

2006

This paper presents a technique to convert surfaces, obtained through a Data Dependent Triangulation, in Bezier Curves by using a Scalable Vector Graphics File format. The method starts from a Data Dependent Triangulation, traces a map of the boundaries present into the triangulation, using the characteristics of the triangles, then the estimated barycenters are connected, and a final conversion of the resulting polylines in curves is performed. After the curves have been estimated and closed the final representation is obtained by sorting the surfaces in a decreasing order. The proposed techniques have been compared with other raster to vector conversions in terms of perceptual quality.

SVG Triangulation Bezier curvesScalable Vector GraphicsSortingTriangulation (social science)Image processingBézier curvecomputer.file_formatComputer Science::Computational GeometryFile formatVisualizationComputer graphics (images)Representation (mathematics)computerComputingMethodologies_COMPUTERGRAPHICSMathematicsSPIE Proceedings
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Advanced SVG Triangulation/Polygonalization of Digital Images

2005

SVG Triangulation Watershed Wavelet Polygonalization
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Advanced SVG Rendering of Digital Images

2005

SVG Triangulation Watershed Wavelet Vectorialization
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Automatic Conversion Technique from Data Dependent Triangulation to SVG B-Splines

2005

SVG spline data dependent triangulation vectorization
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Radiometric and geometric evaluation of the capabilities of the new airborne digital photogrammetric sensors

2008

In this paper the theoretic and practical points of view about the applications of the modern digital airborne sensors in the photogrammetry and remote sensing fields are described. The first part of the paper describes the theoretic matter, the second one shows the first results regarding the carried out elaborations on an image of Palermo acquired by digital airborne sensor LH System ADS40. Besides the research has examined most of sides regarding the trilinear sensor and it has highlighted the capabilities and limitations respect to the traditional analogical system and the matricial CCD sensor.

Sensors CCD Mapping Photogrammetry GPS/INS Digital Triangulation DTMSettore ICAR/06 - Topografia E Cartografia
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Magnetic resonance image segmentation and heart motion tracking with an active mesh based system

2002

International audience; Abstract: The work presented here relates to a method fir motion tracking in sequences of medical images. The purpose is to. quantify the general motions and the local deformations of a beating heart during a cardiac cycle. In order to achieve this goal, we first tessellate the,first image of the sequence into triangular patches. A Delaunay triangulation is applied to find the optimal set of triangles describing this image, giving a mesh covering the organs. One imposes the contours of the organs to correspond to edges of triangles so that each part of the heart (left ventricle, right ventricle, myocardium) can he described as a different set of triai izles, each set…

Sequence[ INFO.INFO-IM ] Computer Science [cs]/Medical ImagingDelaunay triangulationbusiness.industryQuantitative Biology::Tissues and OrgansPhysics::Medical Physics[INFO.INFO-IM] Computer Science [cs]/Medical Imaging02 engineering and technologyImage segmentationTracking (particle physics)01 natural sciencesImage (mathematics)010309 opticsMatch movingMesh generation0103 physical sciences[INFO.INFO-IM]Computer Science [cs]/Medical Imaging0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingComputer visionSegmentationArtificial intelligencebusinessMathematics
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