Einführung in die angewandte Geometrie

DOI10.1007/978-3-0346-0651-6zbMath1285.51001OpenAlexW131844254MaRDI QIDQ3579928

Oswin Aichholzer, Bert Jüttler

Publication date: 11 August 2010

Full work available at URL: https://doi.org/10.1007/978-3-0346-0651-6

zbMATH Keywords

hyperbolic geometryVoronoi diagramquadricBézier curvesLagrange polynomialBernstein polynomialDelaunay triangulationpartition of unityPascal's theoremskeletonbiarcCayley-Klein geometryDesargues' theoremblossomSteiner's theoremPappus' theoremelliptic geometryBézier splinesBrianchon's theoremalgorithm of de Casteljau``divide and conquer principle2D Graham scan algorithmalgorithm of iterative additionbig O notationcircle splineinversion with respect to a \(1\)- or \(2\)-spheretheorem of Laguerretheorem of Szemerédi-Trotter

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17) Euclidean analytic geometry (51N20) Affine analytic geometry (51N10) Projective analytic geometry (51N15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01)

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