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Métodos de Bézier y B-splines

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ISBN: 3937300473 Year: Pages: XVI, 303 p. DOI: 10.5445/KSP/1000002481 Language: SPANISH
Publisher: KIT Scientific Publishing
Subject: Computer Science
Added to DOAB on : 2019-07-30 20:01:59

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Este libro provee una base sólida para la teoría de curvas de Bézier y B-spline, revelando su elegante estructura matemática. En el texto se hace énfasis en las nociones centrales del Diseño Geométrico Asistido por Computadora con la intención de dar un tratamiento analíticamente claro y geométricamente intuitivo de los principios básicos del área. También contiene material avanzado incluyendo splines multivariados, técnicas de subdivisión y la construcción a mano alzada de superficies con cualquier grado de suavidad. El libro está excelentemente bien ilustrado con diagramas y figuras que aluden directamente al material que se desarrolla en el texto y complementan su carácter constructivo.This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of this underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric design with the intention to give a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent fiugres to emphasize the geometric constructive approach of this book.In diesem Buch werden die grundlegenden Konzepte des Geometrischen Designs (CAGD) dargestellt. Die Eigenschaften von Bézier- und B-Spline Darstellungen werden mit Hilfe von Polarformen einheitlich und stringent hergeleitet. Darüber hinaus werden Konstruktionen von Freiformflächen beliebiger Glattheitsordnung, Unterteilungsalgorithmen, Boxsplines, Simplexsplines und multivariate Splines behandelt. Der Text ist mit vielen hervorragenden Abbildungen illustriert, die den geometrisch konstruktiven Zugang des Buches deutlich hervorheben.

Dreidimensionale Plattenkinematik: Strainanalyse auf B-Spline-Approximationsflächen am Beispiel der Vrancea-Zone / Rumänien

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Book Series: Schriftenreihe des Studiengangs Geodäsie und Geoinformatik ISSN: 16129733 ISBN: 9783866441521 Year: Volume: 2007,5 Pages: VI, 84 p. DOI: 10.5445/KSP/1000007019 Language: GERMAN
Publisher: KIT Scientific Publishing
Subject: Physics (General)
Added to DOAB on : 2019-07-30 20:02:02
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In der Arbeit werden Verfahren und Methoden kombiniert, um eine Analyse der dreidimensionalen Plattenkinematik Rumäniens auf Basis der geschätzten Geschwindigkeiten der Stationen eines GPS-Überwachungsnetzes durchzuführen.Aus den Daten der GPS-Stationen wird mit der Multilevel B-Spline Approximation eine analytische Beschreibung der Bewegung des Untersuchungsgebietes erhalten und anschließend daraus dessen Verformungen, wie Dehnungen und Scherungen, abgeleitet.

Advanced Numerical Methods in Applied Sciences

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ISBN: 9783038976660 9783038976677 Year: Pages: 306 DOI: 10.3390/books978-3-03897-667-7 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-06-26 08:44:06
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The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.

Keywords

time fractional differential equations --- mixed-index problems --- analytical solution --- asymptotic stability --- conservative problems --- Hamiltonian problems --- energy-conserving methods --- Poisson problems --- Hamiltonian Boundary Value Methods --- HBVMs --- line integral methods --- constrained Hamiltonian problems --- Hamiltonian PDEs --- highly oscillatory problems --- boundary element method --- finite difference method --- floating strike Asian options --- continuous geometric average --- barrier options --- isogeometric analysis --- adaptive methods --- hierarchical splines --- THB-splines --- local refinement --- linear systems --- preconditioners --- Cholesky factorization --- limited memory --- Volterra integral equations --- Volterra integro–differential equations --- collocation methods --- multistep methods --- convergence --- B-spline --- optimal basis --- fractional derivative --- Galerkin method --- collocation method --- spectral (eigenvalue) and singular value distributions --- generalized locally Toeplitz sequences --- discretization of systems of differential equations --- higher-order finite element methods --- discontinuous Galerkin methods --- finite difference methods --- isogeometric analysis --- B-splines --- curl–curl operator --- time harmonic Maxwell’s equations and magnetostatic problems --- low rank completion --- matrix ODEs --- gradient system --- ordinary differential equations --- Runge–Kutta --- tree --- stump --- order --- elementary differential --- edge-histogram --- edge-preserving smoothing --- histogram specification --- initial value problems --- one-step methods --- Hermite–Obreshkov methods --- symplecticity --- B-splines --- BS methods --- hyperbolic partial differential equations --- high order discontinuous Galerkin finite element schemes --- shock waves and discontinuities --- vectorization and parallelization --- high performance computing --- generalized Schur algorithm --- null-space --- displacement rank --- structured matrices --- stochastic differential equations --- stochastic multistep methods --- stochastic Volterra integral equations --- mean-square stability --- asymptotic stability --- numerical analysis --- numerical methods --- scientific computing --- initial value problems --- one-step methods --- Hermite–Obreshkov methods --- symplecticity --- B-splines --- BS methods

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