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|a 9783319086354
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|a SAGA - Advances in ShApes, Geometry, and Algebra
|h [electronic resource] :
|b Results from the Marie Curie Initial Training Network /
|c edited by Tor Dokken, Georg Muntingh.
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|a 1st ed. 2014.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2014.
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|a XIII, 323 p. 95 illus., 70 illus. in color.
|b online resource.
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|a text
|b txt
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|a Geometry and Computing,
|x 1866-6809 ;
|v 10
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|a 1 Introduction to ShApes, Geometry, and Algebra: Tor Dokken and Georg Muntingh -- Part I Change of Representation: 2 Numerical methods for implicitisation and their applications: Oliver J. D. Barrowclough -- 3 Sparse implicitization via interpolation: Ioannis Z. Emiris, Tatjana Kalinka, and Christos Konaxis -- 4 The intersection problems of parametric curves and surfaces by means of matrix-based implicit representations: Thang Luu Ba -- Part II Geometric Computing - Algebraic Tools: 5 Singular Zeros of Polynomial Systems: Angelos Mantzaflaris and Bernard Mourrain -- 6 Plane mixed discriminants and toric jacobians: Alicia Dickenstein, Ioannis Z. Emiris and Anna Karasoulou -- 7 Topology of the intersection of two parameterized surfaces, using computations in 4D space: Stéphane Chau and André Galligo -- 8 Rational Bézier Formulas with Quaternion and Clifford Algebra Weights: Rimvydas Krasauskas and Severinas Zubé -- Part III Algebraic Geometry for CAD Applications: 9 Algebraic spline geometry - some remarks: Ragni Piene -- 10 On the dimension of spline spaces on triangulations: Nelly Villamizar and Bernard Mourrain -- 11 Polynomial Interpolation Problems in Projective Spaces and Products of Projective Lines: Elisa Postinghel -- 12 Rational parametrizations of edge and corner blends for isogeometric analysis: Heidi E. I. Dahl -- Part IV Practical Industrial Problems: 13 Bisectors and Vorono¨ı diagram of a family of parallel half-lines: I. Adamou, M. Fioravanti, L. Gonzalez-Vega, and B. Mourrain -- 14 Generating an approximate trivariate spline representation for contractible domains: Thien T. Nguyen -- 15 Isogeometric analysis of Navier-Stokes flow using locally refinable B-splines: Peter Nørtoft and Tor Dokken.
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|a This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms. Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing; algebraic geometry for computer aided design applications and problems with industrial applications. Readers will encounter new methods for the (approximate) transition between the implicit and parametric representation; new algebraic tools for geometric computing; new applications of isogeometric analysis, and will gain insight into the emerging research field situated between algebraic geometry and computer aided geometric design.
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|a Geometry.
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|a Algebra.
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|a Computer science-Mathematics.
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|a Computer-aided engineering.
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|a Mathematical models.
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|a Geometry.
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|a Algebra.
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|a Mathematics of Computing.
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|a Computer-Aided Engineering (CAD, CAE) and Design.
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|a Mathematical Modeling and Industrial Mathematics.
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|a Dokken, Tor.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a Muntingh, Georg.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319086347
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|z 9783319086361
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|i Printed edition:
|z 9783319355887
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|a Geometry and Computing,
|x 1866-6809 ;
|v 10
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|u https://doi.uam.elogim.com/10.1007/978-3-319-08635-4
|z Texto Completo
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|a ZDB-2-SMA
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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