SAGA - Advances in ShApes, Geometry, and Algebra Results from the Marie Curie Initial Training Network /

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 t...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Dokken, Tor (Editor ), Muntingh, Georg (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Geometry and Computing, 10
Temas:
Geometry.
Algebra.
Computer science-Mathematics.
Computer-aided engineering.
Mathematical models.
Mathematics of Computing.
Computer-Aided Engineering (CAD, CAE) and Design.
Mathematical Modeling and Industrial Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

Ejemplares similares