Geometry and Interpolation of Curves and Surfaces - Couverture rigide

McLeod, Robin J. Y.; Baart, M. Louisa

 
9780521321532: Geometry and Interpolation of Curves and Surfaces
Couverture rigide
ISBN 10 : 0521321530 ISBN 13 : 9780521321532
Editeur : Cambridge University Press, 1998

Synopsis

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective co-ordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter they apply the basic theory to the construction of finite element basis functions and surface interpolants over non-regular shapes.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective co-ordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter they apply the basic theory to the construction of finite element basis functions and surface interpolants over non-regular shapes.

Revue de presse

Review of the hardback: 'The authors have displayed considerable erudition and ability in dealing with a difficult topic. Their practical, step-by-step approach to algebraic curves and surface interpolation is very commendable in view of the complexity of the subject.' J. A. Prescott, Robotica

Review of the hardback: 'This looks like a delightful way to introduce students to the subject.' The Mathematical Association of America

Review of the hardback: '... an elegant and serious introduction to the basic concepts and results of (elementary) algebraic geometry.' European Maths Society Journal

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1998
Langue
anglais
ISBN 10 
0521321530
ISBN 13 
9780521321532
Reliure
Relié
Nombre de pages
430
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

Via Honduras,15
Pomezia
Italia
71
Italie

Autres éditions populaires du même titre

9780521159395: Geometry and Interpolation of Curves and Surfaces

Edition présentée

ISBN 10 :  0521159393 ISBN 13 :  9780521159395
Editeur : Cambridge University Press, 2011
Couverture souple