Normal view MARC view ISBD view

Approximation and modeling with B-splines

By: Hollig, Klaus.
Contributor(s): Horner, Jorg [Co-author].
Material type: materialTypeLabelBookPublisher: Philadelphia Society for industrial and applied mathematics 2013Description: xi, 214 p.ISBN: 9781611972948.Subject(s): Mathematical models | Numerical analysis | Spline theoryDDC classification: 511.4223 Summary: B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this book provides a unified introduction to the basic components of B-spline theory: approximation methods, modeling techniques and geometric algorithms. Topics discussed include the Bezier form; approximation and interpolation; error estimates; spline representations of curves, surfaces and solids; hierarchical bases; and finite element simulation. This book is ideal as an advanced undergraduate or first-year graduate text for courses on splines or approximation and geometric modeling for students in mathematics, engineering and computer science. A supplementary web site provides a collection of problems with selected solutions, slides for use in lectures, and programs with demos. This book also represents a valuable resource for practitioners whose work involves B-splines in the context of numerical simulations, computer-aided design, or visualization. http://www.cambridge.org/nu/academic/subjects/mathematics/numerical-analysis/approximation-and-modeling-b-splines?format=PB&isbn=9781611972948#aLA7QP54vwKTl2Fa.97
List(s) this item appears in: Prof. A. K. Laha
Tags from this library: No tags from this library for this title. Add tag(s)
Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Collection Call number Status Date due Barcode
Books Books Vikram Sarabhai Library
General Stacks
Non Fiction 511.4223 H6A7 (Browse shelf) Not for Issue 194397

Table of Contents:



1. Polynomials
2. Bézier curves
3. Rational Bézier curves
4. B-splines
5. Approximation
6. Spline curves
7. Multivariate splines
8. Surfaces and solids
9. Finite elements

B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this book provides a unified introduction to the basic components of B-spline theory: approximation methods, modeling techniques and geometric algorithms. Topics discussed include the Bezier form; approximation and interpolation; error estimates; spline representations of curves, surfaces and solids; hierarchical bases; and finite element simulation. This book is ideal as an advanced undergraduate or first-year graduate text for courses on splines or approximation and geometric modeling for students in mathematics, engineering and computer science. A supplementary web site provides a collection of problems with selected solutions, slides for use in lectures, and programs with demos. This book also represents a valuable resource for practitioners whose work involves B-splines in the context of numerical simulations, computer-aided design, or visualization.


http://www.cambridge.org/nu/academic/subjects/mathematics/numerical-analysis/approximation-and-modeling-b-splines?format=PB&isbn=9781611972948#aLA7QP54vwKTl2Fa.97

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha