Student Support for Research in Hierarchical Control and Trajectory Planning - Softcover

Martin, Clyde F

Softcover

ISBN 10: 1288916051 ISBN 13: 9781288916054

Publisher: BiblioBazaar, LLC, 2013

Synopsis

Generally, classical polynomial splines tend to exhibit unwanted undulations. In this work, we discuss a technique, based on control principles, for eliminating these undulations and increasing the smoothness properties of the spline interpolants. We give a generalization of the classical polynomial splines and show that this generalization is, in fact, a family of splines that covers the broad spectrum of polynomial, trigonometric and exponential splines. A particular element in this family is determined by the appropriate control data. It is shown that this technique is easy to implement. Several numerical and curve-fitting examples are given to illustrate the advantages of this technique over the classical approach. Finally, we discuss the convergence properties of the interpolant.

Edition details

• Publisher: BiblioBazaar, LLC
• Publication date: 2013
• Language: English
• ISBN 10: 1288916051
• ISBN 13: 9781288916054
• Binding: Paperback
• Number of pages: 78