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Student Support for Research in Hierarchical Control and Trajectory Planning
Paperback
Technology & EngineeringGeneral EducationGeneral Mathematics
ISBN13: 9781288916054
Publisher: Biblioscholar
Published: Mar 13 2013
Pages: 78
Weight: 0.27
Height: 0.16 Width: 6.14 Depth: 9.21
Language: English
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.
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