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Student Support for Research in Hierarchical Control and Trajectory Planning (en Inglés)
National Aeronautics and Space Administr
(Autor)
·
Clyde F. Martin
(Autor)
·
Biblioscholar
· Tapa Blanda
Student Support for Research in Hierarchical Control and Trajectory Planning (en Inglés) - National Aeronautics and Space Administr ; Martin, Clyde F.
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Reseña del libro "Student Support for Research in Hierarchical Control and Trajectory Planning (en Inglés)"
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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