BEZIER REPRESENTATION OF ANALYTICAL FUNCTIONS Conference Paper

abstract

• This paper provides a methodology to optimally approximate analytical functions with non-rational and rational Bezier curves. The great flexibility of Bezier curves is here highlighted by direct comparison with Pade rational approximation of analytical functions and other methods where appropriate. Current results show a non-questionable superiority of Bezier rational approximation with respect to Pade representations. There are several potential applications of the proposed theory (e.g., in optimal control) which will follow in subsequent papers. In general, wherever Pade approximation is adopted to approximate analytical functions, it can be substituted by Bezier representations.

authors

• Ibrahim, Amir
• Mortari, Daniele

published proceedings

• SPACEFLIGHT MECHANICS 2009, VOL 134, PTS I-III

author list (cited authors)

• Henderson, T. A., Ibrahim, A., & Mortari, D.

complete list of authors

• Henderson, Troy A||Ibrahim, Ashraf||Mortari, Daniele

publication date

• December 2009

published in

• Spaceflight Mechanics 2005, Vol 120, Pts 1 and 2  Journal

International Standard Book Number (ISBN) 13

• 978-0-87703-554-1

start page

• 621

end page

• +

volume

• 134