RESEARCH PAPERS: Offshore Mechanics

Approximation of B-Spline Geometries With Lower Degree Representations

[+] Author and Article Information
N. M. Patrikalakis, G. A. Kriezis

Department of Ocean Engineering, Design Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139

L. Bardis

Department of Naval Architecture and Marine Engineering, National Technical University of Athens, Athens, Greece

J. Offshore Mech. Arct. Eng 112(3), 192-198 (Aug 01, 1990) (7 pages) doi:10.1115/1.2919856 History: Received July 12, 1988; Revised April 28, 1989


Exchange of data between geometric modeling systems of different inherent capabilities frequently requires approximate conversion of high degree, piecewise, polynomial curves and surface patches to lower degree representations. The objective of this work is to provide reliable methods for the approximation of high-order B-spline curves and surface patches by low-order B-spline representations. Our method guarantees a prespecified accuracy at all isoparametric points of the curve and patch, a critical feature for accurate exchange of data.

Copyright © 1990 by The American Society of Mechanical Engineers
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