Title :
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
Author :
Lane, Jeffrey M. ; Riesenfeld, Richard F.
Author_Institution :
Boeing Commercial Airplane Company, Seattle, WA 98124.
Abstract :
Two algorithms for parametric piecewise polynomial evaluation and generation are described. The mathematical development of these algorithms is shown to generalize to new algorithms for obtaining curve and surface intersections and for the computer display of parametric curves and surfaces.
Keywords :
Algorithm design and analysis; Computer aided manufacturing; Computer displays; Computer graphics; Manufacturing automation; Physics computing; Polynomials; Spline; Technical drawing; Virtual manufacturing; B-splines; computer graphics; computer-aided geometric design; subdivision;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.1980.4766968