Dual Bases for a New Family of Generalized Ball Bases

Dual Bases for a New Family of Generalized Ball Bases

Year:    2004

Author:    Hongyi Wu

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 79–88

Abstract

This paper presents the dual bases for a new family of generalized Ball curves with a position parameter $K$, which includes the Bézier curve, generalized Said-Ball curve and some intermediate curves. Using the dual bases, the relative Marsden identity, conversion formulas of bases and control points of various curves are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-10336

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 79–88

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Bézier curve New generalized Ball curve Dual basis Marsden identity.

Author Details

Hongyi Wu