TY - JOUR
T1 - Dual Bases for a New Family of Generalized Ball Bases
AU - Wu , Hongyi
JO - Journal of Computational Mathematics
VL - 1
SP - 79
EP - 88
PY - 2004
DA - 2004/02
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10336.html
KW - Bézier curve, New generalized Ball curve, Dual basis, Marsden identity.
AB - <p style="text-align: justify;">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.</p>