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Dual Bases for a New Family of Generalized Ball Bases
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@Article{JCM-22-79,
author = {Wu , Hongyi},
title = {Dual Bases for a New Family of Generalized Ball Bases},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {1},
pages = {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.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10336.html} }
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 -
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.
Hongyi Wu. (1970). Dual Bases for a New Family of Generalized Ball Bases.
Journal of Computational Mathematics. 22 (1).
79-88.
doi:
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