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Volume 22, Issue 1
Dual Bases for a New Family of Generalized Ball Bases

Hongyi Wu

J. Comp. Math., 22 (2004), pp. 79-88.

Published online: 2004-02

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  • 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.

  • Keywords

Bézier curve, New generalized Ball curve, Dual basis, Marsden identity.

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COPYRIGHT: © Global Science Press

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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.

Wu , Hongyi. (2004). Dual Bases for a New Family of Generalized Ball Bases. Journal of Computational Mathematics. 22 (1). 79-88. doi:
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