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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.

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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