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The dual basis functions for the generalized Ball basis of odd degree. (English) Zbl 0896.65019

Summary: An explicit formula for the dual basis functions to the generalized Ball basis of odd degree is derived by applying an extension of Marsden’s identity. These dual functionals are then used to derive both a change of basis formula from the Bézier basis to the generalized Ball basis and a subdivision formula for the generalized Ball curves.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)

Software:

CONSURF
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Full Text: DOI

References:

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