Abstract
It is now classical to define blossoms by means of intersections of osculating flats. We consider here the most general context of spline spaces with sections in arbitrary extended Chebyshev spaces and with connections defined by arbitrary lower triangular matrices with positive diagonal elements. We show how the existence of blossoms in such spaces automatically leads to optimal bases in the sense of Carnicer and Peña.
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Mazure, ML. Blossoms and Optimal Bases. Advances in Computational Mathematics 20, 177–203 (2004). https://doi.org/10.1023/A:1025855123163
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DOI: https://doi.org/10.1023/A:1025855123163