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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2018

Constructing totally positive piecewise Chebyshevian B-spline bases

Marie-Laurence Mazure
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Résumé

We consider piecewise Chebyshevian splines, in the sense of splines with pieces taken from any different five-dimensional Extended Chebyshev spaces, and with connection matrices at the knots. In this large context we establish necessary and sufficient conditions for the existence of totally positive refinable B-spline bases. These conditions are applied in many important special cases, e.g., symmetric cardinal geometrically continuous quartic B-spline, parametrically continuous mixed L-splines. The great variety of the illustrations provided proves the richness of this class of splines and its interest for design.
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Dates et versions

hal-01587487 , version 1 (14-09-2017)

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Citer

Marie-Laurence Mazure. Constructing totally positive piecewise Chebyshevian B-spline bases. Journal of Computational and Applied Mathematics, 2018, 342, pp.550-586. ⟨10.1016/j.cam.2018.03.032⟩. ⟨hal-01587487⟩
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