On the refinement matrix mask of interpolating Hermite splines

We propose a new computational approach for constructing the refinement matrix mask of interpolating Hermite splines of any order and with general dilation factor. Our strategy exploits the refinability properties of cardinal B-splines with simple knots and simplifies the constructive procedures pro...

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Bibliographic Details
Published in:Applied mathematics letters 2020-11, Vol.109, p.106524, Article 106524
Main Authors: Romani, Lucia, Viscardi, Alberto
Format: Article
Language:English
Subjects:
Arbitrary dilation factor
Cardinal B-splines
Cardinal Hermite spline interpolation
Refinement matrix mask
Vector subdivision
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Summary:We propose a new computational approach for constructing the refinement matrix mask of interpolating Hermite splines of any order and with general dilation factor. Our strategy exploits the refinability properties of cardinal B-splines with simple knots and simplifies the constructive procedures proposed so far.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106524