We introduce a novel definition of (cardinal) B-spline in higher dimensions using a Clifford analytic setting and present some properties of these Clifford-valued B-splines. We also discuss issues related to orthogonality in a certain Clifford module.

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Clifford-Valued B-Splines

  • Jeffrey Hogan,
  • Peter Massopust

摘要

We introduce a novel definition of (cardinal) B-spline in higher dimensions using a Clifford analytic setting and present some properties of these Clifford-valued B-splines. We also discuss issues related to orthogonality in a certain Clifford module.