A simple and explicit expression is given for the inner product of (higher order) derivatives of multivariate box splines and their translates. We also show that the energy inner product related to a linear partial differential equation discretized with a set of shifted box splines can be interpreted as an evaluation of the differential operator applied to a higher order box spline.
Speleers, H. (2015). Inner products of box splines and their derivatives. BIT, 55(2), 559-567 [10.1007/s10543-014-0513-1].
Inner products of box splines and their derivatives
Speleers H.
2015-06-01
Abstract
A simple and explicit expression is given for the inner product of (higher order) derivatives of multivariate box splines and their translates. We also show that the energy inner product related to a linear partial differential equation discretized with a set of shifted box splines can be interpreted as an evaluation of the differential operator applied to a higher order box spline.File in questo prodotto:
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