May 18, 2010 · We show that many spaces of multivariate splines possess additional smoothness (supersmoothness) at certain faces where polynomial pieces ...

This phenomenon affects the dimension and interpolating properties of splines spaces. The supersmoothness is caused by the geometry of the underlying partition.

This phenomenon affects the dimension and interpolating properties of splines spaces. The supersmoothness is caused by the geometry of the underlying partition.

Supersmoothness officially enters multivariate splines. T. Sorokina, Intrinsic supersmoothness of multivariate splines,. Numerische Mathematik, 116, 2010 ...

We show that many spaces of multivariate splines possess additional smoothness (supersmoothness) at certain faces where polynomial pieces join together.

Intrinsic supersmoothness of multivariate splines. by Tatyana Sorokina. 2010, Numerische Mathematik. See Full PDF

approximation theory: given some information I(f ) about a function f from a certain class, build a spline s(f ) which is sufficiently close to f in a.

Intrinsic supersmoothness of multivariate splines. A multivariate spline is a piecewise polynomial in several variables defined on some simplicial partition ...

Aug 26, 2020 · In this paper, we characterize supersmoothness in terms of the degeneracy of spaces of polynomial splines over the cell of simplices sharing the vertex.

Intrinsic supersmoothness is a phenomenon of non-prescribed and sometimes unexpected additional smoothness at certain faces that is not reflected in the ...