We present the conformality method for studying the dimension of Tchebycheffian spline spaces over T-meshes. This is a Tchebycheffian extension of the smoothing cofactor-conformality method elaborated in the literature for polynomial spline spaces. We apply this method to obtain a dimension formula which is equivalent to the one recently obtained by the so-called homological approach.
Manni, C., Speleers, H. (2018). Dimension of Tchebycheffian spline spaces over planar T-meshes: The conformality method. RENDICONTI DEL SEMINARIO MATEMATICO, 76(2), 135-145.
Dimension of Tchebycheffian spline spaces over planar T-meshes: The conformality method
Manni C.;Speleers H.
2018-01-01
Abstract
We present the conformality method for studying the dimension of Tchebycheffian spline spaces over T-meshes. This is a Tchebycheffian extension of the smoothing cofactor-conformality method elaborated in the literature for polynomial spline spaces. We apply this method to obtain a dimension formula which is equivalent to the one recently obtained by the so-called homological approach.File in questo prodotto:
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