Homological techniques for the analysis of the dimension of triangular spline spaces

Authors:
Bernard Mourrain;Nelly Villamizar
Affiliations:
GALAAD, INRIA Sophia-Antipolis Méditerranée, France;Centre of Mathematics for Applications, University of Oslo, Norway
Venue:
Journal of Symbolic Computation
Year:
2013

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Abstract

The spline space C"k^r(@D) attached to a subdivided domain @D of R^d is the vector space of functions of class C^r which are polynomials of degree ==4r+1, and the same method we use in this proof yields the dimension straightaway for many other cases.