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About: Box spline     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Whole100003553, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: softwareyago:WikicatSplinesyago:Artifact100021939yago:BuildingMaterial114786479yago:Lumber114943580yago:Object100002684yago:PhysicalEntity100001930yago:Spline104282379yago:Strip104339638yago:Whole100003553 New Facet based on Instances of this Class

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box splines are considered as a multivariate generalization of basis splines (B-splines) and are generally used for multivariate approximation/interpolation. Geometrically, a box spline is the shadow (X-ray) of a hypercube projected down to a lower-dimensional space. Box splines and simplex splines are well studied special cases of polyhedral splines which are defined as shadows of general polytopes.