Print Email Facebook Twitter Constructing Cartesian Splines Title Constructing Cartesian Splines Author Van Erp, H.R.N. Linger, R.O. Van Gelder, P.H.A.J.M. Faculty Civil Engineering and Geosciences Department Hydraulic Engineering Date 2011-12-31 Abstract We introduce here Cartesian splines or, for short, C-splines. C-splines are piecewise polynomials which are defined on adjacent Cartesian coordinate systems and are Cr continuous throughout. The Cr continuity is enforced by constraining the coefficients of the polynomial to lie in the null-space of some smoothness matrix H . The matrix-product of the null-space of the smoothness matrix H and the original polynomial base results in a new base, the so-called Cspline base, which automatically enforces Cr continuity throughout. In this article we give a derivation of this C-spline base as well as an algorithm to construct C-spline models. Subject splinescartesian,regression analysisexplicit base To reference this document use: http://resolver.tudelft.nl/uuid:f4d188c7-768d-4c9e-a07a-e696f07336ff Publisher Bentham Open ISSN 1876-3898 Source The Open Numerical Methods Journal, 3, 2011 Part of collection Institutional Repository Document type journal article Rights (c) 2011 The Author(s) Licensee Bentham Open, CC Creative Commons Attribution Non-Commercial License 3.0 Files PDF 275360.pdf 2.25 MB Close viewer /islandora/object/uuid:f4d188c7-768d-4c9e-a07a-e696f07336ff/datastream/OBJ/view