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Title: Compatable smooth interpolation in triangles
Authors: Barnhill, RE
Gregory, JA
Publication Date: 1973
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). Sep 1973, pp 1-17.
Abstract: Boolean sum smooth interpolation to boundary data on a triangle is described. Sufficient conditions are given so that the functions when pieced together form a CN-1(Ω) function over a triangular subdivision of a polygonal region Ω and the precision sets of the interpolation functions are derived. The interpolants are modified so that the compatability conditions on the function which is interpolated can be removed and a C1 interpolant is used to illustrate the theory. The generation of interpolation schemes for discrete boundary data is also discussed.
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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