Interpolation by Cl splines of degree q≥4 on triangulations

[摘要] Let Delta be an arbitrary regular triangulation of a simply connected compact polygonal domain Omega subset of R-2 and let S-q(l)(Delta) denote the space of bivariate polynomial splines of degree a and smoothness 1 with respect to d. We develop an algorithm for constructing point sets admissible for Lagrange interpolation by S-q(l)(Delta) if q greater than or equal to4. In the case q = 4 it may be necessary to slightly modify Delta, but only if exceptional constellations of triangles occur. Hermite interpolation schemes are obtained as limits of the Lagrange interpolation sets. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: 41A15; 41A63.

[发布日期] 2000-12-30

[关键词] bivariate splines;interpolation