caa a22 4500 477094767 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19961101xx s 000 0 eng 10.1007/BF03322193 doi (NATIONALLICENCE)springer-10.1007/BF03322193 Network Splines [Elektronische Daten] [L. Bos, D. Holland] A multivariate interpolant to scattered data is developed by generalizing (weighted) bivariate network splines to an n-dimensional setting. A graph joining the data points serves to define a set of edges over which an interpolating curve network is constructed subject to smoothness and minimal energy constraints. A subsequent extension of the curve network to the convex hull of the data points defines a smooth interpolating surface. The problems of existence and uniqueness are investigated and some examples of interpolants to rapidly varying data in ℝ3 and ℝ4 are presented. Birkhäuser Verlag, Basel, 1996 Network Splines nationallicence Minimum Norm Networks nationallicence Multivariate Interpolation nationallicence Weighted Splines nationallicence Bos L. Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Canada aut Holland D. Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Canada aut Results in Mathematics Birkhäuser-Verlag 30/3-4(1996-11-01), 228-258 0378-6218 30:3-4<228 1996 30 25 https://doi.org/10.1007/BF03322193 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322193 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bos L. Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Canada aut NATIONALLICENCE 700 1- Holland D. Department of Mathematics and Statistics, University of Calgary, T2N 1N4, Calgary, Canada aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 30/3-4(1996-11-01), 228-258 0378-6218 30:3-4<228 1996 30 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer