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Shape Preserving C 3 Data Interpolation and C 3 Histopolation with Splines on Threefold Refined Grids
Author(s) -
Walter Hess,
Schmidt J. W.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960760902
Subject(s) - interpolation (computer graphics) , monotone polygon , mathematics , regular polygon , quartic function , combinatorics , position (finance) , pure mathematics , computer science , geometry , motion (physics) , finance , artificial intelligence , economics
This paper is concerned with the convex C 3 interpolation of univariate data sets. An algorithm based on the use of quartic splines on threefold refined girds is presented which is always successful for data sets in strictly convex position. These splines are suitable also for monotone as well as positive C 3 interpolation. Further, the derived algorithms apply to the monotone and positive C 2 histopolation with cubic splines on grids refined as before.