POSITIVE QUARTIC, MONOTONE QUINTIC C-2-SPLINE INTERPOLATION IN ONE AND 2 DIMENSIONS
[摘要] This paper is concerned with shape-preserving interpolation of discrete data by polynomial splines. We show that positivity can be always preserved by quartic C-2-splines and monotonicity by quintic C-2-splines. This is proved for one-dimensional interpolation as well as for two-dimensional interpolation on rectangular grids.
[发布日期] 1994-10-31 [发布机构]
[效力级别] [学科分类]
[关键词] QUARTIC C-2-SPLINES;QUINTIC C-2-SPLINES;SUFFICIENT POSITIVITY AND MONOTONICITY CONDITIONS;EXISTENCE OF SHAPE-PRESERVING SPLINES;ONE-DIMENSIONAL AND 2-DIMENSIONAL INTERPOLATION [时效性]
