A Univariate Rational Quadratic Trigonometric Interpolating Spline to Visualize Shaped Data

被引：0
|
作者：
Bashir, Uzma [1 ]
Ali, Jamaludin MD. [2 ]
机构：
[1] Lahore Coll Women Univ, Lahore, Pakistan
[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Pulau Pinang, Malaysia
来源：
SAINS MALAYSIANA | 2016年 / 45卷 / 10期
关键词：
Continuity; interpolation; rational trigonometric spline; shape preserving; CURVE;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This study was concerned with shape preserving interpolation of 2D data. A piecewise C-1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were presented to sustain the respective shape features of data. Each scheme was tested for plentiful shaped data sets to substantiate the assertion made in their construction. Moreover, these schemes were compared with conventional shape preserving rational quadratic splines to demonstrate the usefulness of their construction.
引用
收藏
页码：1557 / 1563
页数：7
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