文章基本信息

标题：Shape Properties of Irregular Surface Data
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作者：MARIA HUSSAIN
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2012
卷号：8
期号：4
页码：801-820
DOI：10.1234/pjsor.v8i4.287
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：The presented work of this paper addresses the two shape properties, positivity and monotonicity of irregular surface data. The data is initially triangulated and a side-vertex scheme is adopted to interpolate the data over each triangle. Each boundary and radial curve is a rational function with three parameters facilitating 18 parameters in each triangular patch. The presence of these parameters leads to an automotive scheme for shape preservation and shape control. The data dependent constraints are derived on 6 of these parameters for preservation of positive and monotone properties of data , while, remaining 12 are free for shape modification. This scheme is local, does not constrain step length and derivatives, equally applicable to both data and data with derivatives.
关键词：Rational cubic function, Triangular patch, Shape parameters, Positivity, Monotonicity