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- Title
Shape Properties of Irregular Surface Data.
- Authors
Hussain, Maria; Hussain, Malik Zawwar; Butt, Iram
- Abstract
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.
- Subjects
MONOTONIC functions; GEOMETRIC shapes; SURFACE dynamics; BOUNDARY element methods; INTERPOLATION
- Publication
Pakistan Journal of Statistics & Operation Research, 2012, Vol 8, Issue 4, p801
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v8i4.287