Shape preserving rational cubic spline for positive and convex data
نویسندگان
چکیده
منابع مشابه
Local Convexity-Preserving C2 Rational Cubic Spline for Convex Data
We present the smooth and visually pleasant display of 2D data when it is convex, which is contribution towards the improvements over existing methods. This improvement can be used to get the more accurate results. An attempt has been made in order to develop the local convexity-preserving interpolant for convex data using C(2) rational cubic spline. It involves three families of shape paramete...
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Abstract: This study proposes new C rational cubic spline interpolant of the form cubic/quadratic with three shape parameters to preserves the geometric properties of the given data sets. Sufficient conditions for the positivity and data constrained modeling of the rational interpolant are derived on one parameter while the remaining two parameters can further be utilized to change and modify t...
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A smooth surface interpolation scheme for positive and convex data has been developed. This scheme has been extended from the rational quadratic spline function of Sarfraz [11] to a rational bi-quadratic spline function. Simple data dependent constraints are derived on the free parameters in the description of rational bi-quadratic spline function to preserve the shape of 3D positive and convex...
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ژورنال
عنوان ژورنال: Egyptian Informatics Journal
سال: 2011
ISSN: 1110-8665
DOI: 10.1016/j.eij.2011.10.002