2014
DOI: 10.1063/1.4887611
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Positivity preserving rational cubic Ball constrained interpolation

Abstract: Abstract.A smooth curve interpolation scheme for positive data is developed. Conditions have been incorporated into this scheme to preserve the shape of the data lying above a line. This scheme uses rational cubic Ball representation. Conditions are derived for preserving positivity and C 1 continuity. The outputs from a number of numerical experiments are presented.

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Cited by 3 publications
(1 citation statement)
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“…Two of the shape parameters were constrained to preserve the shape of the data, whereas the other two shape parameters have to be utilized to modify the shape of the curve to the user's liking. Tahat et al [5] constructed a 1 rational cubic Ball interpolant with four shape parameters to preserve the shape of positive and constrained data. Two of the shape parameters are constrained to preserve the shape of the data, whereas the remaining two parameters provide the user with a degree of freedom to adjust the shape of the generated curve.…”
Section: Introductionmentioning
confidence: 99%
“…Two of the shape parameters were constrained to preserve the shape of the data, whereas the other two shape parameters have to be utilized to modify the shape of the curve to the user's liking. Tahat et al [5] constructed a 1 rational cubic Ball interpolant with four shape parameters to preserve the shape of positive and constrained data. Two of the shape parameters are constrained to preserve the shape of the data, whereas the remaining two parameters provide the user with a degree of freedom to adjust the shape of the generated curve.…”
Section: Introductionmentioning
confidence: 99%