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Constrained interpolation using rational Cubic Spline with linear denominators
Authors:Qi Duan  Gongxue Xu  Aikui Liu  Xuefu Wang  Fuhua Cheng
Affiliation:Qi Duan, Gongxue Xu, Aikui Liu, Xuefu Wang and Fuhua (Frank) Cheng
Abstract:In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.
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