C Rational Cubic/Linear Trigonometric Interpolation Spline with Positivity-preserving Property
نویسندگان
چکیده
A class of C rational cubic/linear trigonometric interpolation spline with two local parameters is proposed. Simple sufficient conditions for constructing positivity-preserving interpolation curves are developed. By using the boolean sum of quadratic trigonometric interpolating operators to blend together the proposed rational cubic/linear trigonometric interpolation splines as four boundary functions, a kind of C blending rational cubic/linear interpolation surface with four families of local parameters is constructed. Simple sufficient data dependent conditions are also deduced for generating C positivity-preserving interpolation surfaces on rectangular grids.
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