Piecewise Rational Quadratic Interpolation to Monotonic Data |
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Authors: | GREGORY, J. A. DELBOURGO, R. |
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Affiliation: | Department of Mathematics, Brunel University Uxbridge Department of Engineering, Science and Mathematics, Middlesex Polytechnic London |
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Abstract: | An explicit representation of a piecewise rational quadraticfunction is developed which produces a monotonic interpolantto given monotonic data. The explicit representation means thatthe piecewise monotonic interpolant is easily constructed andnumerical experiments indicate that the method produces visuallypleasing curves. Furthermore, the use of the method is justifiedby a convergence analysis. |
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