An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline

@article{McAllister1981AnAF,
title={An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline},
author={David F. McAllister and John A. Roulier},
journal={ACM Trans. Math. Softw.},
year={1981},
volume={7},
pages={331-347}
}

An algorithm is presented for calculating an osculatory quadratm sphne that preserves the monotonmlty and convexity of the data when consmtent with the given derivatives at the data points A method is also presented for calculatmn of an mterpolatory quadratm sphne with monotonicity and convexity consistent with that of the data Included is a discussion of pathologms that can occur when these algorithms are maplemented. Examples are given that illustrate the dependence of the method on only… CONTINUE READING