An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline

✍ Scribed by McAllister, David F.; Roulier, John A.

• Book ID: 120807932
• Publisher: Association for Computing Machinery
• Year: 1981
• Tongue: English
• Weight: 600 KB
• Volume: 7
• Category: Article
• ISSN: 0098-3500
• DOI: 10.1145/355958.355964

✦ Synopsis

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 local informatmn and its usefulness m geometrm design.