s-power series: an alternative to Poisson expansions for representing analytic functions
نویسندگان
چکیده
Morin and Goldman [Computer Aided Geometric Design 17 (2000) 813] have recently presented a remarkable new framework, based on employing Poisson series, for describing analytic functions in CAD. We compare this Poisson formulation with s-power series, modified Newton series that can be regarded as the two-point analogue of Taylor expansions. Such s-power series yield, over finite intervals, better approximations for CAD purposes, as they are polynomial and hence expressible in the Bernstein–Bézier standard, can be pieced together in a smooth Hermitian spline and, in general, display better convergence. 2004 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 22 شماره
صفحات -
تاریخ انتشار 2005