Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10335836 | Computer Aided Geometric Design | 2005 | 17 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
J. Sánchez-Reyes, J.M. Chacón,