s-power series: an alternative to Poisson expansions for representing analytic functions

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

• Type: Journal
• Year: 2005
• Where: CAGD
• Authors: Javier Sánchez-Reyes, Jesús Miguel Chacón
• Keywords: CAGD 2005, Computer Aided Geometric Design, Poisson Series, S-power Series