EPH curves: construction and evaluation

Staff - Faculty of Informatics

Date: 12 October 2022 / 14:30 - 16:00

USI Campus EST, room D0.02, Sector D

Speaker: Alberto Viscardi, University of Torino, Italy

Abstract: PH curves are parametric polynomial curves for which the norm of the first derivative is still a polynomial. Introduced by Farouki and Sakkalis in 1990, they found several applications in manufacturing, numerical control machines and robotics. Here we consider their exponential counterparts, based on exponential polynomials, in order to expand the design options for this class of curves. The construction of EPH curves revolves on quaternions with exponential polynomial coefficients, while their evaluation presents some numerical issues which are addressed by the new algorithm proposed.

Biography: Alberto Viscardi obtained his bachelor and master degrees in Mathematics at the University of Milano and a PhD degree at the University of Milano-Bicocca in consortium with the University of Pavia in 2018. He spent three years as a post-doc at the University of Bologna and is now a research fellow at the University of Torino. He mainly works in the intersection between numerical analysis, approximation theory and the design of curves and surfaces.

Host: Prof. Kai Hormann