Alberto Viscardi - EPH curves: construction and evaluation
07 October 2022 - 07 October 2022
East Campus USI-SUPSI, Lugano
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.

The speaker

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.