Pyramid wavefront sensors are planned to be included on large earthbound telescopes currently under development. These rely on real-time adaptive optics systems to compensate for atmospheric perturbations. Using our mathematical analysis of the pyramid sensor model, we present several algorithms for a high-quality and high-speed wavefront correction including gradient-based methods and approaches based on the inversion of the Finite Hilbert transform, and we take into account data disconnectivity induced by telescope spider legs.

This presentation is part of Minisymposium “MS9 - Innovative models and algorithms for astronomical imaging (2 parts)”
organized by: Silvia Tozza (INdAM/Dept. Mathematics, University of Rome “La Sapienza”) , Marco Castellano (INAF Osservatorio Astronomico di Roma) , Maurizio Falcone (Dipartimento di Matematica, Università di Roma "La Sapienza") , Adriano Fontana (INAF Osservatorio Astronomico di Roma) .

Authors:

Victoria Hutterer (Industrial Mathematics Institute Johannes Kepler University, Linz)

Keywords:

adaptive optics, image reconstruction, inverse problems, wavefront reconstruction