Approximation research @ NALAG

The research group has strong roots in rational (Padé) approximation and spline approximation for curve and surface fitting. Later on, the focus shifted to the construction and analysis of splines and wavelets with applications in image and signal processing, CAGD and surface representation. In particular Powell-Sabin splines are investigated and applied in simulation and geometric design. These two aspects are unified in the so-called isogeometric analysis.

The recurrence relations for orthogonal polynomials and orthogonal rational functions are closely related to recurrences that exist in algorithms for structured matrices and with relations that appear in Krylov type methods.

Applications here include model reduction, signal processing, moment problems and numerical quadrature.