  The calculation of quark propagators for Ginsparg-Wilson-type Dirac operators
is costly and thus limited to a few different sources. We present a new
approach for determining spatially optimized operators for lattice spectroscopy
of excited hadrons. Jacobi smeared quark sources with different widths are
combined to construct hadron operators with different spatial wave functions.
We study the Roper state and excited rho and pion mesons.
