  We present a method for designing smooth cross fields on surfaces that
automatically align to sharp features of an underlying geometry. Our approach
introduces a novel class of energies based on a representation of cross fields
in the spherical harmonic basis. We provide theoretical analysis of these
energies in the smooth setting, showing that they penalize deviations from
surface creases while otherwise promoting intrinsically smooth fields. We
demonstrate the applicability of our method to quad-meshing and include an
extensive benchmark comparing our fields to other automatic approaches for
generating feature-aligned cross fields on triangle meshes.
