  We present implicit displacement fields, a novel representation for detailed
3D geometry. Inspired by a classic surface deformation technique, displacement
mapping, our method represents a complex surface as a smooth base surface plus
a displacement along the base's normal directions, resulting in a
frequency-based shape decomposition, where the high frequency signal is
constrained geometrically by the low frequency signal. Importantly, this
disentanglement is unsupervised thanks to a tailored architectural design that
has an innate frequency hierarchy by construction. We explore implicit
displacement field surface reconstruction and detail transfer and demonstrate
superior representational power, training stability and generalizability.
