  We present high-resolution (<0.65") optical broad-band images of the edge-on
Sb galaxy NGC 891 obtained with the WIYN 3.5-m telescope. These BVR images
reveal a complex network of hundreds of dust absorbing structures far from the
mid-plane of the galaxy. The dust structures have a wide range of morphologies
and are clearly visible to |z|<1.5 kpc from the mid-plane. In this paper we
discuss the general characteristics of the population of absorbing structures,
as well as physical properties of 12 individual features. These 12 structures
are characterised by N_H >10^21 cm^-2, with masses estimated to be more than
2x10^5 - 5x10^6 solar masses, assuming Galactic gas-to-dust relationships. The
gravitational potential energies of the individual dust structures, given their
observed heights and derived masses, lie in the range of 20-200x10^51 ergs.
Rough number counts of extraplanar dust features suggest the mass of high-z gas
associated with extraplanar dust in NGC 891 likely exceeds 2x10^8 solar masses,
or ~2% of the total neutral ISM mass of the galaxy.
  We discuss several mechanisms which may produce high-z dust structures such
as those seen in the images presented here. It is not yet known which of these
mechanisms are primarily responsible for the extensive extraplanar dust
structures seen in our images. The data presented are part of a larger program
to search for and characterize off-plane dust structures in edge-on systems.
(Abstract Abridged)
