  Three-dimensional dust density maps are crucial for understanding the
structure of the interstellar medium of the Milky Way and the processes that
shape it. However, constructing these maps requires large datasets and the
methods used to analyse them are computationally expensive and difficult to
scale up. As a result it is has only recently become possible to map
kiloparsec-scale regions of our Galaxy at parsec-scale grid sampling. We
present all-sky three-dimensional dust density and extinction maps of the Milky
Way out to 2.8~kpc in distance from the Sun using the fast and scalable
Gaussian Process algorithm \DustT. The sampling of the three-dimensional map is
$l,b,d = 1^{\circ} \times1^{\circ} \times 1.7$~pc. The input extinction and
distance catalogue contains 120 million stars with photometry and astrometry
from Gaia DR2, 2MASS and AllWISE. This combines the strengths of optical and
infrared data to probe deeper into the dusty regions of the Milky Way. We
compare our maps with other published 3D dust maps. All maps quantitatively
agree at the $0.001$~mag~pc$^{-1}$ scale with many qualitatively similar
features, although each map also has its own features. We recover Galactic
features previously identified in the literature. Moreover, we also see a large
under-density that may correspond to an inter-arm or -spur gap towards the
Galactic Centre.
