  We present a study of the three-dimensional (3D) distribution of interstellar
dust derived from stellar extinction observations toward the Taurus molecular
cloud (MC) and its relation with the neutral atomic hydrogen (HI) emission at
21 cm wavelength and the carbon monoxide $^{12}$CO and $^{13}$CO emission in
the $J=1\rightarrow0$ transition. We used the histogram of oriented gradients
(HOG) method to match the morphology in a 3D reconstruction of the dust density
(3D dust) and the distribution of the gas tracers' emission. The result of the
HOG analysis is a map of the relationship between the distances and radial
velocities. The HOG comparison between the 3D dust and the HI emission
indicates a morphological match at the distance of Taurus but an
anti-correlation between the dust density and the HI emission, which uncovers a
significant amount of cold HI within the Taurus MC. The HOG between the 3D dust
and $^{12}$CO reveals a pattern in radial velocities and distances that is
consistent with converging motions of the gas in the Taurus MC, with the near
side of the cloud moving at higher velocities and the far side moving at lower
velocities. This convergence of flows is likely triggered by the large-scale
gas compression caused by the interaction of the Local Bubble and the Per-Tau
shell, with Taurus lying at the intersection of the two bubble surfaces.
