  We prove that every proper connective DG-algebra $A$ admits a geometric
realization (as defined by Orlov) by a smooth projective scheme with a full
exceptional collection. As a corollary we obtain that $A$ is quasi-isomorphic
to a finite dimensional DG-algebra and in the smooth case we compute the
noncommutative Chow motive of $A$. We go on to analyse the relationship between
smoothness and regularity in more detail as well as commenting on smoothness of
the degree zero cohomology for smooth proper connective DG-algebras.
