  We examine the picture of emergent geometry arising from a mass-deformed
matrix model. Because of the mass-deformation, a vacuum geometry turns out to
be a constant curvature spacetime such as d-dimensional sphere and (anti-)de
Sitter spaces. We show that the mass-deformed matrix model giving rise to the
constant curvature spacetime can be derived from the d-dimensional Snyder
algebra. The emergent geometry beautifully confirms all the rationale inferred
from the algebraic point of view that the d-dimensional Snyder algebra is
equivalent to the Lorentz algebra in (d+1)-dimensional {\it flat} spacetime.
For example, a vacuum geometry of the mass-deformed matrix model is completely
described by a G-invariant metric of coset manifolds G/H defined by the Snyder
algebra. We also discuss a nonlinear deformation of the Snyder algebra.
