  We say that a CR singular submanifold $M$ has a removable CR singularity if
the CR structure at the CR points of $M$ extends through the singularity as an
abstract CR structure on $M$. We study such real-analytic submanifolds, in
which case removability is equivalent to $M$ being the image of a generic
real-analytic submanifold $N$ under a holomorphic map that is a diffeomorphism
of $N$ onto $M$, what we call a CR image. We study the stability of the CR
singularity under perturbation, the associated quadratic invariants, and
conditions for removability of a CR singularity. A lemma is also proved about
perturbing away the zeros of holomorphic functions on CR submanifolds, which
could be of independent interest.
