  We consider the decoupling theory of a broad class of $C^5$ surfaces
$\mathbb{M} \subset \mathbb{R}^3$ lacking planar points. In particular, our
approach also applies to surfaces which are not graphed by mixed homogeneous
polynomials. The study of $\mathbb{M}$ furnishes opportunity to recast
iterative linear decoupling in a more general form. Here, Taylor-based analysis
is combined with efforts to build a library of canonical surfaces
(non-cylindrical in general) by which $\mathbb{M}$ may be approximated for
decoupling purposes. The work presented may be generalized to the consideration
of other surfaces not addressed.
