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Matrix configurations define noncommutative spaces endowed with extrastructure including a generalized Laplace operator, and hence a metricstructure. Made dynamical via matrix models, they describe rich physicalsystems including noncommutative gauge theory and emergent gravity. Refiningthe construction in [1], we construct a semi-classical limit through animmersed submanifold of complex projective space based on quasi-coherentstates. We observe the phenomenon of oxidation, where the resultingsemi-classical space acquires spurious extra dimensions. We propose to removethis artifact by passing to a leaf of a carefully chosen foliation, whichallows to extract the geometrical content of the noncommutative spaces. This isdemonstrated numerically via multiple examples.

Oxidation, Reduction and Semi-Classical Limit for Quantum Matrix Geometries