Can a spell detect the invisible?

The critical misunderstanding happening often is, that moving or destroying an image of a thing just involves affecting the species it emits. This is not the case.

Note that (HoH:S p.61)

Iconic species are carried in light

and Imaginem does not affect light: this is the domain of Ignem.

EDIT: See also here.

As Imaginem affects images, the resulting handling of species is sometimes tricky - and shadows are beyond its power.

Such an Invisibility spell is easy to invent but would fail its purpose: no need to publish it. Just destroying the species it emits leaves a featureless shadow standing around: anything but invisible. Destroying a visual image involves moving iconic species around the object made invisible.

Quite. So again ReIm - moving images - does not just move your iconic species away: it moves others in.