"Rules: Logic and Applications" 2nd Workshop, Dec, 2019
Aesthetic Morphisms
Jocelyn Ireson-Paine
www.jocelyns-cartoons.uk/rules2019/
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Morphisms That Equalise Boundaries

In order to convey the illusion of a coherent image, Ernst concealed the edges and intersections of the various cut-out images.
— From "Beyond Painting", in Max Ernst: a Retrospective, page 47.

Certainly it's hard to discern the edges of the disparate objects included into Above the Clouds Midnight Passes:

This suggests an "artistic technique" morphism: mapping from an image and a boundary specification to an image in which the boundaries have been "equalised" to hide joins.

Ernst can't have been the only artist who used this technique. Here are two collages from Terry Gilliam's Animations of Mortality:

It's interesting to note Gilliam's remarks on making collages:
LESSON No 1
CREATING NOTHING OUT OF SOMETHINGS
The 'secret' of creating interesting scenes is to use objects in surprising ways, in new or odd combinations, or simply by altering the relative scale of the objects. Here we see several totally unrelated pictures. By taking the bits of each one that catch our fancy we can assemble a fantastic scene and avoid having to employ an expensive 'live' artist to paint something comparable.

And regarding the importance of invisible joins:
'Shooting' artwork made up of bits of paintings and photographs is a tricky business. Shadows are the enemy. Once they appear . . . 'BANG', the illusion is shattered and the artwork is revealed for what it is — lots of separate pieces of paper. Well sir, the public aren't going to pay to see separate pieces of paper. In the end the Board of Directors decided that we had to keep those little buggers flat no matter what the cost. So, while Mr Swinburne of Accounts was recovering in hospital, we set to work and built this baby — the Pression d'Art, Mark 1. Who says Animation isn't 'dead butch'?