Ok. We are going to be using Synced Smart Objects. Not to be mistaken for Linked Smart Objects.
Let me first explain how the SSO works.
As it might relate to this particular project, Once I have the office image open, on a new layer I create a rectangle with the Rectangle Tool (Not the Rectangular Marquee Tool) that is the same size as the mural image. In this case it's original Mountain scene that was 1024px x 346px at 72ppi.
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It doesn't really matter where the rectangle is or what color it is. Be sure stroke is deactivated.
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Name the rectangle layer. In this case I called it "Mural".
Right click in the body of the layer and choose, "Convert to smart object".
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With the SO layer highlighted/selected, use Cmd/Cntrl + J to duplicate the SO layer 5 times.
Deactivate all duped layers except the main one.
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For this part of the demo, mouse over the thumbnail of the "Mural" SO layer and double click.
This opens a separate PSB document.
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While holding the shift key, now drag and drop the Mountain scene image onto the PSB document. Hit enter or OK.
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Now hit Cmd/Cntrl + S to save the state change of the PSB document.
Now go back to your original Mural document and see what happens to all of the synced smart objects!
Notice that they have all updated to the Mountain scene!
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OK, here's the really cool part.
Let's use free transform to fit the rectangle to the wall.
Lower the layers opacity so you can see through it.
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Use Cmd/Cntrl + T to enter free transform, right click and select "distort"
Click and drag the corner nodes to their proper position.
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Hit enter or OK to accept the state change.
Return the opacity to 100%.
Note, that while you did need to work out perspective of the transform box, the image inside was transformed by the SO.
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Note only that SSO layer was affected by the free transform. All the other SSo's are waiting their turn to be transformed.
Note: You always want to be left with an original version of the SSO rectangle. So as you use them, add more if needed by duplicating.
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This part explains how the SSO's work. The next part is almost identical to Rich's technique. Will cover that when I get the chance.