In literature (particularly fiction), there will often be examples of supplementary adjectives and absolute constructions in which a participle isn't present. My question boils down to how we analyse such passages. My instinct tells me that the present participle 'being' has been omitted; however, it has been difficult to find sufficient evidence that supports my assumption.
These are some examples I have invented:
His face [being] bloody, he entered the room.
[Being] Bloody and sore, he entered the room.
For real-life literary examples, please see the following two extracts (from Red Seas under Red Skies and a Dishonored novel):
... shouted Locke, [being] unable to disguise his mirth, ....
Her body, [being] lithe and athletic, ....