'The similarities between Odelle's and Smith’s artistic depictions of women [...]'
OR
'The similarities between Odelle and Smith’s artistic depictions of women [...]'
The point in question regards the apostrophes. One claim is that the first one on Odelle isn't necessary. It seems like this would be true only if Odelle and Smith were collaborating on their art. However, the intended meaning of the sentence is that both subjects, although similar, each have unique treatment of women in their art. The word that throws me off is depictions. Because this word is plural perhaps the first claim is true? This way Odelle and Smith could still have unique depictions but share the compound subject possession. Really scratching my head over this one...