Not so much a remake of Vertigo as an echo of it, or maybe a memory. Even Vertigo, when you boil it down to its generic plot skeleton, is a detective mystery about a guy figuring out a complex murder plot, but this goes even further by running on pure emotion - Cliff Robertson's hero never solves anything, and spends virtually the entire movie in a transfixed, wet-eyed torpor. By the end, this emotion has blossomed into possibly the best protracted slow-motion climax of De Palma's career, and maybe (if you're paying attention) his most disturbing ending.
About that: I noticed here a motif that recurs a few times in the De Palmaverse, the repetition of a certain word or phrase to end the movie on a note of trauma - "there was no body because there was no murder" in Sisters, "Daddy" here, and "it's a good scream" in Blow Out. Any others?