In case you missed the big news, AMD has posted a new Catalyst release packed with new features—and one of the additions is Virtual Super Resolution, a technology that's very much like Nvidia's Dynamic Super Resolution.
Cue shameless self-quotation:
Like DSR, VSR renders games above the display's native resolution and then downscales them to fit. The effect is something akin to full-scene antialiasing, and at least in the case of DSR, it can pay real dividends in terms of image quality. The downside is, obviously, a high performance cost.
VSR currently works only on Radeon R9 285 and R9 290 series graphics cards, and it supports the modes outlined in the matrix below. The feature can be enabled by ticking a checkbox in the Catalyst Control Center (under the My Digital Flat Panels section). Users can then select higher resolutions via in-game menus. Unlike with DSR, though, there's no way to dictate which scaling modes are exposed to games, and there's no slider to change the smoothness of the downscaling filter.
Nvidia's DSR works on plenty of older GPUs, including the GeForce GTX 400, 500, and 600 series. Considering DSR also exposes smoothness and scaling multiplier controls, I'd say the Nvidia technology still has a leg up for the time being.
AMD says it plans to add support for Radeon R-series cards from the R7 260 up, but only in a "phase 2" driver due in January or February 2015. The company says adding support for those lower-end cards requires it to "explore a new implementation vs. what's in Omega," which will "take additional time"—hence the delay.