Probably not. There are a number of image inpainting, texture synthesis, and reconstruction algorithms that can be applied, with different behaviors regarding noise, color correction, detail scale, handling of regularity/irregularity, temporal coherence, run time, etc.
GIMP's Resynthesizer is based on a 2005 PhD thesis, while the Photoshop thing is probably based on a 2009 SIGGRAPH paper.
