Before revision:  Here, we propose a deterministic method for high-resolution reconstruction given a very low resolution initial guess, that requires a predictable and relatively modest amount of computational effort  .
After revision:  Here, we propose a deterministic method for high-resolution reconstruction given a very low resolution initial guess, that requires a predictable and relatively modest amount of computational effort , by marching out radially in the Fourier domain from low to high frequency, increasing the resolution by a fixed increment at each step .