Image super-resolution from interpolated edges in the Riesz-wavelet domain
In a recent work, we have demonstrated that one can obtain accurate image reconstruction from Riesz-wavelet coefficients located on edges. This shows that these coefficients contain the essential information of the natural images and the biomedical images that we have tested. The goal of this project is to use this finding to build super-resolutive images. We propose to extrapolate edges at finer wavelet scales using the Riesz-wavelet coefficients located at edges in the coarser bands. This would involve defining a method for edges extrapolation at different scales that uses the Riesz-wavelet coefficients from upper scales, and reconstructing the images with custom optimization tools.