1. A method for performing super-resolution processing of a low resolution input data structure (S 0 ) of digital 1D, 2D or 3D data, comprising steps of detecting (F 1 ) one or more regions in the low resolution input data structure where aliasing is likely to occur, and generating a de-noising mask (M) that indicates the detected one or more regions in the low resolution input data structure; splitting ( 170 , 180 ) the input data structure (S 0 ) into a low-frequency input data structure (L 0 ) and a high-frequency input data structure (H 0 ) comple-mentary to the low-frequency input data structure (L 0 ), wherein a first low-pass filter (F I,0 ) is used; upscaling ( 120 ) the input data structure (S 0 ) and filtering ( 130 ) the upscaled input data structure by a second low-pass filter (F I,1 ), wherein a low-frequency upscaled data structure (L 1,n ) is obtained; locally de-noising (F 2 ) one or more regions in the low-frequency upscaled data structure (L 1,n ) according to the de-noising mask (M), wherein a locally de-noised low-frequency upscaled data structure (L 1 ) is obtained; generating ( 150 , 190 ) a normalized high-frequency upscaled data structure (H 1,n ) by extrapolating the high-frequency input data structure (H 0 ), wherein correspondences between the locally de-noised low-frequency upscaled data structure (L 1 ) and the low-frequency input data structure (L 0 ) are used, and wherein cross-scale block matching ( 150 ) and normalization ( 190 ) are performed; locally de-noising (F 3 ) the normalized high-frequency upscaled data structure (H 1,n ) in a local regularization step, whereby the local de-noising is performed in said one or more regions according to the de-noising mask (M), and whereby a locally de-noised normalized high-frequency upscaled data structure (H 1,uf ) is obtained; high-pass filtering ( 195 ) the normalized high-frequency upscaled data structure (H 1,uf ), whereby a high-pass filtered normalized high-frequency upscaled data structure (H 1 ) is obtained; and adding the high-pass filtered normalized high-frequency upscaled data structure (H 1 ) to the low-frequency upscaled data structure (L 1 ), whereby a super-resolved data structure (S 1 ) is obtained.