Single-Image Super-Resolution Using Panchromatic Gradient Prior and Variational Model

Algorithm 1

Algorithm 1A variational approach for single-image SR.

(i)	Input:
	The LR image ;
	Magnification factor.
	Output:
	The SR image .
	Initialization:
	Compute an initial SR image via bicubic
	interpolation;
	Calculate the target gradient via equation (7).
	For:
	For:
	1. For each extracted image patch , search
	for a set of similar patches across the whole
	image by patch matching.
	2. Decompose the grouped patches into low-rank
	and sparse components.
	(a) Calculate the sparse matrix via (13);
	(b) Calculate the low-rank matrix via (15).
	3. Reconstruct the SR image .
	(a) Update the image via (25);
	(b) Update the intermediate variable and via (18) and (22);
	(c) Update the Lagrange multiplier and via (19) and (23);
	(d)  =  ;
	End;
	End;
	=