Super-resolution via Transform-Invariant Group-Sparse Regularization

Carlos Fernandez-Granda, Emmanuel J. Candès; The IEEE International Conference on Computer Vision (ICCV), 2013, pp. 3336-3343


We present a framework to super-resolve planar regions found in urban scenes and other man-made environments by taking into account their 3D geometry. Such regions have highly structured straight edges, but this prior is challenging to exploit due to deformations induced by the projection onto the imaging plane. Our method factors out such deformations by using recently developed tools based on convex optimization to learn a transform that maps the image to a domain where its gradient has a simple group-sparse structure. This allows to obtain a novel convex regularizer that enforces global consistency constraints between the edges of the image. Computational experiments with real images show that this data-driven approach to the design of regularizers promoting transform-invariant group sparsity is very effective at high super-resolution factors. We view our approach as complementary to most recent superresolution methods, which tend to focus on hallucinating high-frequency textures.

Related Material

author = {Fernandez-Granda, Carlos and Candès, Emmanuel J.},
title = {Super-resolution via Transform-Invariant Group-Sparse Regularization},
booktitle = {The IEEE International Conference on Computer Vision (ICCV)},
month = {December},
year = {2013}