brendt.wohlberg.net

Brendt Wohlberg, "Efficient Convolutional Sparse Coding", in *Proceedings of IEEE International Conference on
Acoustics, Speech, and Signal Processing (ICASSP)*, (Florence, Italy), doi:10.1109/ICASSP.2014.6854992, pp. 7173--7177, May 2014

When applying sparse representation techniques to images, the
standard approach is to independently compute the representations
for a set of overlapping image patches. This method performs very
well in a variety of applications, but the independent sparse coding
of each patch results in a representation that is not optimal for
the image as a whole. A recent development is *convolutional
sparse coding*, in which a sparse representation for an entire
image is computed by replacing the linear combination of a set of
dictionary vectors by the sum of a set of convolutions with
dictionary filters. A disadvantage of this formulation is its
computational expense, but the development of efficient algorithms
has received some attention in the literature, with the current
leading method exploiting a Fourier domain approach. The present
paper introduces a new way of solving the problem in the Fourier
domain, leading to substantially reduced computational cost.

@inproceedings{wohlberg-2014-efficient,

author = {Brendt Wohlberg},

title = {Efficient Convolutional Sparse Coding},

year = {2014},

month = May,

urlpdf = {http://brendt.wohlberg.net/publications/pdf/wohlberg-2014-efficient.pdf},

urlcode = {http://brendt.wohlberg.net/software/SPORCO/},

booktitle = {Proceedings of IEEE International Conference on
Acoustics, Speech, and Signal Processing (ICASSP)},

address = {Florence, Italy},

doi = {10.1109/ICASSP.2014.6854992},

pages = {7173--7177}

}