Efficient Algorithms for Convolutional Sparse Representations
Journal Article
·
· IEEE Transactions on Image Processing
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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 results in a representation that is multi-valued and not optimized with respect to the entire image. Additionally, an alternative representation structure is provided by a convolutional sparse representation, in which a sparse representation of 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. The resulting representation is both single-valued and jointly optimized over the entire image. While this form of a sparse representation has been applied to a variety of problems in signal and image processing and computer vision, the computational expense of the corresponding optimization problems has restricted application to relatively small signals and images. Here, this paper presents new, efficient algorithms that substantially improve on the performance of other recent methods, contributing to the development of this type of representation as a practical tool for a wider range of problems.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE; Laboratory Directed Research and Development (LDRD)
- Grant/Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1471324
- Report Number(s):
- LA-UR--14-28830
- Journal Information:
- IEEE Transactions on Image Processing, Journal Name: IEEE Transactions on Image Processing Journal Issue: 1 Vol. 25; ISSN 1057-7149
- Publisher:
- IEEECopyright Statement
- Country of Publication:
- United States
- Language:
- English
Similar Records
Convolutional Dictionary Regularizers for Tomographic Inversion
Efficient convolutional sparse coding
Classification of multispectral or hyperspectral satellite imagery using clustering of sparse approximations on sparse representations in learned dictionaries obtained using efficient convolutional sparse coding
Conference
·
Wed May 01 00:00:00 EDT 2019
·
OSTI ID:1511929
Efficient convolutional sparse coding
Patent
·
Tue Jun 20 00:00:00 EDT 2017
·
OSTI ID:1364429
Classification of multispectral or hyperspectral satellite imagery using clustering of sparse approximations on sparse representations in learned dictionaries obtained using efficient convolutional sparse coding
Patent
·
Mon Jan 01 23:00:00 EST 2018
·
OSTI ID:1415441