Learning sparse representations to restore, classify, and sense images and videos Guillermo Sapiro University of Minnesota Supported by NSF, NGA, NIH, ONR, DARPA, ARO, McKnight Foundation Supported by NSF, NGA, NIH, ONR, DARPA, ARO, McKnight Foundation
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Learning sparse representations to restore, classify, and sense images and videos Guillermo Sapiro University of Minnesota Supported by NSF, NGA, NIH,
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Learning sparse representations to restore, classify, and sense images and videos
Guillermo Sapiro
University of Minnesota
Supported by NSF, NGA, NIH, ONR, DARPA, ARO, McKnight FoundationSupported by NSF, NGA, NIH, ONR, DARPA, ARO, McKnight Foundation
Column-by-Column by SVD computation over the relevant
examples
Aharon, Elad, & Bruckstein (`04)
XT
Learning Sparsity 11
Show me the pictures
Learning Sparsity 12
Change the Metric in the OMP
Learning Sparsity 13
Non-uniform noise
Learning Sparsity 14
Example: Non-uniform noise
Learning Sparsity 15
Example: Inpainting
Learning Sparsity 16
Example: Demoisaic
Learning Sparsity 17
Example: Inpainting
Learning Sparsity 18
Not enough fun yet?:
Multiscale Dictionaries
Learning Sparsity 19
Learned multiscale dictionary
Learning Sparsity 20
Learning Sparsity 21
Color multiscale dictionaries
Learning Sparsity 22
Example
Learning Sparsity 23
Video inpainting
Extending the Models
Learning Sparsity 24
Universal Coding and Incoherent Dictionaries
• Consistent• Improved generalization properties• Improved active set computation• Improved coding speed• Improved reconstruction• See poster by Ramirez and Lecumberry…
Learning Sparsity 25
Sparsity + Self-similarity=Group Sparsity
• Combine the two of the most successful models for images