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04/12/10 SIAM Imaging Science 2010 1 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of Sciences of the Czech Republic Prague Filip Šroubek, Jan Flusser, and Michal Š
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04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

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Page 1: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 1

Superresolution and Blind Deconvolution

of Images and Video

Institute of Information Theory and AutomationAcademy of Sciences of the Czech RepublicPrague

Filip Šroubek, Jan Flusser, and Michal Šorel

Page 2: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 2

Traffic surveillance Can we read license plates?

Page 3: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 3

Empirical observation

• One image is not enough– ill-posed problem

• Solution– strong prior knowledge of blurs and/or the

original imageOR– more images– techniques how to combine them

Page 4: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 4

Outline

• Mathematical model

• Algorithm

• Examples

• Extension to the space-variant case

Page 5: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 5

original image

u(x) + nk(x)

+

noise

acquired images

= zk(x)

Multichannel Acquisition Model

channel K

channel 2

channel 1

D[u * hk](x)

Page 6: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 6

Multichannel Deconvolution

Super-resolution

Page 7: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 7

Misregistration

Page 8: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 8

Misregistration

• Incorporating between-image shift

original image PSF degraded image

Page 9: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 9

Superresolution & Blind Deconv.

• Acquisition model

• Optimization problem

Dataterm

Imageregularization

term

BlurRegularization

term

Page 10: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 10

Regularization Terms

Page 11: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 11

0

u

h2*u uh1 *= =z1 z2

z1 h2* *u h1= h2* z2*h1h2 u* =h1 *

PSF Regularization

Page 12: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 12

• Alternating minimizations of F(u,{hk})

• Input: blurred LR images and

estimation of PSF size

• Output: HR image and PSFs

• Blind deconvolution in the SR framework

AM Algorithm

Page 13: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 13

Blind Deconvolution

Page 14: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 14

Page 15: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 15Superresolved image (2x)

Optical zoom (ground truth)

rough registration

Superresolution

Page 16: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 16

Space-variant Case

Page 17: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 17

Space-variant Case

• Video with local motion

• Space-variant PSFs and/or misregistered images

Page 18: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

interpolatedSR

Page 19: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

interpolatedSR

t t+1 t+2t-2 t-1

Page 20: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

interpolatedSR

SR + masking

t t+1 t+2t-2 t-1

Page 21: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 21

Out-of-focus Blur

Page 22: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 22

Camera-motion Blur

Page 23: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 23

Space-variant Superresolution

Page 24: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 24

Page 25: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 25

Close-up

Input LR

Space-variantReconstruction

Original

Space-invariantReconstruction

Page 26: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 26

Misregistered Images

Page 27: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 27

Misregistered Images - Results

Space-variant Space-invariant

Page 28: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 28

MATLAB Application

zoi.utia.cas.cz/download

Page 29: 04/12/10SIAM Imaging Science 20101 Superresolution and Blind Deconvolution of Images and Video Institute of Information Theory and Automation Academy of.

04/12/10 SIAM Imaging Science 2010 29

Thank You for

Your Attention