Friday, October 14, 2011

Imaging With Nature, additional thoughts on deblurring

When re-reading Imaging With Nature: Some thoughts on deblurring, the condition in item [1] reminded me of a similar type of condition used to prove recoverability for sparse solutions of underdetermined systems, i.e the KGG condition found by Yin Zhang [2]. Maybe it's just a coincidence. Also, while TILT can be used to calibrate a camera, one wonders how the same technique of using the low rank texture in objects would fare in instances of lucky imaging or turbulence stabilization [4] or in the much more difficult case of a random lens imager calibration. What about dealing with the dust on Cassini's camera

[1] Image deconvolution using a characterization of sharp images in wavelet domain by Hui Ji , Jia Li, Zuowei Shen, Kang Wang.[3] TILT: Transform Invariant Low-rank Textures, by Zhengdong Zhang, Arvind Ganesh, Xiao Liang, and Yi Ma.
[4] Non Rigid Geometric Distortions Correction Application to Atmospheric Turbulence Stabilization by Yu Mao and Jerome Gilles.

Image Credit: NASA/JPL/Space Science Institute,  N00177177.jpg was taken on October 10, 2011 and received on Earth October 10, 2011. The camera was pointing toward PROMETHEUS, and the image was taken using the CL1 and CL2 filters. This image has not been validated or calibrated. A validated/calibrated image will be archived with the NASA Planetary Data System in 2012.

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