Advanced Imaging


Advanced Imaging Magazine

Updated: July 8th, 2008 05:26 PM CDT

Blur Removal from Full-Sky Images of the Universe

Recovering Missing or Abducted Children
Software Aid for Noninvasive Brain Surgery
Breathing New Life into Ancient History with Panoramic Images
Capture and Reconstruction of Stereoscopic Images
Converting Imaging Radiometers to Focal Plane Arrays
Automated Ballistics Matching Automated Inspection of Brake Drum Assemblies

Blur Removal from Full-Sky Images of the Universe

The left side of the WMAP image featured on this issue's cover, in false color representation and unprocessed. The result of the blind deconvolution of the image using SeDDaRA. Despite its complicated form, the blur function has been removed from the image. A significantly higher resolution appears.

Quarktet - Silver Spring, MD
(Nominated by James N. Caron, President, Quarktet )


NASA's Wilkinson Microwave Anisotropy Probe measures temperature fluctuations in Big Bang-produced radiation. Analysis of the fluctuations produces a more accurate history of the universe. To increase resolution in the full-sky image, the blur function of the instrument can be identified and removed. The probe takes six months' worth of exposures, a point at a time, as it spins. This produces a wildly complicated blur that is extremely difficult to model and impossible to measure.


With careful considerations, a blind deconvolution (BD) algorithm can be employed to estimate the blur function and subsequently improve the image. BD estimates the blur function when neither a measured nor modeled blur function is available. Most BD methods are computationally intensive or operate under limited conditions. Quarktet applied the newly-discovered Self-Deconvolving Data Reconstruction Algorithm (SeDDaRA) to the WMAP image with great success. SeDDaRA is unique when compared to current BD algorithms, in that it is non-iterative, producing a result much faster than other methods. It is also not constrained to optical images, allowing application to medical, one-dimensional and space-based applications. The key is to find a reasonable representation of the spatial frequency content of the desired result. Quarktet compared the WMAP image to a collection of fractal images to estimate the blur function and used a pseudo-inverse filter to remove the blur from the image. As shown in these images, both the resolution and contrast are greatly enhanced. The technique has also been applied to personal photography, space-based optical imagery, medical X-rays, ultrasonic waveforms and recorded sound.

Top right: A small Region of the WMAP image displayed a false color representation. Bottom: The same region processed using the SeDDaRA technique.


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