Maximum Entropy - Astronomy

 
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The images below illustrate Mira's MaxEnt software applied to an image of an astronomical object. The original image was acquired using a relatively small telescope through normally turbulent atmosphere, giving it inherently low spatial resolution. The MaxEnt processed image is compared with a high resolution image taken under excellent conditions by a large telescope at one of the world's premier observatories.

-- image courtesy Dr. William McLaughlin.

Inherently fuzzy image

Original Image: Nebula NGC 40

The image has a Point Spread Function of 3 pixels FWHM (Full Width at Half Maximum), or about 2 arc seconds. This image has good S/N, making it a prime candidate for good results with Maximum Entropy Deconvolution. Note: The central star cannot be sharpened because it is saturated.

Mira MaxEnt deconvolved fuzzy image

Mira MaxEnt Processed Image

This image was processed using Mira's optional MaxEnt module. One may question whether the Maximum Entropy method really  increases image detail or simply boosts contrast. How much of the improved detail is real? Compare this processed image with the high-resolution image below. Looking closely, you will see that details in the de-convolved image are confirmed by the high-resolution image, some of which cannot be seen in the original image.

Inherently high res image

High Resolution Image

NGC 40 comparison image obtained by the 3.5m WIYN Consortium telescope under sub arcsecond seeing at the Kitt Peak National Observatory in Arizona. This image has 3 to 4 times the spatial resolution of our original image at top. Image details revealed by MaxEnt Deconvolution are confirmed by this high-res image.

Comparison animation

Comparison

This animation shows all 3 images from above. The image processed with the Mira MaxEnt  module reveals most of the detail shown by the true high-resolution image. As mentioned above, the central star was saturated in the image, so it could not be sharpened by MaxEnt processing.