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Low-Pass Noise Removal
Stacking images is the best way to reduce noise in an image. However,
images of faint objects, which must be significantly enhanced, can often still
be noisy in the dimmer areas of the image. A perfect example of this is
the image below of the very faint nebula Sharpless 2-170 in Cassiopeia.
Imaged from a suburban location through a hydrogen-alpha filter, this picture
shows more detail than the Palomar Sky Survey image taken through the 48"
Schmidt telescope! But there is some noise visible in the faint outer
areas of the nebula because the image was contrast stretched to enhance the
faint details.

Above: Nebula Sh2-170 imaged through a 4" refractor. Notice the
noise in the outer regions of the nebula.
A low-pass filter reduces noise. However, it also blurs the image.
Running a standard low-pass filter such as a Gaussian blur on this image
eliminates the noise but reduces the sharpness of the image and reduces the
amount of visible detail.

Above: A Gaussian blur smooths out the noise but reduces the detail and
sharpness in the image.
A better method is to blur only the noisy part of the image. Since
noise tends to appear in the faint areas of the image, it is possible to select
only these parts of the picture and then apply the low-pass filter to that
selection. Photoshop has the best features for this application, so it
will be used to demonstrate the technique. Other program may have similar
capabilities.
Begin by choosing Select > Color Range from the main menu. The Color
Range selector allows you to select portions of the image based on the
brightness of that area. Use the eyedropper tool to select a
medium-brightness portion of the image. Then drag the Fuzziness slider up
until the preview window shows most (but not all) of the nebula selected.
You will notice that the stars have also been selected. Click the Invert
checkbox. This will select everything in the image except the bright
nebulosity and stars -- in other words, only the noisy parts should be selected.

Above: The Color Range window after selecting the non-noisy parts of
the image and then inverting the selection to choose the noisy areas.

Above: The image now shows the selected regions.
Note: Remember that by running the Fuzziness slider up so high, parts
of the image are selected but Photoshop cannot display that selection. The
actual selection will always be larger than what is shown if the Fuzziness
slider is raised.
Running the Gaussian blur filter now smoothes only the selected portions of
the image, which should be the noisy parts. The other areas, such as
bright nebulosity and stars, are unaffected.

Above: Final result after blurring selected regions of the image.
Next, Filters for Removing Artifacts....

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