Gaussian filter

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(Gaussian filter using OTB)
(Gaussian filter using OTB)
 
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* Under the Parameters tab, select a single band or a multiband file as '''Input Image'''.
 
* Under the Parameters tab, select a single band or a multiband file as '''Input Image'''.
 
* Select '''gaussian''' from the drop-down list as '''Smoothing Type'''.
 
* Select '''gaussian''' from the drop-down list as '''Smoothing Type'''.
* Adjust the '''Radius''' to {{typed|text=10}} of a circular element in pixel size.
+
* Adjust the '''Standard deviation''' to {{typed|text=10}}.
* Select '''Output pixel type''' {{button|text=uint8}}.
+
* Maximum kernel width is '''128'''.
 +
* Select '''Output pixel type''' {{button|text=float}}.
 
* Click {{button|text=Run}}.
 
* Click {{button|text=Run}}.
  

Latest revision as of 18:59, 14 June 2021

The Gaussian smoothing filter is used for noise reduction and removing details. The filter is similar to the arithmetic mean filter but it uses a different kernel that represents the shape of a 2 dimensional Gaussian distribution which is defined as \(G_{2D}(x,y,\sigma)=\frac{1}{\sqrt{2 \pi \sigma^2}}e^{-\frac{x^2+y^2}{2\sigma^2}}\) where \(\sigma\) determines the width of the kernel.

[edit] Gaussian filter using OTB

  • In the search engine of the Processing Toolbox, type Smoothing and select Smoothing under Image Filtering of the Orfeo Toolbox.
  • Under the Parameters tab, select a single band or a multiband file as Input Image.
  • Select gaussian from the drop-down list as Smoothing Type.
  • Adjust the Standard deviation to 10.
  • Maximum kernel width is 128.
  • Select Output pixel type float.
  • Click Run.

Qgis gaussian smooth.png

[edit] Gaussian filter using SAGA

  • In the search engine of the Processing Toolbox, type Gaussian and select Gaussian filter under Raster Filter of SAGA.
  • Under the Parameters tab, select a single band file as Grid.
  • Select Circle from the drop-down list as Search Mode.
  • Choose 1 as Standard deviation
  • Use the 3 pixels as Radius.

Qgis saga gaussian.png

Figure A: Input image: Sentinel-2 composite (RGB=B7,B6,B5), University Göttingen Campus North
Figure B: Output image: Gaussian filtered Sentinel-2 composite (RGB=B7,B6,B5), University Göttingen Campus North
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