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StandardDeviationFilter[data,r]

filters data by replacing every value by the standard deviations of the values in its range-r neighborhood.

StandardDeviationFilter[data,{r1,r2,…}]

uses ri for filtering the ^(th)dimension in data.

Details
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Examples  
Basic Examples  
Scope  
Data  
Parameters  
Applications  
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StandardDeviationFilter

StandardDeviationFilter[data,r]

filters data by replacing every value by the standard deviations of the values in its range-r neighborhood.

StandardDeviationFilter[data,{r1,r2,…}]

uses ri for filtering the ^(th)dimension in data.

Details

Examples

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Basic Examples  (3)

Moving standard deviation of a list:

Filter a TimeSeries:

Apply standard deviation filtering to a color image:

Scope  (12)

Data  (7)

Standard deviation filtering of a numeric vector:

Standard deviation filtering of a 2D array:

Filtering of a list of Quantity objects:

Filter an Audio signal:

Filtering a 2D grayscale image:

Filter video frames:

Standard deviation filtering of a 3D image:

Parameters  (5)

Specify one radius to be used in all directions:

Increasing the radius will result in larger image streaks and patches:

Standard deviation filtering just in the first direction:

Standard deviation filtering just in the second direction:

Standard deviation filtering of a 3D image in the vertical direction only:

Filtering of a 3D image in the horizontal planes only:

Applications  (2)

Find busy regions in a satellite image:

Use a standard deviation filter to find edges:

Wolfram Research (2008), StandardDeviationFilter, Wolfram Language function, https://reference.wolfram.com/language/ref/StandardDeviationFilter.html (updated 2025).

Text

Wolfram Research (2008), StandardDeviationFilter, Wolfram Language function, https://reference.wolfram.com/language/ref/StandardDeviationFilter.html (updated 2025).

CMS

Wolfram Language. 2008. "StandardDeviationFilter." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/StandardDeviationFilter.html.

APA

Wolfram Language. (2008). StandardDeviationFilter. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/StandardDeviationFilter.html

BibTeX

@misc{reference.wolfram_2025_standarddeviationfilter, author="Wolfram Research", title="{StandardDeviationFilter}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/StandardDeviationFilter.html}", note=[Accessed: 16-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_standarddeviationfilter, organization={Wolfram Research}, title={StandardDeviationFilter}, year={2025}, url={https://reference.wolfram.com/language/ref/StandardDeviationFilter.html}, note=[Accessed: 16-August-2025]}