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GeodesicClosing[image,ker]

gives the geodesic closing of image with respect to the structuring element ker.

GeodesicClosing[image,r]

gives the geodesic closing with respect to a range r square.

GeodesicClosing[data,…]

applies geodesic closing to an array of data.

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Applications  
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GeodesicClosing

GeodesicClosing[image,ker]

gives the geodesic closing of image with respect to the structuring element ker.

GeodesicClosing[image,r]

gives the geodesic closing with respect to a range r square.

GeodesicClosing[data,…]

applies geodesic closing to an array of data.

Details

Examples

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Basic Examples  (2)

Remove small, dark regions from a binary image:

Wolfram Language code: GeodesicClosing[[image], (⁠| | | | | - | - | - | | 1 | 1 | 1 | | 1 | 1 | 1 | | 1 | 1 | 1 |⁠)]

Use geodesic closing to remove small, dark features of the image:

Wolfram Language code: GeodesicClosing[[image], 7]

Scope  (5)

Data  (3)

GeodesicClosing of a 1D binary array:

Wolfram Language code: GeodesicClosing[{1, 1, 1, 0, 1, 0, 0, 0, 1, 1}, 1]

GeodesicClosing of a 2D binary array:

Wolfram Language code: GeodesicClosing[(⁠| | | | | | | - | - | - | - | - | | 1 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 |⁠), 1]//MatrixForm

Remove small, dark features by geodesic closing:

Wolfram Language code: GeodesicClosing[[image], 3]

Parameters  (2)

GeodesicClosing of a 2D binary array using a 2x2 kernel:

Wolfram Language code: GeodesicClosing[(⁠| | | | | | | - | - | - | - | - | | 1 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 1 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 |⁠), (⁠| | | | - | - | | 1 | 1 | | 1 | 1 |⁠)]//MatrixForm

Use a 3x3 kernel to remove pepper noise:

Wolfram Language code: GeodesicClosing[[image], 1]

Applications  (5)

Reconstruction by top-hat transform:

Wolfram Language code: img = [image]; ImageSubtract[GeodesicClosing[img, 4], img]

Smooth a noisy image:

Wolfram Language code: GeodesicClosing[GeodesicOpening[[image], 1], 1]

Remove salt-and-pepper noise:

Wolfram Language code: GeodesicOpening[GeodesicClosing[[image], 1], 1]

Remove salt-and-pepper noise from a 3D image:

Wolfram Language code: i = [image];
Wolfram Language code: GeodesicOpening[GeodesicClosing[i, 1], 1]

Extract characters with long vertical strokes in a text image:

Wolfram Language code: GeodesicClosing[[image], ConstantArray[1, {25, 1}]]
Wolfram Research (2012), GeodesicClosing, Wolfram Language function, https://reference.wolfram.com/language/ref/GeodesicClosing.html.

Text

Wolfram Research (2012), GeodesicClosing, Wolfram Language function, https://reference.wolfram.com/language/ref/GeodesicClosing.html.

CMS

Wolfram Language. 2012. "GeodesicClosing." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeodesicClosing.html.

APA

Wolfram Language. (2012). GeodesicClosing. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeodesicClosing.html

BibTeX

@misc{reference.wolfram_2026_geodesicclosing, author="Wolfram Research", title="{GeodesicClosing}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/GeodesicClosing.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_geodesicclosing, organization={Wolfram Research}, title={GeodesicClosing}, year={2012}, url={https://reference.wolfram.com/language/ref/GeodesicClosing.html}, note=[Accessed: 12-June-2026]}