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GeodesicOpening[image,ker]

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

GeodesicOpening[image,r]

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

GeodesicOpening[data,…]

applies geodesic opening to an array of data.

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Scope  
Data  
Parameters  
Applications  
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GeodesicOpening

GeodesicOpening[image,ker]

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

GeodesicOpening[image,r]

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

GeodesicOpening[data,…]

applies geodesic opening to an array of data.

Details

Examples

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Basic Examples  (2)

Remove small, bright features by geodesic opening:

Wolfram Language code: GeodesicOpening[[image], 10]

Use geodesic opening to remove small components of a binary image:

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

Scope  (5)

Data  (3)

GeodesicOpening of a 1D binary array:

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

GeodesicOpening of a 2D binary array:

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

Remove salt noise from a 3D image:

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

Parameters  (2)

Remove small regions of ones with a 2x2 kernel:

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

Remove small, bright regions from a binary image using a 3x3 kernel:

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

Applications  (2)

Remove the dust from a microscopic image:

Wolfram Language code: GeodesicOpening[[image], 5]

Extract characters with long vertical strokes in a text image:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_geodesicopening, author="Wolfram Research", title="{GeodesicOpening}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/GeodesicOpening.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_geodesicopening, organization={Wolfram Research}, title={GeodesicOpening}, year={2012}, url={https://reference.wolfram.com/language/ref/GeodesicOpening.html}, note=[Accessed: 12-June-2026]}