GeodesicErosion [marker,mask]
gives the fixed point of the geodesic erosion of the marker constrained by the mask.
GeodesicErosion
GeodesicErosion [marker,mask]
gives the fixed point of the geodesic erosion of the marker constrained by the mask.
Details and Options
- GeodesicErosion works with binary, grayscale, and multichannel images, operating on each channel separately.
- GeodesicErosion works with 2D as well as 3D images, and also with data arrays of any rank.
- GeodesicErosion [marker,mask] effectively starts with marker then repeatedly erodes it, masking with mask until the result no longer changes. For symbolic data, the geodesic erosion is done only once.
- GeodesicErosion [marker,mask,n] iterates the erosion process at most n times.
- GeodesicErosion effectively performs a morphological reconstruction by erosion.
- The following options can be given:
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- The default setting Padding->None considers smaller neighborhoods at the edges of an image.
Examples
open all close allBasic Examples (2)
Reconstruct the marked background objects:
Reconstruct the marked background objects in a 3D image:
Scope (1)
Geodesic erosion of a vector:
Applications (1)
Select the extended minimum that includes the specified point:
Properties & Relations (1)
When computing geodesic erosion on symbolic arrays, only one iteration is performed:
Interactive Examples (1)
Extract objects of varying sizes:
Tech Notes
Related Guides
History
Introduced in 2008 (7.0) | Updated in 2010 (8.0) ▪ 2012 (9.0)
Text
Wolfram Research (2008), GeodesicErosion, Wolfram Language function, https://reference.wolfram.com/language/ref/GeodesicErosion.html (updated 2012).
CMS
Wolfram Language. 2008. "GeodesicErosion." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/GeodesicErosion.html.
APA
Wolfram Language. (2008). GeodesicErosion. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeodesicErosion.html
BibTeX
@misc{reference.wolfram_2025_geodesicerosion, author="Wolfram Research", title="{GeodesicErosion}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/GeodesicErosion.html}", note=[Accessed: 11-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_geodesicerosion, organization={Wolfram Research}, title={GeodesicErosion}, year={2012}, url={https://reference.wolfram.com/language/ref/GeodesicErosion.html}, note=[Accessed: 11-January-2026]}