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DistanceTransform[image]
gives the distance transform of image, in which the value of each pixel is replaced by its distance to the nearest background pixel.
Details and Options Examplesopen allclose all Basic Examples (2)Distance transform of a binary image:
Distance transform of a 3D image:
Scope (1)Distance transform of a color image:
Options (2) Padding (1)By default, Padding->1 is assumed:
Applications (3)Find the radius of the thickest branch in a tree:
Apply a LoG filter to the output of a distance transform:
Ultimate erosion of a binary image:
Wolfram Research (2008), DistanceTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/DistanceTransform.html (updated 2014). TextWolfram Research (2008), DistanceTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/DistanceTransform.html (updated 2014).
CMSWolfram Language. 2008. "DistanceTransform." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/DistanceTransform.html.
APAWolfram Language. (2008). DistanceTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DistanceTransform.html
BibTeX@misc{reference.wolfram_2025_distancetransform, author="Wolfram Research", title="{DistanceTransform}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/DistanceTransform.html}", note=[Accessed: 12-July-2025 ]}
BibLaTeX@online{reference.wolfram_2025_distancetransform, organization={Wolfram Research}, title={DistanceTransform}, year={2014}, url={https://reference.wolfram.com/language/ref/DistanceTransform.html}, note=[Accessed: 12-July-2025 ]}
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