Talk:Dilation (morphology)
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Grayscale dilation equation
[edit]The following equation
![{\displaystyle (f\oplus b)(x)=\sup _{y\in E}[f(y)+b(x-y)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0c3e0c695dc5b283a760ac27b3cf39e25e9ff38a)
looks erroneous. The structuring element has domain E and so it should not take (x-y) as its argument. I propose correcting this to
- .
![{\displaystyle (f\oplus b)(x)=\sup _{y\in E}[f(x-y)+b(y)]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cea91a4f1b2521b79c15e92e0305efe5891c7b63)
See, for example, slide 7 in http://www.ee.lamar.edu/gleb/dip/10-3%20-%20Morphological%20Image%20Processing.pdf 161.84.227.13 (talk) 16:21, 21 August 2014 (UTC)
Example
[edit]An example would be nice, the one in the Erosion page really clears it up. — Preceding unsigned comment added by 2001:7C0:409:410E:AD6D:7299:2CF8:DE16 (talk) 12:41, 14 September 2015 (UTC)
Intuition
[edit]Is there any reason this article does not start with an intuitive description of what the dilation operator does? Something like, "Originally developed for binary images, where any pixel adjacent to an 'on' pixel is turned 'on', ...", or "Dilation is one of the basic operations in mathematical morphology. It causes 'on' or higher values to spread to adjacent or nearby positions in a matrix or image." Tgillet1 (talk) 18:03, 21 December 2016 (UTC)