bwdistgeodesic with Euclidean distance as metric
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Hello,
bwdist allows one to use Euclidean distance as metric while for bwdistgeodesic that is not an option. Is there a specific reason for this behavior? Is there a standard workaround?
Any advice welcome! Thanks!
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Adam Danz
on 10 Jan 2020
Edited: Adam Danz
on 10 Jan 2020
According to Steve Eddins's image processing blog post on this topic, the bwdistgeodesic function (since r2011b) computes the shortest path that avoids objects. One of the distance metrics options is 'quasi-euclidean' which measures the total Euclidean distance along a set of horizontal, vertical, and diagonal line segments that cicumvent the objects. A true Euclidean metric would pass through the object if it were between the two endpoints. For a visual depiction of this and other distance metrics, see this page.
A nice description of geodesic distance transform and its relationship to Euclidean distance is described in this Jupyter Notebook blog post (not Matlab code).
Lastly, a really nice depiction of the difference between the Euclidean distance and the Geodesic distance is shown in the reference below.
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Adam Danz
on 17 Jan 2020
bwdistgeodesic is used to find shortest paths subject to constraints.
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