Low rank Euclidean distance matrix

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Hajar Alshaikh
Hajar Alshaikh 2023-4-3
评论： Image Analyst 2023-4-4
How i can generate a random low rank EDM matrix X such that X=A*B and A of size (n,r), and B of size(r,n)

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Image Analyst
Image Analyst 2023-4-3
I'm not sure what that means, but you can generate an EDM matrix with bwdist
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Hajar Alshaikh
Hajar Alshaikh 2023-4-4
You can notice here that X is EDM . However, it is not a low rank matrix . The rank of this X is n-1 which is not a low rank
Image Analyst
Image Analyst 2023-4-4
You're using EDM in a way that is not familiar to me, as a member of the image processing community, where it means the distance of a pixel in a foreground object to the nearest background pixel.
Your first loop looks like it's doing the same thing as pdist2
Sorry I can't help you because I don't understand why rank matters and why you want it to be a low number. Image image processing, the EDM is what it is - it's a given for a given matrix and is not something you can adjust. It's like saying the distance between 10 and 15 is 5. OK, it's 5 but you can't say that want it to be 4. It just isn't. So that's why I say I don't understand what you want or why you want it.

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