Is an image a 2D manifold? Why or why not?

BR Brucekowkabany asked on 25 June 2020, 05:10
1 answers / 422 views / 0 votes
CH
No. The word manifold generally refers to a subset with certain smoothness properties of a predefined vector space.

Therefore, an image is not considered a 2D manifold. However, the set of all natural images of a size MxN could be considered as an MxN-dimension manifold. In that case the predefined vector space is the set of all images of size MxN, which contains both natural images and noise.

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