Is there a difference between 8 adjacency and m adjacency of pixels other than its definition?

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The definition of 8-adjacency and m-adjacency are clear. But is there a case where two pixels p and q can be 8-adjacent, but not m-adjacent. I have given the definition of 8-adjacent and m-adjacent below:

8-adjacency: two pixels p and q with values from V are 8-adjacent if q is in the set N8(p).

m-adjacency: two pixels p and q with values from V are m-adjacent if

i) q is in N4(p), OR

ii) q is in ND(p) AND the set N4(p) N4(q) has no pixels whose values are from V.

computer-vision image-processing
2 Answers

This is the definition 8-adjacency: two pixels p and q with values from V are 8-adjacent if q is in the set N8(p).

m-adjacency: two pixels p and q with values from V are m-adjacent if

i) q is in N4(p), OR

ii) q is in ND(p) AND the set N4(p) N4(q) has no pixels whose values are from V.

In our case here set N4(p) N4(q) has pixels hose values are from V. So it is not 8-adjacency.

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