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For pixels p(x, y), q(s, t), and z(v, w), D is a distance function or metric if:(a) D(p, q) ≥ 0(b) D(p, q) = D(q, p)(c) D(p, z) ≤ D(p, q) + D(q, z)(d) All of the mentionedI got this question by my college professor while I was bunking the class.Query is from Relationship between Pixels and Image Enhancement Basics topic in portion Image Enhancement of Digital Image Processing

Answer»

Right choice is (d) All of the mentioned

The EXPLANATION is: For pixels P(x, y), Q(s, t), and z(v, W), D is a distance function or METRIC if:

(i) D(p, q) ≥ 0,(D(p, q) = 0if p=q),

(ii) D(p, q) = D(q, p), and

(iii) D(p, z) ≤ D(p, q) + D(q, z).



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