Question

Let S, a subset of pixels in an image, is said to be a connected set if:

(a) If for any pixel p in S, the set of pixels that are connected to it in Sis only one

(b) If it only has one connected component

(c) If S is a region

(d) All of the mentioned

The question was posed to me in an international level competition.

My question comes from Relationship between Pixels and Image Enhancement Basics topic in chapter Image Enhancement of Digital Image Processing

Answer 1

Right choice is (d) All of the mentioned

The explanation is: For a subset of pixels in an image S

For any pixel p in S, the set of pixels is called a connected component of S if connected to p in S. The set S is called a connected set if it only has one connected component.

S, is a region of the image if S is a connected set.