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17_preliminaries

# 17_preliminaries - Preliminaries COMP344 COMP344...

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Preliminaries COMP344 COMP344 Preliminaries

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Morphological Image Processing It is a tool for extracting image components that are useful in the representation and description of region shape, such as boundaries, skeletons etc We use the language in set theory to represent morphological operations COMP344 Preliminaries
Basic Concepts from Set Theory Let A be a set in Z 2 (2D integer space) If a = ( a 1 , a 2 ) is an element of A , where a 1 and a 2 are coordinates of pixels in 2D, then we write a A If a is not an element of A , then we write a / A If A is a set with no element, then we call it null or empty set: A = A set is specified by the contents of two braces: {·} Example C = { w | w = - d , d D } C : a set of elements w : the elements all elements inside C are formed by multiplying the element coordinates, d , by - 1 COMP344 Preliminaries

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Basic Concepts from Set Theory... A is a subset of B : A B every element of a set A is also an element of another set B every element of A is in B Union of two sets A and B : A B
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17_preliminaries - Preliminaries COMP344 COMP344...

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