ece542-10 - ECE542-10 Digital Image Processing 9-...

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2 Z 2 and Z 3 The language of mathematical morphology is a set theory Sets in mathematic morphology represent objects in an image binary image : the element of the set is the coordinates (x,y) of pixel belong to the object Z 2 gray-scaled image : the element of the set is the ECE542 - 10 3 Cal Poly Pomona coordinates (x,y) of pixel belong to the object and the gray levels Z 3 Basic Set Theory Let A and B be a set of in Z 2 . The union of two sets A and B, denoted by CAB C is the set of all elements belonging to either A, B or either The intersection of two sets A and B, denoted by ECE542 - 10 4 Cal Poly Pomona C is the set of all elements belonging to both A and B Two set A and B are disjoint or mutually exclusive if they have no common element AB  
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3 Basic Set Theory The complement of a set A is the set of element not contained in A: The difference of two set A and B, denoted A-B, is define as   | c A ww A    |, c AB ww AwB AB    ECE542 - 10 5 Cal Poly Pomona The reflection of set B, denoted by B, is defined as
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This note was uploaded on 10/24/2010 for the course ECE 542 taught by Professor Zeki during the Spring '10 term at Cal Poly Pomona.

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ece542-10 - ECE542-10 Digital Image Processing 9-...

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