19_morphological

# 19_morphological - X k = X k-1 ⊕ B ∩ A c intersection...

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Some Basic Morphological Algorithms COMP344 COMP344 Some Basic Morphological Algorithms

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Boundary Extraction COMP344 Some Basic Morphological Algorithms
Boundary Extraction. .. Boundary of a set A diﬀerence between the object and the “eroded” object β ( A ) = A - ( A ± B ) shaded region = 1, white region = 0 COMP344 Some Basic Morphological Algorithms

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Example structuring element: small/large COMP344 Some Basic Morphological Algorithms
Region Filling Objective Beginning with a point p inside the boundary, ﬁll the entire region with 1’s COMP344 Some Basic Morphological Algorithms

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Algorithm X k = ( X k - 1 B ) A c , k = 1 , 2 , 3 , . . . B : symmetric structuring element X 0 = p the algorithm stops when X k = X k - 1 (there is no change in the region size) COMP344 Some Basic Morphological Algorithms

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Unformatted text preview: X k = ( X k-1 ⊕ B ) ∩ A c intersection with A c limits the result to inside the region of interest returns the set union of X k and A : contains the ﬁlled set and its boundary COMP344 Some Basic Morphological Algorithms Example COMP344 Some Basic Morphological Algorithms Another Example COMP344 Some Basic Morphological Algorithms Connected Components Objective Beginning with a point p inside the object, ﬁll out the entire object with 1’s COMP344 Some Basic Morphological Algorithms Example X k = ( X k-1 ⊕ B ) ∩ A X = p COMP344 Some Basic Morphological Algorithms Example 2 COMP344 Some Basic Morphological Algorithms...
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## This note was uploaded on 09/24/2010 for the course COMP 344 taught by Professor Albertk.wong during the Fall '09 term at HKUST.

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19_morphological - X k = X k-1 ⊕ B ∩ A c intersection...

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