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Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
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٢
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
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Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Dilation
Dilation of A by B is denoted and defined as A B = { z | ( B )z A }^
Theoretical way of generation:Obtaining reflection of B about its origin and shifting this reflection by z the dilation of A by B then is set of all displacements, z such that B^ and A overlap by at least one element
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
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۴
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Erosion
Erosion of A by B is denoted and defined asA Ɵ B = { z| ( B )z A }
Theoretical way of generation:Erosion of A by B is the set of all points such that B, translated by z is contained in A.
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Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
OpeningOpening of A by B is denoted by
A o B = ( A Ɵ B ) B.
It is less destructive than the Erosion.
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Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Application
Structuring element is an 11pixel array with a circle shape
Input Image Resultant Image
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
ClosingClosing of A by B is denoted and defined as
A B = ( A B ) Ɵ BClosing is less destructive of the original boundary shape than dilation
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Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
٢٨/٠۵/١۴٣٩
٨
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Boundary Extraction
Boundary of a set A is denoted by (A) and is defined asβ(A) = A – (A Ɵ B )Where B is a suitable Structuring element
This is obtained by first eroding A by B and then performing the set difference between A and its erosion.
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٩
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing
Digital Image Processing, 2nd ed.Digital Image Processing, 2nd ed. www.imageprocessingbook.com
© 2002 R. C. Gonzalez & R. E. Woods
Chapter 9Morphological Image ProcessingChapter 9Morphological Image Processing