Morphological Image Processing.ppt...Microsoft PowerPoint - Morphological Image Processing.ppt [Compatibility Mode] Author raz Created Date 2/13/2018 4:47:16 PM

٢٨/٠۵/١۴٣٩

١

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

٢







٢٨/٠۵/١۴٣٩

٣



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




٢٨/٠۵/١۴٣٩

۴






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.

٢٨/٠۵/١۴٣٩

۵






OpeningOpening of A by B is denoted by

A o B = ( A Ɵ B ) B.

It is less destructive than the Erosion.

٢٨/٠۵/١۴٣٩

۶



Application

Structuring element is an 11pixel array with a circle shape

Input Image Resultant Image



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

٢٨/٠۵/١۴٣٩

٧







٢٨/٠۵/١۴٣٩

٨






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.

٢٨/٠۵/١۴٣٩

٩







Documents

Morphological Image Processing.ppt...Microsoft PowerPoint - Morphological Image Processing.ppt [Compatibility Mode] Author raz Created Date 2/13/2018 4:47:16 PM