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DIGITAL IMAGE PROCESSING Instructors: Dr J. Shanbehzadeh Shanbehzadeh@gmail.com Mostafa Mahdijo Mostafa Mahdijo mostafa.mahdijoo@gmail.com ( J.Shanbehzadeh M.Mahdijo) Kharazmi University
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DIGITAL IMAGE PROCESSING Instructors: Dr J. Shanbehzadeh Shanbehzadeh@gmail.com Mostafa Mahdijo Mostafa Mahdijo mostafa.mahdijoo@gmail.com ( J.Shanbehzadeh M.Mahdijo)
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Road map of chapter 9 9.1 Preliminaries 9.2 Erosion and Dilation 9.3 Opening and Closing 9.4 Hit-or-Miss Transformation PreliminariesErosion and DilationOpening and ClosingHit-or-Miss Transformation 9.29.3 9.4 9.29.1
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Morphology : form and structure Extracting image components for : representation and description of region shape From Image processing methods Input: Image Output: Image To Image processing methods Input: ImageOutput: Attributes preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Preliminaries preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) Reflection and Translation : Translation: (B) z = {c | c = b + z, for b є B}
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Preliminaries ( J.Shanbehzadeh M.Mahdijo) Structuring Elements : preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Structuring Elements: preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Preliminaries ( J.Shanbehzadeh M.Mahdijo)
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Preliminaries Erosion: ( J.Shanbehzadeh M.Mahdijo) preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Preliminaries ( J.Shanbehzadeh M.Mahdijo) preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Erosion and Dilation ( J.Shanbehzadeh M.Mahdijo) preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Erosion (More examples): ( J.Shanbehzadeh M.Mahdijo) Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Erosion (More examples): ( J.Shanbehzadeh M.Mahdijo) Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Erosion in removing salt noise: ( J.Shanbehzadeh M.Mahdijo) Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Dilation: ( J.Shanbehzadeh M.Mahdijo) Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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( J.Shanbehzadeh M.Mahdijo) Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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( J.Shanbehzadeh M.Mahdijo) Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing
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Dilation : Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Dilation in edge detection: Erosion and Dilation preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Duality: preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Erosion and Dilation ( J.Shanbehzadeh M.Mahdijo) Proof:
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Opening and Closing preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing opening:smoothes the contour of an object, breaks narrow isthmuses, and eliminates thin protrusions. closing: Smooth sections of contours, but as opposed to Opening, it generally fuses narrow breaks and long thin gulfs, eliminates small holes, and fills gaps in the contour ( J.Shanbehzadeh M.Mahdijo)
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preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Duality Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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opening : Separate out the circles from the lines, so that they can be counted. Opening with a disk shaped structuring element 11 pixels in diameter gives preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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opening : Extracting the horizontal and vertical lines The results of an Opening with a 3×9 vertically and 9x3 horizontally oriented structuring element is shown preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Opening in removing salt noise: preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Opening in removing pepper noise: preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Closing: preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Closing (More examples): Removing the small holes while retaining the large holes preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing Closing with a 22 pixel diameter disk Closing with a disk-shaped structuring element with a diameter larger than the smaller holes preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Closing (More examples): Enhance binary images of objects obtained from thresholdingbinary images thresholding preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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Closing for pepper noise : preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) Opening and Closing
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Closing for salt noise: preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing Opening and Closing ( J.Shanbehzadeh M.Mahdijo)
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preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) Opening and Closing
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(a) A o B is a subset (subimage) of A. (b) If C is a subset of D, then C o B is a subset of D o B. (c) (A o B) o B = A o B. (a) A is a subset (subimage) of A B. (b) If C is a subset of D, then C B is a subset of D B. (c) (AB)B=AB. preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) Opening and Closing
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preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) Opening and Closing
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preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) The Hit-or-Miss Transformation
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preview 9.1- Preliminaries 9.2-Erosion and Dilation 9.3- Opening and Closing ( J.Shanbehzadeh M.Mahdijo) The Hit-or-Miss Transformation
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