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Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Faculty of Electrical & Computer Engineering, Hassan Hassan Ghassemian Ghassemian م ي ح ر ل ا ن م ح ر ل ه ا ل ل م ا س ب م ي ح ر ل ا ن م ح ر ل ه ا ل ل م ا س بTarbiat Modares University Tarbiat Modares University Faculty of Electrical & Computer Engineering Faculty of Electrical & Computer Engineering Digital Image Processing and Digital Image Processing and Analysis Analysis Topic 4 Topic 4 Image Enhancement Image Enhancement In the Frequency In the Frequency Domain Domain

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Page 1: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

الرحيم الرحمن الله الرحيم بسم الرحمن الله بسم

Tarbiat Modares UniversityTarbiat Modares UniversityFaculty of Electrical & Computer EngineeringFaculty of Electrical & Computer Engineering

Digital Image Processing and AnalysisDigital Image Processing and AnalysisTopic 4Topic 4

Image EnhancementImage EnhancementIn the Frequency DomainIn the Frequency Domain

Page 2: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Image Enhancement in the Frequency DomainImage Enhancement in the Frequency Domain

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 3: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 4: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 5: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 6: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 7: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 8: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 9: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 10: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

F(0,0)N

1

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Properties of DFTProperties of DFT

Page 11: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Sampling PropertySampling Property

Page 12: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Periodicity of DFTPeriodicity of DFT

Page 13: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

),( vuF

),( 00 vuF

dudvvvuuvuFvuF ),(),(),( 0000

Page 14: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 15: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 16: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 17: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 18: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

),(),( yxgyxf

),(),( yxgyxf

Page 19: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 20: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

),(),(),( vuievuFvuF

),( vuF

),( vuF

Page 21: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

),(),(),( vuievuFvuF

),( vuF

),( vuF

Page 22: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

),(),(),( vuievuFvuF

),( vuF

),( vuF

Page 23: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 24: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 25: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 26: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 27: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 28: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 29: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 30: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 31: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 32: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 33: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 34: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 35: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 36: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 37: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 38: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 39: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 40: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 41: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 42: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 43: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 44: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 45: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 46: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 47: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 48: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 49: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 50: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 51: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 52: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 53: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 54: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 55: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 56: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 57: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 58: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing Digital Image Processing and Analysis,and Analysis, Spring 2005Spring 2005

Page 59: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 60: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 61: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 62: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 63: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 64: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

Page 65: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 66: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 67: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 68: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 69: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 70: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 71: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 72: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

Page 73: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 74: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Page 75: Tarbiat Modares University, Faculty of Electrical & Computer Engineering, Hassan Ghassemian بسم الله الرحمن الرحيم Tarbiat Modares University Faculty of

Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

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Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

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Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

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Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

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Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2005Spring 2005

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Tarbiat Modares University, Tarbiat Modares University, Faculty of Electrical & Computer Engineering,Faculty of Electrical & Computer Engineering, Hassan GhassemianHassan Ghassemian

Digital Image Processing and Analysis,Digital Image Processing and Analysis, Spring 2004Spring 2004

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