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Part I

4

Contents

Contents

Prefaces 7

1 Introduction 8

1.1 Digital image processing 8

1.2 Purpose of digital image processing 9

1.3 Application areas that use digital image processing 10

1.4 Components of an image processing system 14

1.5 Visual perception 14

1.6 Image acquisition 15

1.7 Image sampling and quantization 16

1.8 Basic relationship between pixels 17

1.9 Summary 19

1.10 References 19

1.11 Problems 19

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Part I

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Contents

2 Intensity transformations and spatial filtering 20

2.1 Preliminaries 20

2.2 Basic Intensity Transformation Functions 20

2.3 Histogram Processing 22

2.4 Fundamentals of Spatial Filtering 26

2.5 Smoothing Spatial Filters 26

2.6 Sharpening filters 30

2.7 Combining image enhancement methods 33

2.8 Summary 34

2.9 References 35

2.10 Problems 36

3 Filtering in the Frequency Domain 37

3.1 Background 37

3.2 Preliminaries 37

3.3 Sampling and the Fourier Transform of Sampled Functions 38

3.4 Discrete Fourier Transform 43

3.5 Extension to Functions of Two Variables 44

3.6 Some Properties of the 2-D Discrete Fourier Transform 45 3.7 The Basics of Filtering in the Frequency Domain 46

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© Deloitte & Touche LLP and affiliated entities.

360° thinking .

Discover the truth at www.deloitte.ca/careers

© Deloitte & Touche LLP and affiliated entities.

360° thinking .

Discover the truth at www.deloitte.ca/careers

© Deloitte & Touche LLP and affiliated entities.

360° thinking .

Discover the truth at www.deloitte.ca/careers

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Part I

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Contents

3.8 Image Smoothing Using Frequency Domain Filters 47 3.9 Image Sharpening Using Frequency Domain Filters 50

3.10 Summary 56

3.11 References and Further Reading 56

3.12 Problems 56

4 Image Restoration 57

4.1 Image degradation and restoration 57

4.2 Noise analysis 57

4.3 Restoration with spatial analysis 60

4.4 Restoration with frequency analysis 63

4.5 Motion blur and image restoration 66

4.6 Geometric transformation 69

4.7 References 70

4.8 Problems 71

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