FEATURE EXTRACTION AND IMAGE PROCESSING FOR COMPUTER VISION, 4TH EDITION

1. Introduction
1.1 Overview
1.2 Human and computer vision
1.3 The human vision system
1.3.1 The eye
1.3.2 The neural system
1.3.3 Processing
1.4 Computer vision systems
1.4.1 Cameras
1.4.2 Computer interfaces
1.5 Processing images
1.5.1 Processing
1.5.2 Hello Python, hello images!
1.5.3 Mathematical tools
1.5.4 Hello Matlab
1.6 Associated literature
1.6.1 Journals, magazines and conferences
1.6.2 Textbooks
1.6.3 The web
1.7 Conclusions
References
2. Images, sampling and frequency domain processing
2.1 Overview
2.2 Image formation
2.3 The Fourier Transform
2.4 The sampling criterion
2.5 The discrete Fourier Transform
2.5.1 One-dimensional transform
2.5.2 Two-dimensional transform
2.6 Properties of the Fourier Transform
2.6.1 Shift invariance
2.6.2 Rotation
2.6.3 Frequency scaling
2.6.4 Superposition (linearity)
2.6.5 The importance of phase
2.7 Transforms other than Fourier
2.7.1 Discrete cosine transform
2.7.2 Discrete Hartley Transform
2.7.3 Introductory wavelets
2.7.3.1 Gabor Wavelet
2.7.3.2 Haar Wavelet
2.7.4 Other transforms
2.8 Applications using frequency domain properties
2.9 Further reading
References
3. Image processing
3.1 Overview
3.2 Histograms
3.3 Point operators
3.3.1 Basic point operations
3.3.2 Histogram normalisation
3.3.3 Histogram equalisation
3.3.4 Thresholding
3.4 Group operations
3.4.1 Template convolution
3.4.2 Averaging operator
3.4.3 On different template size
3.4.4 Template convolution via the Fourier transform
3.4.5 Gaussian averaging operator
3.4.6 More on averaging
3.5 Other image processing operators
3.5.1 Median filter
3.5.2 Mode filter
3.5.3 Nonlocal means
3.5.4 Bilateral filtering
3.5.5 Anisotropic diffusion
3.5.6 Comparison of smoothing operators
3.5.7 Force field transform
3.5.8 Image ray transform
3.6 Mathematical morphology
3.6.1 Morphological operators
3.6.2 Grey level morphology
3.6.3 Grey level erosion and dilation
3.6.4 Minkowski operators
3.7 Further reading
References
4. Low-level feature extraction (including edge detection)
4.1 Overview
4.2 Edge detection
4.2.1 First-order edge detection operators
4.2.1.1 Basic operators
4.2.1.2 Analysis of the basic operators
4.2.1.3 Prewitt edge detection operator
4.2.1.4 Sobel edge detection operator
4.2.1.5 The Canny edge detector
4.2.2 Second-order edge detection operators
4.2.2.1 Motivation
4.2.2.2 Basic operators: The Laplacian
4.2.2.3 The Marr-Hildreth operator
4.2.3 Other edge detection operators
4.2.4 Comparison of edge detection operators
4.2.5 Further reading on edge detection
4.3 Phase congruency
4.4 Localised feature extraction
4.4.1 Detecting image curvature (corner extraction)
4.4.1.1 Definition of curvature
4.4.1.2 Computing differences in edge direction
4.4.1.3 Measuring curvature by changes in intensity (differentiation)
4.4.1.4 Moravec and Harris detectors
4.4.1.5 Further reading on curvature
4.4.2 Feature point detection; region/patch analysis
4.4.2.1 Scale invariant feature transform
4.4.2.2 Speeded up robust features
4.4.2.3 FAST, ORB, FREAK, LOCKY and other keypoint detectors
4.4.2.4 Other techniques and performance issues
4.4.3 Saliency
4.4.3.1 Basic saliency
4.4.3.2 Context aware saliency
4.4.3.3 Other saliency operators
4.5 Describing image motion
4.5.1 Area-based approach
4.5.2 Differential approach
4.5.3 Recent developments: deep flow, epic flow and extensions
4.5.4 Analysis of optical flow
4.6 Further reading
References
5. High-level feature extraction: fixed shape matching
5.1 Overview
5.2 Thresholding and subtraction
5.3 Template matching
5.3.1 Definition
5.3.2 Fourier transform implementation
5.3.3 Discussion of template matching
5.4 Feature extraction by low-level features
5.4.1 Appearance-based approaches
5.4.1.1 Object detection by templates
5.4.1.2 Object detection by combinations of parts
5.4.2 Distribution-based descriptors
5.4.2.1 Description by interest points (SIFT, SURF, BRIEF)
5.4.2.2 Characterising object appearance and shape
5.5 Hough transform
5.5.1 Overview
5.5.2 Lines
5.5.3 HT for circles
5.5.4 HT for ellipses
5.5.5 Parameter space decomposition
5.5.5.1 Parameter space reduction for lines
5.5.5.2 Parameter space reduction for circles
5.5.5.3 Parameter space reduction for ellipses
5.5.6 Generalised Hough transform
5.5.6.1 Formal definition of the GHT
5.5.6.2 Polar definition
5.5.6.3 The GHT technique
5.5.6.4 Invariant GHT
5.5.7 Other extensions to the HT
5.6 Further reading
References
6. High-level feature extraction: deformable shape analysis
6.1 Overview
6.2 Deformable shape analysis
6.2.1 Deformable templates
6.2.2 Parts-based shape analysis
6.3 Active contours (snakes)
6.3.1 Basics
6.3.2 The Greedy Algorithm for snakes
6.3.3 Complete (Kass) Snake implementation
6.3.4 Other Snake approaches
6.3.5 Further Snake developments
6.3.6 Geometric active contours (Level Set-Based Approaches)
6.4 Shape Skeletonisation
6.4.1 Distance transforms
6.4.2 Symmetry
6.5 Flexible shape models - active shape and active appearance
6.6 Further reading
References
7. Object description
7.1 Overview and invariance requirements
7.2 Boundary descriptions
7.2.1 Boundary and region
7.2.2 Chain codes
7.2.3 Fourier descriptors
7.2.3.1 Basis of Fourier descriptors
7.2.3.2 Fourier expansion
7.2.3.3 Shift invariance
7.2.3.4 Discrete computation
7.2.3.5 Cumulative angular function
7.2.3.6 Elliptic Fourier descriptors
7.2.3.7 Invariance
7.3 Region descriptors
7.3.1 Basic region descriptors
7.3.2 Moments
7.3.2.1 Definition and properties
7.3.2.2 Geometric moments
7.3.2.3 Geometric complex moments and centralised moments
7.3.2.4 Rotation and scale invariant moments
7.3.2.5 Zernike moments
7.3.2.6 Tchebichef moments
7.3.2.7 Krawtchouk moments
7.3.2.8 Other moments
7.4 Further reading
References
8. Region-based analysis
8.1 Overview
8.2 Region-based analysis
8.2.1 Watershed transform
8.2.2 Maximally stable extremal regions
8.2.3 Superpixels
8.2.3.1 Basic techniques and normalised cuts
8.2.3.2 Simple linear iterative clustering
8.3 Texture description and analysis
8.3.1 What is texture?
8.3.2 Performance requirements
8.3.3 Structural approaches
8.3.4 Statistical approaches
8.3.4.1 Co-occurrence matrix
8.3.4.2 Learning-based approaches
8.3.5 Combination approaches
8.3.6 Local binary patterns
8.3.7 Other approaches
8.3.8 Segmentation by texture
8.4 Further reading
References
9. Moving object detection and description
9.1 Overview
9.2 Moving object detection
9.2.1 Basic approaches
9.2.1.1 Detection by subtracting the background
9.2.1.2 Improving quality by morphology
9.2.2 Modelling and adapting to the (static) background
9.2.3 Background segmentation by thresholding
9.2.4 Problems and advances
9.3 Tracking moving features
9.3.1 Tracking moving objects
9.3.2 Tracking by local search
9.3.3 Problems in tracking
9.3.4 Approaches to tracking
9.3.5 MeanShift and Camshift
9.3.5.1 Kernel-based density estimation
9.3.5.2 MeanShift tracking 456
9.3.5.3 Camshift technique 461
9.3.6 Other approaches 465
9.4 Moving feature extraction and description 468
9.4.1 Moving (biological) shape analysis 468
9.4.2 Space-time interest points 470
9.4.3 Detecting moving shapes by shape matching in
image sequences 470
9.4.4 Moving shape description 474
9.5 Further reading 477
References 478
Contents xv
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10. Camera geometry fundamentals 483
10.1 Overview 483
10.2 Projective space 483
10.2.1 Homogeneous co-ordinates and projective
geometry 484
10.2.2 Representation of a line, duality and ideal points 485
10.2.3 Transformations in the projective space 487
10.2.4 Computing a planar homography 490
10.3 The perspective camera 493
10.3.1 Perspective camera model 494
10.3.2 Parameters of the perspective camera model 498
10.3.3 Computing a projection from an image 498
10.4 Affine camera
10.4.1 Affine camera model
10.4.2 Affine camera model and the perspective projection
10.4.3 Parameters of the affine camera model
10.5 Weak perspective model
10.6 Discussion
10.7 Further reading
References
11. Colour images
11.1 Overview
11.2 Colour image theory
11.2.1 Colour images
11.2.2 Tristimulus theory
11.2.3 The colourimetric equation
11.2.4 Luminosity function
11.3 Perception-based colour models: CIE RGB and CIE XYZ
11.3.1 CIE RGB colour model: Wright-Guild data
11.3.2 CIE RGB colour matching functions
11.3.3 CIE RGB chromaticity diagram and chromaticity co-ordinates
11.3.4 CIE XYZ colour model
11.3.5 CIE XYZ colour matching functions
11.3.6 XYZ chromaticity diagram
11.3.7 Uniform colour spaces: CIE LUV and CIE LAB
11.4 Additive and subtractive colour models
11.4.1 RGB and CMY
11.4.2 Transformation between RGB models
11.4.3 Transformation between RGB and CMY models
11.5 Luminance and chrominance colour models
11.5.1 YUV, YIQ and YCbCr models
11.5.2 Luminance and gamma correction
11.5.3 Chrominance
11.5.4 Transformations between YUV, YIQ and RGB colour models
11.5.5 Colour model for component video: YPbPr
11.5.6 Colour model for digital video: YCbCr
11.6 Additive perceptual colour models
11.6.1 The HSV and HLS colour models
11.6.2 The hexagonal model: HSV
11.6.3 The triangular model: HLS
11.6.4 Transformation between HLS and RGB
11.7 More colour models
References
12. Distance, classification and learning
12.1 Overview
12.2 Basis of classification and learning
12.3 Distance and classification
12.3.1 Distance measures
12.3.1.1 Manhattan and Euclidean Ln norms
12.3.1.2 Mahalanobis, Bhattacharrya and Matusita
12.3.1.3 Histogram intersection, Chi2 (c2) and the Earth Mover’s distance
12.3.2 The k-nearest neighbour for classification
12.4 Neural networks and Support Vector Machines
12.5 Deep learning
12.5.1 Basis of deep learning
12.5.2 Major deep learning architectures
12.5.3 Deep learning for feature extraction
12.5.4 Deep learning performance evaluation
12.6 Further reading
References

• The only text to concentrate on feature extraction with working implementation and worked through mathematical derivations and algorithmic methods
• A thorough overview of available feature extraction methods including essential background theory, shape methods, texture and deep learning
• Up to date coverage of interest point detection, feature extraction and description and image representation (including frequency domain and colour)
• Good balance between providing a mathematical background and practical implementation
• Detailed and explanatory of algorithms in MATLAB and Python

Authors
• Mark Nixon, Professor of Electronics and Computer Science, University of Southampton, UK
• Alberto Aguado, Principal Programmer, Sportradar, Brighton, UK