Preface
Acknowledgments
List of symbols and abbreviations
1. Introduction
1.1 Breast cancer and mammography
1.2 Mammographic signs of breast cancer
1.2.1 Masses
1.2.2 Calcifications
1.2.3 Bilateral asymmetry
1.2.4 Architectural distortion
1.3 Event detection in medical images
1.3.1 Sensitivity and specificity
1.3.2 Receiver operating characteristics
1.3.3 Free-response receiver operating characteristics
1.4 Computer-aided diagnosis of breast cancer
1.5 Analysis of prior mammograms
1.6 Organization of the book
1.6.1 Hypothesis and aim of the work
1.6.2 Structure of the book
2. Detection of early signs of breast cancer
2.1 Detection of architectural distortion
2.2 Detection of architectural distortion by CAD systems
2.3 Detection of signs of cancer in prior mammograms
2.4 Remarks
3. Detection and analysis of oriented patterns
3.1 Oriented texture in biomedical images
3.2 Gabor filters
3.2.1 The real Gabor filter
3.2.2 The complex Gabor filter
3.3 Analysis of oriented patterns using phase portraits
3.3.1 Phase portraits
3.4 Analysis of orientation fields using phase portraits
3.5 Illustrative example
3.6 Remarks
4. Detection of potential sites of architectural distortion
4.1 Detection of architectural distortion
4.1.1 Segmentation of the breast portion in a mammogram
4.1.2 Extraction of the orientation field
4.1.3 Selection of curvilinear structures
4.1.4 Filtering and downsampling the orientation field
4.1.5 Estimating the phase-portrait maps
4.1.6 Shape-constrained phase-portrait model
4.2 Potential sites of architectural distortion
4.3 Remarks
5. Experimental set up and datasets
5.1 Datasets of mammograms
5.1.1 Interval cancer
5.1.2 Screen-detected cancer
5.2 Selection of ROIs
5.2.1 Interval-cancer cases
5.2.2 Screen-detected cancer cases
5.3 Remarks
6. Feature selection and pattern classification
6.1 Analysis of features and pattern classification
6.2 Characterization of features
6.2.1 Student's t-test and the p-value
6.2.2 The receiver operating characteristic (ROC) curve
6.2.3 FROC analysis
6.3 Feature selection
6.3.1 Logistic regression
6.3.2 Stepwise regression
6.4 Pattern classification
6.4.1 Fisher linear discriminant analysis
6.4.2 The Bayesian classifier
6.4.3 Neural networks
6.4.4 Support vector machines
6.5 Training and test sets
6.5.1 Cross-validation
6.5.2 The leave-one-out method
6.5.3 Effects of sample size and bias
6.6 Remarks
7. Analysis of oriented patterns related to architectural distortion
7.1 Features and patterns related to architectural distortion
7.2 Node value
7.3 Frequency-domain methods
7.3.1 Design of geometric transformations for spectral analysis
7.3.2 Fractal analysis
7.3.3 Estimation of FD
7.3.4 Angular spread of power
7.4 Analysis of texture
7.4.1 Statistical analysis using Haralick's measures
7.4.2 Structural analysis of texture using Laws' energy measures
7.4.3 Design of geometric transformations for the analysis of oriented patterns
7.5 Characterization of angular dispersion
7.5.1 Coherence
7.5.2 Orientation strength
7.5.3 Characterization of angular spread
7.6 Measures of angular dispersion
7.6.1 Tsallis entropy
7.6.2 Renyi entropy
7.7 Analysis of performance of individual features
7.8 Remarks
8. Detection of architectural distortion in prior mammograms
8.1 Analysis of performance of selected features from various sets
8.1.1 Statistical significance of differences in performance
8.1.2 Effects of various types of cross-validation and training sets
8.1.3 Analysis of performance with various methods of cross-validation and feature selection
8.2 Analysis of performance with subsets of the interval-cancer dataset
8.3 Cross-validation of performance in detection using different datasets
8.4 Comparative analysis and discussion
8.5 Remarks
9. Concluding remarks
A. List of empirically selected parameters
References
Authors' biographies.