Medical Image Processing

Preface Organization of the Book Author Intuitionistic Fuzzy Set and Type II Fuzzy Set Introduction Intuitionistic Fuzzy Set Some Operations on Intuitionistic Fuzzy Sets Fuzzy Complement and Intuitionistic Fuzzy Generator Intuitionistic Fuzzy Generator Intuitionistic Fuzzy Relations Composition of Intuitionistic Fuzzy Relation (Supremum-Infimum) Composition of Intuitionistic Fuzzy Relation Using Fuzzy t-Norm and t-Conorm t-Norm t-Conorm Reflexive Property Symmetric Property Transitive Property Interval-Valued Intuitionistic Fuzzy Set Type II Fuzzy Set Summary References Medical Image Processing Introduction Image Contrast Enhancement Image Segmentation Boundary Detection Morphology Image Registration Image Fusion Image Retrieval Fuzzy Processing of Medical Images Advanced Fuzzy Processing of Medical Images Intuitionistic Fuzzy Set Type II Fuzzy Set Some Applications of Advanced Fuzzy Set in Medical Image Processing Summary References Fuzzy and Intuitionistic Fuzzy Operators with Application in Decision-Making Introduction Fuzzy Operators Fuzzy Operators Induced by Fuzzy t-Norm and t-Conorm t-Norm t-Conorm Negation Fuzzy Aggregating Operators Weighted Averaging Operator Ordered Weighted Averaging Operator Intuitionistic Fuzzy Weighted Averaging Operator Generalized Intuitionistic Fuzzy Weighted Averaging Operator Generalized Intuitionistic Fuzzy Ordered Weighted Averaging Operator Generalized Intuitionistic Fuzzy Hybrid Averaging Operator Application of Intuitionistic Fuzzy Operators to Multi-Attribute Decision-Making Intuitionistic Fuzzy Triangular Norms and Triangular Conorms Summary References Similarity, Distance Measures, and Entropy Introduction Similarity Measure Similarity/Distance Measure Distance Measures Different Types of Distance and Similarity Measures Intuitionistic Fuzzy Measure Intuitionistic Fuzzy Information Measure Intuitionistic Fuzzy Entropy Different Types of Entropies Entropy of Interval-Valued Intuitionistic Fuzzy Set Similarity Measure and Distance Measures of IVIFS Summary References Image Enhancement Introduction Fuzzy Image Contrast Enhancement Fuzzy Methods in Contrast Enhancement Contrast Enhancement Using the Intensification Operator Contrast Improvement Using Fuzzy Histogram Hyperbolization Contrast Enhancement Using IF-THEN Rules Contrast Improvement Using the Fuzzy Expected Value Intuitionistic Fuzzy Enhancement Methods Entropy-Based Enhancement Methods Two-Dimensional Entropy-Based Intuitionistic Fuzzy Enhancement (Method II) Entropy-Based Enhancement Method by Chaira (Method III) Contrast Enhancement by Chaira (Method IV) Hesitancy Histogram Equalization Image Enhancement Using Type II Fuzzy Set Type II Fuzzy Enhancement (Method I) Enhancement Using Hamacher t-Conorm Enhancement Using Type II Fuzzy Set Introduction to MATLAB(R) Examples Using MATLAB(R) Summary References Thresholding of Medical Images Introduction Threshold Detection Methods Global Thresholding Iterative Thresholding Optimal Thresholding Locally Adaptive Thresholding Locally Adaptive and Optimal Thresholding Fuzzy Methods Fuzzy Divergence Method Fuzzy Geometry Method Fuzzy Clustering Method Intuitionistic Fuzzy Threshold Detection Methods Intuitionistic Fuzzy Entropy-Based Method Intuitionistic Fuzzy Divergence-Based Method Window-Based Thresholding Calculation of Membership Function Thresholding Using Type II Fuzzy Set Theory Segmentation Using Type II Fuzzy Set Theory Segmenting Leucocyte Images in Blood Cells Cauchy Distribution Examples Using MATLAB(R) Type II Fuzzy Thresholding Intuitionistic Windowed Thresholding Method Summary References Clustering of Medical Images Introduction Fuzzy c Means Clustering Hierarchical Clustering Kernel Clustering Kernel Clustering Methods Intuitionistic Fuzzy c Means Clustering Kernel-Based Intuitionistic Fuzzy Clustering Colour Clustering Colour Model Type II Fuzzy Clustering Summary References Edge Detection Introduction Thresholding Method Hough Transform Method Boundary-Based Method Fuzzy Methods Intuitionistic Fuzzy Edge Detection Method Template-Based Edge Detection Edge Detection Using the Median Filter Fuzzy Edge Image Using Interval-Valued Fuzzy Relation Construction of Enhanced Fuzzy Edge Using Type II Fuzzy Set Accurate Edge Detection Technique Implementation Using MATLAB(R) An Example to Find the Edge Image An Example to Find the Fuzzy Edge Image Summary References Fuzzy Mathematical Morphology Introduction Preliminaries on Morphology Greyscale Mathematical Morphology Fuzzy Mathematical Morphology Different Definitions of Fuzzy Morphology Fuzzy Morphology Using Lukasiewicz Operator Fuzzy Morphology Using t-Norms and t-Conorms by De Baets and Kerre and Bloch and Maitre Opening and Closing Operations Fuzzy Morphology in Image Processing Edge Detection Intuitionistic Fuzzy Approach Implementation in MATLAB(R) Summary References Index