Data Fusion Mathematics: Theory and Practice

Introduction to Data Fusion Process Data Fusion Aspects Data Fusion Models Sensor Data Fusion Configurations Sensor Data Fusion Architectures Data Fusion Process References Statistics, Probability Models and Reliability: Towards Probabilistic Data Fusion Introduction Statistics Probability Models Probabilistic Methods for DF Reliability in DF Information Methods Probability Concepts for Expert System and DF Probabilistic Methods for DF: Theoretical Examples Bayesian Formula and Sensor/DF: Illustrative Example References Fuzzy Logic and Possibility Theory-Based Fusion Introduction Fuzzy Logic Type I Adaptive Neuro-fuzzy Inference System Fuzzy Logic Type Fuzzy Intelligent Sensor Fusion FL-based Procedure for Generating the Weights for a DF Rule FL-ANFIS for Parameter Estimation and Generation of DF Weights: Illustrative Examples Possibility Theory Fusion of Long-Wave IR and EOT Images Using Type 1 and Type 2 Fuzzy Logics: Illustrative Examples DF Using Dempster-Shafer and Possibility Theory: Illustrative Example A: Type 1 - Triangular MF-MATLAB Code B: Type 2 - Gaussian MF-MATLAB Code Fuzzy Inference Calculations - MATLAB Code References Filtering, Target Tracking and Kinematic Data Fusion Introduction The Kalman Filter The Multi-Sensor Data Fusion and Kalman Filter Non-linear Data Fusion Methods Data Association in MS Systems Information Filtering HI Filtering-Based DF Optimal Filtering for Data Fusion with Missing Measurements Factorisation Filtering and Sensor DF: Illustrative Example References Decentralised Data Fusion Systems Introduction Data Fusion Architectures Decentralised Estimation and Fusion Decentralised Multi-Target Tracking Millman's Formulae in Sensor Data Fusion SRIF for Data Fusion in Decentralised Network with Four Sensor Nodes: Illustrative Example References Component Analysis and Data Fusion Introduction Independent Component Analysis An Approach to Image Fusion Using ICA Bases Principal Component Analysis Discrete-Cosine Transform WT: A Brief Theory An Approach to Image Fusion Using ICA and Wavelets Non-Linear ICA and PCA Image Fusion Using MR Singular Value Decomposition References Image Algebra and Image Fusion S. Sethu Selvi Introduction Image Algebra Pixels and Features of an Image Inverse Image Red, Green and Blue, Grey Images and Histograms Image Segmentation Noise Processes in an Observed/Acquired Image Image Feature Extraction Methods Image Transformation and Filtering Approaches Image Fusion Mathematics Image Fusion Algorithms Performance Evaluation Multimodal Biometric Systems and Fusion: Illustrative Examples References Decision Theory and Fusion Introduction Loss and Utility Functions Bayesian DT Decision Making with Multiple Information Sources Fuzzy Modelling Approach for Decision Analysis/Fusion Fuzzy-Evolutive Integral Approach Decision Making Based on Voting DeF Using FL for Aviation Scenarios DeF Strategies SA with FL and DeF for Aviation Scenarios: Illustrative Examples References Wireless Sensor Networks and Multimodal Data Fusion Introduction Communication Networks and Their Topologies in WSNs Sensor/Wireless Sensor Networks Wireless Sensor Networks and Architectures Sensor Data Fusion in WSN Multimodality Sensor Fusion Decision Fusion Rules in WSN Data Aggregation in WSN Hybrid Data and Decision Fusion in WSN Optimal Decision Fusion in WSN References Soft Computing Approaches to Data Fusion Introduction Artificial Neural Networks Radial Basis Function Neural Network Recurrent Neural Networks FL and Systems as SC Paradigm FL in Kalman Filter for Image-Centroid Tracking: A Type of Fusion Genetic Algorithms SDF Approaches Using SC Methods: Illustrative Examples Machine Learning Neural-Fuzzy-Genetic Algorithm Fusion Image Analysis Using ANFIS: Illustrative Example Acknowledgement References A: Some Algorithms and/or Their Derivations B: Other Methods of DF and Fusion Performance Evaluation Metrics C:Automatic Data Fusion D: Notes and Information on Data Fusion Software Tools E: Definitions of Sensor DF in Literature F: Some Current Research Topics in DF