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Index
Table of Contents
Title Page
End User License Agreement
Warranty Disclaimer:
Limitation of Liability:
eBook Product Disclaimer:
Permission for Use of Material and Reproduction
Permission Information for Users Outside the USA:
Permission Information for Users in the USA:
DEDICATION
Author Biography
FOREWORD
PREFACE
ACKNOWLEDGEMENTS
CONFLICT OF INTEREST
Introduction
Abstract
Biological Vision Systems – Architecture and Signal Characteristics
Abstract
BIOLOGICAL MOTIVATIONS FOR A CHAOTIC APPROACH
VISION SYSTEM PROCESSING ARCHITECTURE
SIGNAL CHARACTERISTICS OF BIOLOGICAL PERCEPTIVE SYSTEMS
CONCLUDING REMARKS
Foundations of Chaos and Fractals
Abstract
INTRODUCING THE PHASE PLOT
ARE COMPUTER VISION IMAGE SEQUENCES CHAOTIC, CHAOS-LIKE, OR PSEUDO-CHAOTIC AND DOES IT MATTER?
THE ‘THERMAL EQUILIBRIUM’ STATE OF AN IMAGE – PURE NOISE
BUILDING THE PHASE PLOT
DETECTION OF CHAOS IN PHASE SPACE THROUGH PROPER DATA LAG SELECTION
MANAGING COMPLEXITY WITHIN THE PHASE PLOT
RECORDING TO WHERE IN THE PHASE PLOT PIXELS MAP
EFFECTS OF NOISE ON THE PHASE PLOTS
AN ASIDE ON ERGODICITY AND WHY IT IS IMPORTANT FOR COMPUTER VISION
CONCLUDING REMARKS
Behavior of Images and Image Sequences in Phase Space
Abstract
INTRODUCING TEMPORAL AND SPATIAL CHAOS
THE EFFECTS OF ILLUMINATION CHANGE IN PHASE SPACE
EFFECTS OF GLOBAL ILLUMINATION CHANGE IN LABORATORY CONDITIONS
EFFECTS OF GLOBAL ILLUMINATION CHANGE DUE TO REAL-WORLD SUNLIGHT CONDITIONS
EFFECTS OF SPATIO-TEMPORALLY VARYING ILLUMINATION CHANGE IN CONTROLLED LABORATORY AND INDOOR CONDITIONS
EFFECTS OF SPATIO-TEMPORALLY VARYING ILLUMINATION CHANGE IN NATURAL SUNLIGHT CONDITIONS
THE EFFECTS OF MOTION OR CONTEXTUAL CHANGE IN PHASE SPACE
PHASE PLOT TRAJECTORIES FOR VARIOUS TYPES OF MOTION AND CONTEXTUAL CHANGE
SIMULTANEOUS PRESENCE OF MOTION AND ILLUMINATION IN PHASE SPACE
DETERMINING TIME LAGS FOR DETECTING MOTION
EFFECTS OF TEXTURE IN PHASE SPACE
DETERMINING SPATIAL LAGS FOR TEXTURE ANALYSIS
EFFECTS OF NOISE ON TEXTURE IN PHASE SPACE
MANAGING COMPLEXITY IN PHASE PLOTS FOR TEXTURE ANALYSIS
AN ASIDE ON THE EFFECTS OF IMAGE QUALITY ON CHAOTIC MEASURES
IMPACT OF SATURATION ON PHASE PLOTS
IMPACT OF CAMERA GAMMA CORRECTIONS ON PHASE PLOTS
IMPACT OF IMAGE FORMATS AND COMPRESSION ON PHASE PLOTS
CONCLUDING REMARKS
Mathematical Measures for Analyzing Phase Space
Abstract
OVERVIEW OF MEASURES OF FRACTALITY
MEASURES OF FRACTALITY IN PHASE SPACE
GLOBAL MORPHOLOGICAL MEASURES OF FRACTALITY
Box Counting Dimension
Information Dimension
Correlation Dimension
Generalized Dimension
Issues Arising with Global Fractal Measures of Multi-fractal Phase Plots
LOCAL MORPHOLOGICAL MEASURES OF FRACTALITY
Holder Exponent Dimension
Local Fractal or Blanket Dimension
ADDITIONAL MEASURES FOR CHARACTERIZING VISION-RELATED PHASE PLOTS
MEASURES OF LACUNARITY OF THE PHASE PLOT
MEASURES ADOPTED FROM CO-OCCURRENCE MATRIX ANALYSES
DIRECTLY CALCULATING THE FRACTAL DIMENSION FROM THE IMAGE DATA - THE LYAPOUNOV EXPONENTS
TECHNIQUES FOR DETECTING COMPACTED ORBITS IN PHASE PLOTS
CONCLUDING REMARKS
Applications to Pre-attentive Vision – Using the Presence of Chaos for Attention Direction
Abstract
THE ATTENTION DIRECTION PROBLEM
A CHAOS-BASED ALGORITHM FOR ATTENTION DIRECTION
TRADITIONAL APPROACHES TO PRE-ATTENTIVE VISION
TYPICAL RESULTS OF APPLYING CHAOS TO ATTENTION DIRECTION
CONCLUDING REMARKS
Applications to Attentive Vision – Chaotic Basins of Attraction for Motion and Contextual Change Segmentation
Abstract
SEGMENTING CHANGING OBJECTS IN SCENES
A CHAOS-BASED ALGORITHM FOR IMAGE SEGMENTATION USING MOTION OR CONTEXTUAL CHANGE
TYPICAL RESULTS FROM APPLYING CHAOS TO IMAGE SEGMENTATION USING MOTION AND CONTEXTUAL CHANGE
CONCLUDING REMARKS
Applications to Attentive Vision – Chaotic Analysis of Texture for Segmentation and Classification
Abstract
OVERVIEW OF TEXTURE PROCESSING
A CHAOS-BASED APPROACH TO THE ANALYSIS OF TEXTURE
A CHAOS-BASED APPROACH TO TEXTURE SEGMENTATION
A CHAOS-BASED APPROACH TO TEXTURE CLASSIFICATION
TYPICAL SEGMENTATION RESULTS OF APPLYING CHAOS TO TEXTURE ANALYSIS
TYPICAL CLASSIFICATION RESULTS OF APPLYING CHAOS TO TEXTURE ANALYSIS
CONCLUDING REMARKS
Applications to Post-Attentive Vision – Employing Chaos for Image Registration and Object Tracking
Abstract
REGISTRATION AND TRACKING
OVERVIEW OF ISSUES RELATED TO IMAGE REGISTRATION
CHARACTERISTICS OF MEASURES FOR REGISTRATION SIMILARITY TESTING
CHARACTERISTICS OF SEARCH SPACES FOR REGISTRATION
BEHAVIOR OF SEARCH SPACES UNDER ILLUMINATION CHANGE
A CHAOS-BASED ALGORITHM FOR REGISTRATION AND TRACKING
TYPICAL RESULTS OF APPLYING CHAOS TO REGISTRATION AND TRACKING
CORRELATION-BASED OBJECT TRACKING USING CHAOS
IMAGE REGISTRATION FOR EGO-MOTION DETECTION USING CHAOS
CONCLUDING REMARKS
More Applications to Post-Attentive Vision – Chaos Theory and Object Recognition
Abstract
RECOGNITION AS AN OPTIMZATION PROBLEM
CHAOS-BASED NEURAL NETWORKS FOR CLASSIFICATION AND OBJECT RECOGNITION
CHAOS-BASED GENETIC ALGORITHMS FOR CLASSIFICATION AND OBJECT RECOGNITION
TYPICAL RESULTS OF APPLYING CHAOS TO OBJECT RECOGNITION
CONCLUDING REMARKS
REFERENCES
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