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Table of contents
1 State-of-the-Art
1.1 Active Contours
1.1.1 Edge-Based Active Contours
1.1.2 Region-Based Active Contours
1.1.3 Active Contours with Shape Constraints
1.1.4 Summary
1.2 Road Extraction
1.2.1 Road Characteristics
1.2.2 Active Contours
1.2.3 Multiscale and Multiresolution Analysis
1.2.4 Dynamic Programming
1.2.5 Morphological Methods
1.2.6 Markov Random Fields and Marked Point Processes
1.2.7 Recursive Filtering
1.2.8 Support Vector Machines
1.2.9 Utilization of New Sensor Data
1.2.10 Other Methods
1.2.11 Summary
1.3 Conclusion
2 Higher-Order Active Contours and Phase Fields
2.1 A General Framework for Image Segmentation
2.2 Summary of Higher-Order Active Contours and Phase Fields
2.2.1 Higher-Order Active Contours
2.2.2 Phase Field Models
2.3 Stability Analysis of the Standard HOAC Total Prior Model
2.3.1 Definition of a Bar
2.3.2 Basic Phase Field Term of a Bar
2.3.3 Standard Phase Field HOAC Term of a Bar
2.3.4 Standard HOAC Total Prior Model of a Bar
2.4 Overall Model for Linear Network Extraction
2.4.1 Data Energy
2.4.2 Optimization and Parameter Setting
2.5 Conclusion
3 Multi resolution Analysis of the Primary Model
3.1 Multiresolution Analysis and Wavelets
3.1.1 Definition of Wavelet Based Multiresolution Analysis
3.1.2 Haar Multiresolution Analysis
3.2 Model Definition at Multiple Resolutions
3.2.1 Multiresolution Data Model
3.2.2 Multiresolution Framework
3.3 Experimental Results and Comparisons
3.3.1 Results Using the Single-Resolution Model
3.3.2 Results Using the Multiresolution Model
3.3.3 Results Using the Multiresolution Framework and Comparisons
3.4 Conclusion
4 GIS Specific Prior for Map Updating
4.1 Introduction
4.2 Specific Prior Energy
4.3 Experimental Results and Comparisons
4.3.1 Results Using the GIS-Based HOAC Model
4.3.2 Evaluation and Comparison
4.4 Conclusion
5 Modeling Shape for Network Extraction
5.1 Introduction
5.2 Nonlinear Nonlocal HOAC Prior Energy
5.2.1 Contour Model Definition
5.2.2 Phase Field Model Definition
5.2.3 Stability Analysis of the Nonlinear Nonlocal HOAC Total Prior Model
5.3 Linear Nonlocal HOAC Prior Energy
5.3.1 Contour Model Definition
CONTENTS v
5.3.2 Phase Field Model Definition
5.3.3 Stability Analysis of the Linear Nonlocal HOAC Total Prior Model
5.4 Experimental Results and Comparisons
5.4.1 Nonlinear Nonlocal Overall Model
5.4.2 Linear Nonlocal Overall Model
5.5 Conclusion
Conclusion
A Stability Calculations
A.1 Energy Terms of a Bar
A.1.1 Basic Phase Field Term
A.1.2 Standard Phase Field HOAC Term
A.1.3 Nonlinear Nonlocal Phase Field Term
A.1.4 Linear Nonlocal Phase Field Term
A.2 Model Energy per Unit Length
A.2.1 Standard HOAC Total Prior Model
A.2.2 Nonlinear Nonlocal HOAC Total Prior Model
A.2.3 Linear Nonlocal HOAC Total Prior Model
B Evolution Equations of New HOAC Prior Energies
B.1 Nonlinear Nonlocal HOAC Prior Energy
B.2 Linear Nonlocal HOAC Prior Energy
C Another Nonlinear Nonlocal HOAC Prior Term
C.1 Definition of ˜ENL
C.2 Derivative of ˜E NL
D Another Type of Interaction Function
E Summary of Other Methods Used in Our Comparisons
E.1 Method by Wang
E.2 Method by Yu
E.3 Method by Bailloeul
F Publications and Scientific Activities of the Author
Bibliography
