Geometric Constraints for Object Detection and Delineation

1. Introduction.- 1.1 A survey of previous research.- 1.2 An approach for generic object detection and delineation.- 1.3 The role of geometry and structural cues.- 1.4 Main contributions of this book.- 2. Object Detection and Delineation.- 2.1 Modeling image geometry.- 2.2 Primitives: generic object models.- 2.3 Bounding hypothesis space.- 2.4 Modeling 3D effects.- 2.5 Evaluating performance.- 2.6 System structure.- 3. Primitives and Vanishing Points.- 3.1 Selecting primitives.- 3.2 Rectangular and triangular volumes.- 3.3 Previous methods for vanishing point detection.- 3.4 Primitive-based vanishing point detection.- 3.5 Edge error modeling.- 3.6 Performance evaluation and analysis.- 3.7 A summary of vanishing point analysis.- 4. Geometric Constraints for Hypothesis Generation.- 4.1 Corner detection.- 4.2 Corner constraints.- 4.3 2—corners.- 4.4 Performance evaluation of corner generation.- 4.5 Generating primitives from intermediate features.- 4.6 A summary of hypothesis generation.- 5. Combining and Verifying Primitives.- 5.1 Combining primitives in image space.- 5.2 Exploiting hypothesis lineage.- 5.3 From image space primitives to object space models.- 5.4 Primitive extension: extrusion methods.- 5.5 Hypothesis verification.- 5.6 General aspects of primitive manipulation and verification.- 6. Performance Evaluation and Analysis.- 6.1 Selecting evaluation metrics.- 6.2 Reference scene model compilation.- 6.3 Comparative performance evaluation methodology.- 6.4 Baseline performance results and comparative analysis.- 6.5 Image/scene complexity and its impact on performance.- 6.6 Detection and delineation performance case studies.- 6.7 Performance evaluation: conclusions.- 7. Conclusions.- 7.1 Research summary.- 7.2 Future research and applications.- Appendices.- A-Mathematical Tools.- A.1 Coordinate systems and transformations.- A.2 The Gaussian sphere.- A.3 Vanishing points.- A.4 Backprojection.- A.5 Finite image extent bias.- A.6 2D determinant tests.- B- Experimental Results.- References.- About the Author.