Omnidirectional Vision Unified Model Using Conformal Geometry 1st edition by Eduardo Bayro Corrochano,Carlos Lopez Franco ISBN 3540219842 9783540219842

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ISBN 10:       3540219842
ISBN 13: 978-3540219842
Author:     Eduardo Bayro Corrochano,Carlos López Franco    
 

Omnidirectional Vision Unified Model Using Conformal Geometry 1st Table of contents:

• Introduction

  • 1.1 Background and Motivation
  • 1.2 Omnidirectional Vision Systems: Challenges and Opportunities
  • 1.3 The Role of Conformal Geometry in Vision Modeling
  • 1.4 Objectives and Contributions of the Paper
  • 1.5 Structure of the Paper

• Related Work

  • 2.1 Overview of Omnidirectional Vision Models
  • 2.2 Geometric Models in Vision Systems
  • 2.3 Use of Conformal Geometry in Computer Vision
  • 2.4 Limitations of Current Omnidirectional Vision Approaches
  • 2.5 Integrating Conformal Geometry with Omnidirectional Vision

• Fundamentals of Omnidirectional Vision

  • 3.1 Principles of Omnidirectional Imaging
  • 3.2 Types of Omnidirectional Cameras (e.g., Catadioptric, Panoramic)
  • 3.3 Image Representation and Projection Models
  • 3.4 Geometric Challenges in Omnidirectional Vision
  • 3.5 Calibration and Distortion Correction

• Introduction to Conformal Geometry

  • 4.1 Basics of Conformal Geometry and Its Applications
  • 4.2 Conformal Mappings and Their Properties
  • 4.3 The Role of Conformal Geometry in 3D Vision
  • 4.4 Relation to Traditional Euclidean Geometry
  • 4.5 Computational Methods in Conformal Geometry

• Unified Model for Omnidirectional Vision Using Conformal Geometry

  • 5.1 Overview of the Proposed Unified Model
  • 5.2 Modeling Omnidirectional Vision with Conformal Transformations
  • 5.3 Geometric Representation of the Imaging Process
  • 5.4 Mapping 3D World to Omnidirectional Image Using Conformal Geometry
  • 5.5 Advantages of a Unified Conformal Model in Vision Systems

• Calibration and Alignment Using Conformal Geometry

  • 6.1 Calibration Techniques for Omnidirectional Vision Systems
  • 6.2 Conformal Geometry for Camera Calibration
  • 6.3 Alignment of Omnidirectional Images and World Coordinates
  • 6.4 Methods for Correcting Geometrical Distortions in Images
  • 6.5 Accuracy and Robustness of the Calibration Process

• Applications of the Unified Model in Omnidirectional Vision

  • 7.1 Object Detection and Recognition in Omnidirectional Images
  • 7.2 3D Scene Reconstruction from Omnidirectional Data
  • 7.3 Motion Estimation and Tracking with Omnidirectional Cameras
  • 7.4 Navigation and Localization Using Omnidirectional Vision
  • 7.5 Robotics and Autonomous Systems

• Experimental Setup and Evaluation

  • 8.1 Description of the Omnidirectional Camera Systems Used
  • 8.2 Data Collection and Preprocessing for Evaluation
  • 8.3 Evaluation Metrics: Accuracy, Efficiency, and Robustness
  • 8.4 Results from Calibration and Alignment Experiments
  • 8.5 Performance of the Unified Model in Various Applications

• Results and Discussion

  • 9.1 Visual Results of Omnidirectional Vision Tasks
  • 9.2 Comparison with Other Omnidirectional Vision Models
  • 9.3 Impact of Conformal Geometry on Image Quality and Accuracy
  • 9.4 Performance Analysis in Real-World Scenarios
  • 9.5 Potential Limitations and Areas for Improvement

• Challenges and Future Directions

  • 10.1 Handling Non-ideal Data and Sensor Imperfections
  • 10.2 Real-Time Processing of Omnidirectional Vision Data
  • 10.3 Expanding the Unified Model for Dynamic Environments
  • 10.4 Integration with Other Vision Techniques (e.g., Stereo Vision, SLAM)
  • 10.5 Future Research Directions in Conformal Geometry for Vision

• Conclusion

  • 11.1 Summary of Contributions and Key Findings
  • 11.2 Practical Implications of the Unified Model
  • 11.3 Future Prospects in Omnidirectional Vision Systems

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