Bias in Shape Estimation 1st edition by Hui Ji, Cornelia Fermüller – Ebook PDF Instant Download/Delivery. 3540219828, 978-3540219828
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ISBN 10: 3540219828
ISBN 13: 978-3540219828
Author: Hui Ji, Cornelia Fermüller
This paper analyses the uncertainty in the estimation of shape from motion and stereo. It is shown that there are computational limitations of a statistical nature that previously have not been recognized. Because there is noise in all the input parameters, we cannot avoid bias. The analysis rests on a new constraint which relates image lines and rotation to shape. Because the human visual system has to cope with bias as well, it makes errors. This explains the underestimation of slant found in computational and psychophysical experiments, and demonstrated here for an illusory display. We discuss properties of the best known estimators with regard to the problem, as well as possible avenues for visual systems to deal with the bias.
Bias in Shape Estimation 1st Table of contents:
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Introduction
- 1.1 Background and Motivation
- 1.2 Importance of Shape Estimation in Computer Vision and Robotics
- 1.3 Definition and Impact of Bias in Shape Estimation
- 1.4 Objectives and Contributions of the Paper
- 1.5 Structure of the Paper
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Related Work
- 2.1 Shape Estimation Techniques: A Review
- 2.2 Types of Bias in Estimation: Statistical and Systematic Bias
- 2.3 Approaches for Bias Detection and Mitigation in Shape Estimation
- 2.4 Bias in 3D Reconstruction and Computer Vision
- 2.5 Existing Solutions and Limitations
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Fundamentals of Shape Estimation
- 3.1 Overview of Shape Estimation Problems
- 3.2 Geometric Models and Representation of Shapes
- 3.3 Methods of Shape Estimation (e.g., stereo vision, depth sensing, photogrammetry)
- 3.4 Noise and Distortion in Shape Estimation
- 3.5 Sources of Bias in Shape Estimation
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Types of Bias in Shape Estimation
- 4.1 Measurement Bias: Sources and Effects
- 4.2 Model Bias: Parametric Assumptions and Their Consequences
- 4.3 Systematic Bias vs. Random Bias in Estimation Processes
- 4.4 Bias Due to Sensor Limitations (e.g., resolution, calibration errors)
- 4.5 Algorithmic Bias in Shape Reconstruction Techniques
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Quantifying Bias in Shape Estimation
- 5.1 Mathematical Formulation of Bias in Estimation
- 5.2 Error Analysis in Shape Estimation
- 5.3 Statistical Measures for Bias Detection
- 5.4 Experimental Protocols for Bias Evaluation
- 5.5 Metrics for Bias in 3D Shapes: Accuracy, Precision, and Robustness
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Mitigating Bias in Shape Estimation
- 6.1 Preprocessing and Data Calibration to Reduce Bias
- 6.2 Regularization Techniques for Bias Correction
- 6.3 Model Refinement and Adaptation to Account for Bias
- 6.4 Sensor Fusion and Multi-view Methods to Mitigate Bias
- 6.5 Machine Learning Approaches for Bias Compensation
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Experimental Setup and Evaluation
- 7.1 Datasets Used for Shape Estimation and Bias Evaluation
- 7.2 Experimental Setup: Simulation and Real-World Scenarios
- 7.3 Evaluation Metrics for Shape Estimation Bias
- 7.4 Comparison of Bias in Different Shape Estimation Methods
- 7.5 Results of Bias Mitigation Strategies
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Results and Discussion
- 8.1 Visual and Quantitative Evaluation of Bias in Shape Estimation
- 8.2 Impact of Bias on Different Shape Estimation Techniques
- 8.3 Discussion of Bias Mitigation Techniques and Their Effectiveness
- 8.4 Performance Analysis in Challenging Scenarios (e.g., low-quality sensors, occlusions)
- 8.5 Limitations and Trade-offs in Bias Mitigation Approaches
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Applications of Shape Estimation with Bias Considerations
- 9.1 Robotics and Autonomous Navigation
- 9.2 3D Modeling and Virtual Reality
- 9.3 Medical Imaging and Shape Reconstruction
- 9.4 Object Recognition and Tracking
- 9.5 Industrial Applications: Manufacturing and Quality Control
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Challenges and Future Directions
- 10.1 Handling Complex and Noisy Data in Shape Estimation
- 10.2 Real-Time Bias Mitigation for On-the-Fly Shape Estimation
- 10.3 Generalization of Bias Mitigation Techniques Across Different Domains
- 10.4 Future Research Directions in Bias Detection and Correction
- 10.5 Integrating Bias Awareness into Machine Learning Models for Shape Estimation
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Conclusion
- 11.1 Summary of Key Findings
- 11.2 Practical Implications for Shape Estimation Systems
- 11.3 Contributions to the Field of Computer Vision and Robotics
- 11.4 Final Remarks and Future Work
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