Statistical Optimization for Geometric Computation: Theory and Practice

Author:   Kenichi Kanatani
Publisher:   Dover Publications Inc.
ISBN:  

9780486443089


Pages:   528
Publication Date:   26 July 2005
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Statistical Optimization for Geometric Computation: Theory and Practice


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Overview

This text for graduate students discusses the mathematical foundations of statistical inference for building three-dimensional models from image and sensor data that contain noise--a task involving autonomous robots guided by video cameras and sensors.The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. The numerous mathematical prerequisites for developing the theories are explained systematically in separate chapters. These methods range from linear algebra, optimization, and geometry to a detailed statistical theory of geometric patterns, fitting estimates, and model selection. In addition, examples drawn from both synthetic and real data demonstrate the insufficiencies of conventional procedures and the improvements in accuracy that result from the use of optimal methods.

Full Product Details

Author:   Kenichi Kanatani
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.70cm , Height: 2.80cm , Length: 21.30cm
Weight:   0.544kg
ISBN:  

9780486443089


ISBN 10:   0486443086
Pages:   528
Publication Date:   26 July 2005
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Introduction 2. Fundamentals of Linear Algebra 3. Probabilities and Statistical Estimation 4. Representation of Geometric Objects 5. Geometric Correction 6. 3-D Computation by Stereo Vision 7. Parametric Fitting 8. Optimal Filter 9. Renormalization 10. Applications of Geometric Estimation 11. 3-D Motion Analysis 12. 3-D Interpretation of Optical Flow 13. Information Criterion for Model Selection 14. General Theory of Geometric Estimation References Index

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