Statistical Optimization For Geometric Computation: Theory And Practice - Brossura

Kanatani, Kenichi

Brossura

ISBN 10: 0486443086 ISBN 13: 9780486443089

Casa editrice: Dover Pubns, 2005

Riassunto

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.

Su questo libro

Contenuti:

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

Product Description:

This text discusses the mathematical foundations of statistical inference for building 3-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. 1996 edition.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2005
• ISBN 10: 0486443086
• ISBN 13: 9780486443089
• Rilegatura: Copertina flessibile
• Numero di pagine: 509