Application of Optical Fourier Transforms
- 1st Edition - November 12, 2012
- Editor: Henry Stark
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 1 4 2 7 7 - 0
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 4 5 9 3 - 0
Applications of Optical Fourier Transforms is a 12-chapter text that discusses the significant achievements in Fourier optics. The opening chapters discuss the Fourier transform… Read more
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Request a sales quoteApplications of Optical Fourier Transforms is a 12-chapter text that discusses the significant achievements in Fourier optics. The opening chapters discuss the Fourier transform property of a lens, the theory and applications of complex spatial filters, and their application to signal detection, character recognition, water pollution monitoring, and other pattern recognition problems. These topics are followed by a computation of the statistical characteristics of the Fourier irradiance patterns and the hybrid systems that combine the best of optics, analog electronics, and digital computers to solve problems. The subsequent chapters examine the pulse-Doppler and chirp signals, the significance of signal-to-noise power spectrum in the information content measurement of photographic film and in image quality determinations. This text also considers the application of nonlinear systems and their components to Fourier optics. The discussions then shift to the application of Fourier methods to the study of spatial information transmission through the human visual system, as well as the application of coherent techniques to vision research. The concluding chapters deal with the well-known pattern recognition problems related to the digital signal processing community. These chapters also look into a general theoretical model of light field propagation from input to output. This book will be of value to optical scientists and vision researchers.
List of Contributors
Preface
Acknowledgments
Chapter 1 Theory and Measurement of the Optical Fourier Transform
1.1 Plane Waves
1.2 The Diffraction Integral
1.3 Fourier Transform Property of a Lens
1.4 The Sample Spectrum
1.5 Stability and Fidelity
1.6 Optimum Smoothing of the Spectrum with a Finite-Size Lag Window
1.7 Smoothing with a Finite-Bandwidth Frequency Window
1.8 An Optimum Finite-Bandwidth Frequency Window
1.9 Estimating the Spectrum at Low Spatial Frequencies and at the Origin
1.10 Extrapolating the Fourier Spectrum of Spatially Bounded Objects
1.11 Conclusion
References
Chapter 2 Pattern Recognition via Complex Spatial Filtering
Introduction
2.1 Historical Overview
2.2 Complex Spatial Filtering
2.3 Pattern Recognition via Matched Filtering
2.4 Applications of Spatial Filtering
2.5 Conclusion
References
Chapter 3 Particle Identification and Counting by Fourier-Optical Pattern Recognition
Introduction
3.1 The Fourier-Optical Approach
3.2 The Fourier Spectrum of Randomly Assorted Scatterers
3.3 Statistical Characteristics of Irradiance Patterns
3.4 Data Inversion: General Considerations
3.5 Applicability of the Model; Stability of Estimates
3.6 Implementing the Inversion: Hybrid Methods
3.7 Implementing the Inversion Optically
3.8 Experimental Investigations and Results
3.9 Summary and Conclusions
References
Chapter 4 Signal Processing Using Hybrid Systems
Introduction
4.1 A Generalized Hybrid System and Its Design Considerations
4.2 Hybrid Systems Based on Optical Power Spectrum Measurements
4.3 Hybrid Systems Based on Spatial Filtering
4.4 Hybrid Systems Using Incoherent Light
4.5 Summary
Appendix
References
Chapter 5 Fourier Optics and Radar Signal Processing
5.1 Introduction
5.2 Radar Signal Processing
5.3 Optical Processors for Radar Signals
References
Chapter 6 Application of Optical Power Spectra to Photographic Image Measurement
6.1 Introduction
6.2 Power Spectral Measurements
6.3 Experimental Configuration
6.4 Generation of the SNPS
6.5 Effect of Film Tube and Sampling Area
6.6 Description of Granularity
6.7 Conclusion
References
Chapter 7 Fourier Optics and SAW Devices
7.1 Introduction
7.2 Surface Acousto-Optic Interaction
7.3 Applications
7.4 Conclusion
References
Chapter 8 Space-Variant Optical Systems and Processing
8.1 Introduction
8.2 Representation and Analysis of Space-Variant Linear Systems
8.3 Examples of Space Variance
8.4 Systems for Space-Variant Processing of 1-D Signals
8.5 Systems for Space-Variant Processing of 2-D Signals
8.6 Concluding Remarks
References
Chapter 9 Fourier Optics in Nonlinear Signal Processing
9.1 Introduction
9.2 Characteristics of Nonlinear Systems
9.3 Applications of Nonlinearities
9.4 Point Nonlinear Systems
9.5 Composite Nonlinear Systems
9.6 Summary
References
Chapter 10 Optical Information Processing and the Human Visual System
10.1 Spatial Information Processing in the Visual System
10.2 Measurement of the Contrast Sensitivity Function of the Visual Pathway by Generation of Sinusoidal Patterns on the Retina
10.3 Measurement of the Optics of the Eye by Generation of a Speckle Pattern on the Retina
10.4 Applications of Two-Dimensional Spatial Transformations in Vision Research
10.5 Image Science and Vision
10.6 Summary
References
Chapter 11 Statistical Pattern Recognition Using Optical Fourier Transform Features
11.1 Introduction
11.2 An Optical-Digital Computer for Texture Analysis
11.3 Feature Extraction and Classification
11.4 Pattern Recognition of Coal Workers' Pneumoconiosis
11.5 A Four-Class Texture Problem: The ODC Versus the All-Digital Approach
11.6 Summary
References
Chapter 12 Incoherent Optical Processing
12.1 Introduction
12.2 General Theoretical Analysis
12.3 Spatially Incoherent Processing
12.4 Applications of Spatially Incoherent Processing
12.5 Temporally Incoherent Processing
12.6 Applications of Temporally Incoherent Processing
12.7 Conclusion
References
Index
- No. of pages: 564
- Language: English
- Edition: 1
- Published: November 12, 2012
- Imprint: Academic Press
- Paperback ISBN: 9780124142770
- eBook ISBN: 9780323145930
HS
Henry Stark
Affiliations and expertise
Illinois Institute of TechnologyRead Application of Optical Fourier Transforms on ScienceDirect