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Nonlinear Image Processing - 1st Edition - ISBN: 9780125004510, 9780080512822

Nonlinear Image Processing

1st Edition

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Author: Giovanni Sicuranza
Editor: Sanjit Mitra
eBook ISBN: 9780080512822
Imprint: Academic Press
Published Date: 5th September 2000
Page Count: 455
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Table of Contents

Preface

  1. "Analysis and Optimization of Weighted Order Statistics and Stack Filters"
    S. Siren, P. Kuosmainen, K. Egiazarian, M. Gabbouj and J. Astola

  2. 1 Introduction

  3. 2 Median and Order Statistic Filters

  4. 3 Stack Filters

  5. 4 Image Processing Applications

  6. 5 Summary

  7. "Image Enhancement and Analysis with Weighted Medians"

    G. Arce and J. L. Paredes
  8. 1 Introduction

  9. 2 Weighted Median Smoothers and Filters

  10. 3 Image Denoising

  11. 4 Image Zooming

  12. 5 Image Sharpening

  13. 6 Optimal Frequency Selection WM Filtering

  14. 7 Edge Detection

  15. 8 Conclusion

  16. "Spatial-Rank Order Selection Filters"

    R. Hardie and K. Barner
  17. 1 Introduction

  18. 2 Selection Filters and Spatial-Rank Ordering

  19. 3 Spatial-Rank Order Selection Filters

  20. 4 Optimization

  21. 5 Applications

  22. 6 Future Directions

  23. "Signal-Dependent Rank-Ordered Mean (SD-ROM) Filter" E. Abreu

  24. 1 Introduction

  25. 2 Impulse Noise Model

  26. 3 Definitions

  27. 4 The SD-ROM Filter

  28. 5 Generalized SD-ROM Method

  29. 6 Experimental Results

  30. 7 Restoration of Images Corrupted by Streaks

  31. 8 Conclusing Remarks

  32. "Nonlinear Mean Filters and Their Applications in Image Filtering and Edge Detection" M. Pappas and I. Pitas

  33. 1 Introduction

  34. 2 Nonlinear Mean Filters

  35. 3 Signal-Dependent Filtering by Nonlinear Means

  36. 4 Edge Detectors Based on Nonlinear Means

  37. 5 Grayscale Morphology Using Lp Mean Filters

  38. 6 Ultrasonic Umage Processing Using L2 Men Filters

  39. 7 Sorting Networks Using Lp Mean Comparators

  40. 8 Edge Preserving Filtering by Combining Nonlinear Means and Order Statistics

  41. "Two-Dimensional Teager Filters" S. Thurnhofer

  42. 1 Introduction

  43. 2 Discrete Volterra Series and Properties

  44. 3 Interpretation of Frequency Responses

  45. 4 The Teager Algorithm and One-Dimensional Extensions

  46. 5 Spectrum of the Output Signal

  47. 6 Mean-Weighted Highpass Filters

  48. 7 Least-Squares Design of Edge Extracting Filters

  49. 8 Summary

  50. 9 Appendix

  51. "Polynomial and Rational Operators for Image Processing and Analysis" G. Ramponi

  52. 1 Introduction

  53. 2 Theoretical Survey of Polynomial and Rational Filters

  54. 3 Applications of Polynomial Filters

  55. 4 Applications of Rational Filters

  56. 5 Conclusions and Remaining Issues

  57. "Nonlinear Partial Differential Equations in Image Processing" G. Sapiro

  58. 1 Introduction

  59. 2 Segmentation of Scalar and Multivalued Images

  60. 3 Nonlinear PDEs in General Manifolds: Harmonic Maps and Direction Diffusion

  61. "Region-Based Filtering of Images and Video Sequences: a Morphological Viewpoint" P. Salembier

  62. 1 Introduction

  63. 2 Classical Filtering Approaches

  64. 3 Connected Operators

  65. 4 Connected Operators Based on Reconstruction Processes

  66. 5 Connected Operators Based on Region-Tree Pruning

  67. 6 Conclusions

  68. "Differential Morphology" P. Maragos

  69. 1 Introduction

  70. 2 2D Morphological Systems and Slope Transforms

  71. 3 PDEs for Morphological Image Analysis

  72. 4 Curve Evolution

  73. 5 Distance Tranforms

  74. 6 Eikonal PDE and Distance Propagation

  1. "Coordinate Logic Filters" B.G. Mertzios and K. Tsirikolias

  2. 1 Introduction

  3. 2 Coordinate Logic Operations on Digital Signals

  4. 3 Derivation of the Coordinate Logic Filters

  5. 4 Properties of Coordinate Logic Filters

  6. 5 Morphological Filtering Using Coordinate Logic Operations on Quantized Images

  7. 6 Image Analysis and Pattern Recognition Applications

  8. 7 Concluding Remarks

  9. "Nonlinear Filters Based on Fuzzy Models" F. Russo

  10. 1 Introduction

  11. 2 Fuzzy Models

  12. 3 Fuzzy Weighted Mean (FWM) Filters

  13. 4 FIRE Filters

  14. 5 Evolutionary Neural Fuzzy Filters: A Case Study

  15. 6 Concluding Remarks Future Trends

  16. "Digital Halftoning" G. Arce and D. Lau

  17. 1 Introduction

  18. 2 Halftone Statistics

  19. 3 Blue-Noise Dithering

  20. 4 Green-Noise Dithering

  21. 5 Conclusions

  22. "Intrinsic Dimensionality: Nonlinear Image Operators and Higher Order Statistics" C. Zetzsche and G. Krieg

  23. 1 Introduction

  24. 2 Transdisciplinary Relevance of Intrinsic Dimensionality

  25. 3 i2D-Selective Nonlinear Operators

  26. 4 Frequence Design Methods for i2D Operators

  27. 5 i2D Operators and Higher-Order Statistics

  28. 6 Discussions

INDEX


Description

This state-of-the-art book deals with the most important aspects of non-linear imaging challenges. The need for engineering and mathematical methods is essential for defining non-linear effects involved in such areas as computer vision, optical imaging, computer pattern recognition, and industrial automation challenges.

Key Features

  • Presents the latest developments in a variety of filter design techniques and algorithms
  • Contains essential information for development of Human Vision Systems (HVS)
  • Provides foundations for digital imaging and image capture technology

Readership

Electrical and computer engineers.


Details

No. of pages:
455
Language:
English
Copyright:
© Academic Press 2001
Published:
5th September 2000
Imprint:
Academic Press
eBook ISBN:
9780080512822

Reviews

"The book considers the following filter families, with varying emphasis, according to popularity and impact in image processing tasks:

  • honomorphic filters, relying on a generalized superposition principle
  • nonlinear mean filters, using nonlinear definitions of means
  • morphological filters, based on geometrical rather than analytical properties
  • order statistics filters, based on ordering properties of the input samples
  • polynomial filters, using polynomial expressions in the input and output samples
  • fuzzy filters, applying fuzzy reasoning to model the uncertainty typical of some image processing issues
  • nonlinear operations modeled in terms of nonlinear partial differential equations."
--IEEE SIGNAL PROCESSING MAGAZINE, January 2001

Ratings and Reviews


About the Author

Giovanni Sicuranza

Affiliations and Expertise

University of Trieste, Italy

About the Editor

Sanjit Mitra

Affiliations and Expertise

University of California, Santa Barbara, U.S.A.