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Nonlinear Image Processing

editors, Sanjit K. Mitra, Giovanni L. Sicuranza
Format
Book
Published
San Diego, CA ; London : Academic Press, c2001.
Language
English
Series
Academic Press Series in Communications, Networking and Multimedia
ISBN
0125004516
Contents
  • 1 Analysis and Optimization of Weighted Order Statistic and Stack Filters / S. Peltonen, P. Kuosmanen, K. Egiazarian, M. Gabbouj, J. Astola 1
  • 1.2 Median and Order Statistic Filters 1
  • 1.3 Stack Filters 2
  • 1.4 Image Processing Applications 21
  • 2 Image Enhancement and Analysis with Weighted Medians / G. Arce, J. Paredes 27
  • 2.2 Weighted Median Smoothers and Filters 28
  • 2.3 Image Denoising 45
  • 2.4 Image Zooming 49
  • 2.5 Image Sharpening 52
  • 2.6 Optimal Frequency Selection WM Filtering 58
  • 2.7 Edge Detection 62
  • 3 Spatial-Rank Order Selection Filters / K. Barner, R. Hardie 69
  • 3.2 Selection Filters and Spatial-Rank Ordering 72
  • 3.3 Spatial-Rank Order Selection Filters 81
  • 3.4 Optimization 94
  • 3.5 Applications 96
  • 3.6 Future Directions 105
  • 4 Signal-Dependent Rank-Ordered-Mean (SD-ROM) Filter / E. Abreu 111
  • 4.2 Impulse Noise Model 112
  • 4.4 SD-ROM Filter 114
  • 4.5 Generalized SD-ROM Method 116
  • 4.6 Experimental Results 121
  • 4.7 Restoration of Images Corrupted by Streaks 126
  • 5 Nonlinear Mean Filters and Their Applications in Image Filtering and Edge Detection / C. Kotropoulos, M. Pappas, I. Pitas 135
  • 5.2 Nonlinear Mean Filters 136
  • 5.3 Signal-Dependent Noise Filtering by Nonlinear Means 140
  • 5.4 Edge Detectors Based on Nonlinear Means 141
  • 5.5 Grayscale Morphology Using L[subscript p] Mean Filters 142
  • 5.6 Ultrasonic Image Processing Using L[subscript 2] Mean Filters 147
  • 5.7 Sorting Networks Using L[subscript p] Mean Comparators 157
  • 5.8 Edge Preserving Filtering by Combining Nonlinear Means and Order Statistics 160
  • 6 Two-Dimensional Teager Filters / S. Thurnhofer 167
  • 6.2 Discrete Volterra Series and Properties 167
  • 6.3 Interpretation of Frequency Responses 171
  • 6.4 Teager Algorithm and One-Dimensional Extensions 172
  • 6.5 Spectrum of the Output Signal 177
  • 6.6 Mean-Weighted Highpass Filters 179
  • 6.7 Least-Squares Design of Edge Extracting Filters 185
  • 7 Polynomial and Rational Operators for Image Processing and Analysis / G. Ramponi 203
  • 7.2 Theoretical Survey of Polynomial and Rational Filters 204
  • 7.3 Applications of Polynomial Filters 208
  • 7.4 Applications of Rational Filters 214
  • 8 Nonlinear Partial Differential Equations in Image Processing / G. Sapiro 225
  • 8.2 Segmentation of Scalar and Multivalued Images 228
  • 8.3 Nonlinear PDEs in General Manifolds: Harmonic Maps and Direction Diffusion 235
  • 9 Region-Based Filtering of Images and Video Sequences: A Morphological Viewpoint / P. Salembier 249
  • 9.2 Classical Filtering Approaches 251
  • 9.3 Connected Operators 254
  • 9.4 Connected Operators Based on Reconstruction Processes 256
  • 9.5 Connected Operators Based on Region-Tree Pruning 264
  • 10 Differential Morphology / P. Maragos 289
  • 10.2 2D Morphological Systems and Slope Transforms 294
  • 10.3 PDEs for Morphological Image Analysis 300
  • 10.4 Curve Evolution 308
  • 10.5 Distance Transforms 310
  • 10.6 Eikonal PDE and Distance Propagation 318
  • 11 Coordinate Logic Filters: Theory and Applications in Image Analysis / B. Mertzios, K. Tsirikolias 331
  • 11.2 Coordinate Logic Operations on Digital Signals 333
  • 11.3 Derivation of the Coordinate Logic Filters 337
  • 11.4 Properties of Coordinate Logic Filters 339
  • 11.5 Morphological Filtering Using Coordinate Logic Operations on Quantized Images 340
  • 11.6 Image Analysis and Pattern Recognition Applications 342
  • 12 Nonlinear Filters Based on Fuzzy Models / F. Russo 355
  • 12.2 Fuzzy Models 356
  • 12.3 Fuzzy Weighted Mean (FWM) Filters 359
  • 12.4 FIRE Filters 363
  • 12.5 Evolutionary Neural Fuzzy Filters: A Case Study 366
  • 13 Digital Halftoning / D. Lau, G. Arce 375
  • 13.2 Halftone Statistics 381
  • 13.3 Blue-Noise Dithering 385
  • 13.4 Green-Noisei Dithering 390
  • 14 Intrinsic Dimensionality: Nonlinear Image Operators and Higher-Order Statistics / C. Zetzsche, G. Krieger 403
  • 14.2 Transdisciplinary Relevance of Intrinsic Dimensionality 406
  • 14.3 i2D-Selective Nonlinear Operators 413
  • 14.4 Frequency Design Methods for i2D Operators 421
  • 14.5 i2D Operators and Higher-Order Statistics 432.
Description
xv, 455 p. : ill. (some col.) ; 26 cm.
Notes
Includes bibliographical references and index.
Technical Details
  • Access in Virgo Classic
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    g| 1 t| Analysis and Optimization of Weighted Order Statistic and Stack Filters / r| S. Peltonen, P. Kuosmanen, K. Egiazarian, M. Gabbouj, J. Astola g| 1 -- g| 1.2 t| Median and Order Statistic Filters g| 1 -- g| 1.3 t| Stack Filters g| 2 -- g| 1.4 t| Image Processing Applications g| 21 -- g| 2 t| Image Enhancement and Analysis with Weighted Medians / r| G. Arce, J. Paredes g| 27 -- g| 2.2 t| Weighted Median Smoothers and Filters g| 28 -- g| 2.3 t| Image Denoising g| 45 -- g| 2.4 t| Image Zooming g| 49 -- g| 2.5 t| Image Sharpening g| 52 -- g| 2.6 t| Optimal Frequency Selection WM Filtering g| 58 -- g| 2.7 t| Edge Detection g| 62 -- g| 3 t| Spatial-Rank Order Selection Filters / r| K. Barner, R. Hardie g| 69 -- g| 3.2 t| Selection Filters and Spatial-Rank Ordering g| 72 -- g| 3.3 t| Spatial-Rank Order Selection Filters g| 81 -- g| 3.4 t| Optimization g| 94 -- g| 3.5 t| Applications g| 96 -- g| 3.6 t| Future Directions g| 105 -- g| 4 t| Signal-Dependent Rank-Ordered-Mean (SD-ROM) Filter / r| E. Abreu g| 111 -- g| 4.2 t| Impulse Noise Model g| 112 -- g| 4.4 t| SD-ROM Filter g| 114 -- g| 4.5 t| Generalized SD-ROM Method g| 116 -- g| 4.6 t| Experimental Results g| 121 -- g| 4.7 t| Restoration of Images Corrupted by Streaks g| 126 -- g| 5 t| Nonlinear Mean Filters and Their Applications in Image Filtering and Edge Detection / r| C. Kotropoulos, M. Pappas, I. Pitas g| 135 -- g| 5.2 t| Nonlinear Mean Filters g| 136 -- g| 5.3 t| Signal-Dependent Noise Filtering by Nonlinear Means g| 140 -- g| 5.4 t| Edge Detectors Based on Nonlinear Means g| 141 -- g| 5.5 t| Grayscale Morphology Using L[subscript p] Mean Filters g| 142 -- g| 5.6 t| Ultrasonic Image Processing Using L[subscript 2] Mean Filters g| 147 -- g| 5.7 t| Sorting Networks Using L[subscript p] Mean Comparators g| 157 -- g| 5.8 t| Edge Preserving Filtering by Combining Nonlinear Means and Order Statistics g| 160 -- g| 6 t| Two-Dimensional Teager Filters / r| S. Thurnhofer g| 167 -- g| 6.2 t| Discrete Volterra Series and Properties g| 167 -- g| 6.3 t| Interpretation of Frequency Responses g| 171 -- g| 6.4 t| Teager Algorithm and One-Dimensional Extensions g| 172 -- g| 6.5 t| Spectrum of the Output Signal g| 177 -- g| 6.6 t| Mean-Weighted Highpass Filters g| 179 -- g| 6.7 t| Least-Squares Design of Edge Extracting Filters g| 185 -- g| 7 t| Polynomial and Rational Operators for Image Processing and Analysis / r| G. Ramponi g| 203 -- g| 7.2 t| Theoretical Survey of Polynomial and Rational Filters g| 204 -- g| 7.3 t| Applications of Polynomial Filters g| 208 -- g| 7.4 t| Applications of Rational Filters g| 214 -- g| 8 t| Nonlinear Partial Differential Equations in Image Processing / r| G. Sapiro g| 225 -- g| 8.2 t| Segmentation of Scalar and Multivalued Images g| 228 -- g| 8.3 t| Nonlinear PDEs in General Manifolds: Harmonic Maps and Direction Diffusion g| 235 -- g| 9 t| Region-Based Filtering of Images and Video Sequences: A Morphological Viewpoint / r| P. Salembier g| 249 -- g| 9.2 t| Classical Filtering Approaches g| 251 -- g| 9.3 t| Connected Operators g| 254 -- g| 9.4 t| Connected Operators Based on Reconstruction Processes g| 256 -- g| 9.5 t| Connected Operators Based on Region-Tree Pruning g| 264 -- g| 10 t| Differential Morphology / r| P. Maragos g| 289 -- g| 10.2 t| 2D Morphological Systems and Slope Transforms g| 294 -- g| 10.3 t| PDEs for Morphological Image Analysis g| 300 -- g| 10.4 t| Curve Evolution g| 308 -- g| 10.5 t| Distance Transforms g| 310 -- g| 10.6 t| Eikonal PDE and Distance Propagation g| 318 -- g| 11 t| Coordinate Logic Filters: Theory and Applications in Image Analysis / r| B. Mertzios, K. Tsirikolias g| 331 -- g| 11.2 t| Coordinate Logic Operations on Digital Signals g| 333 -- g| 11.3 t| Derivation of the Coordinate Logic Filters g| 337 -- g| 11.4 t| Properties of Coordinate Logic Filters g| 339 -- g| 11.5 t| Morphological Filtering Using Coordinate Logic Operations on Quantized Images g| 340 -- g| 11.6 t| Image Analysis and Pattern Recognition Applications g| 342 -- g| 12 t| Nonlinear Filters Based on Fuzzy Models / r| F. Russo g| 355 -- g| 12.2 t| Fuzzy Models g| 356 -- g| 12.3 t| Fuzzy Weighted Mean (FWM) Filters g| 359 -- g| 12.4 t| FIRE Filters g| 363 -- g| 12.5 t| Evolutionary Neural Fuzzy Filters: A Case Study g| 366 -- g| 13 t| Digital Halftoning / r| D. Lau, G. Arce g| 375 -- g| 13.2 t| Halftone Statistics g| 381 -- g| 13.3 t| Blue-Noise Dithering g| 385 -- g| 13.4 t| Green-Noisei Dithering g| 390 -- g| 14 t| Intrinsic Dimensionality: Nonlinear Image Operators and Higher-Order Statistics / r| C. Zetzsche, G. Krieger g| 403 -- g| 14.2 t| Transdisciplinary Relevance of Intrinsic Dimensionality g| 406 -- g| 14.3 t| i2D-Selective Nonlinear Operators g| 413 -- g| 14.4 t| Frequency Design Methods for i2D Operators g| 421 -- g| 14.5 t| i2D Operators and Higher-Order Statistics g| 432.
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    0
    a| Image processing x| Digital techniques x| Mathematics.
    650
      
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    a| Nonlinear theories.
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    a| Digital filters (Mathematics)
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    a| Mitra, Sanjit Kumar.
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    a| Sicuranza, Giovanni L.
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    a| TA1637 .N664 2001 w| LC i| X004479587 l| STACKS m| SCI-ENG t| BOOK
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