Preface | p. ix |
Contributing Authors | p. xiii |
Summation | p. 1 |
Beginnings | p. 1 |
Bibliographies, books, surveys, and position papers | p. 2 |
Geometry | p. 3 |
Texture analysis, segmentation, and feature detection | p. 4 |
Other topics | p. 5 |
Digital Geometry--The Birth of a New Discipline | p. 33 |
Introduction | p. 33 |
Three classic papers by A. Rosenfeld and J. L. Pfaltz | p. 39 |
Traditional digital geometry | p. 42 |
Digitized Euclidean geometry | p. 45 |
Approximation of curves | p. 50 |
Approximation of surfaces | p. 55 |
Conclusions | p. 60 |
Digital Topology | p. 73 |
Introduction | p. 73 |
The discrete Jordan curve theorem | p. 74 |
Good pairs of adjacency relations | p. 77 |
Simple points | p. 80 |
Adjacency trees; boundary and border following algorithms | p. 84 |
Concluding remarks | p. 88 |
Fuzzy Mathematics | p. 95 |
Introduction | p. 95 |
Geometry | p. 96 |
Digital topology | p. 107 |
Graph theory | p. 116 |
Algebra | p. 120 |
Picture Languages | p. 127 |
Introduction | p. 127 |
Formal languages for pictorial pattern recognition | p. 129 |
2D and 3D array grammars and array languages | p. 131 |
Parallel grammars and parallel acceptors | p. 135 |
Web grammars, web automata, and cellular graph automata | p. 141 |
An application of array grammars | p. 146 |
Further topics | p. 151 |
List of Rosenfeld's works on picture languages | p. 152 |
Parallel Image Processing | p. 157 |
Introduction | p. 157 |
Parallel computers for image processing | p. 159 |
Pixel-level processing | p. 165 |
Region-level processing | p. 169 |
Concluding remarks | p. 175 |
Object Representations | p. 181 |
Introduction | p. 181 |
Unit-size cells | p. 184 |
Blocks | p. 187 |
Arbitrary objects | p. 193 |
Hierarchical representations | p. 201 |
Boundary-based representations | p. 205 |
Concluding remarks | p. 211 |
Texture Classification and Segmentation | p. 219 |
Tribulations | p. 219 |
Triumphs | p. 221 |
Tributes | p. 234 |
Edge Measures Using Similarity Regions | p. 241 |
Introduction | p. 242 |
Related work | p. 245 |
Edges and similarity regions | p. 250 |
SRS-based edge measures | p. 257 |
Preprocessing using clustering | p. 264 |
Discussion and conclusions | p. 280 |
Relaxation Labeling: 25 Years and Still Iterating | p. 289 |
Introduction | p. 289 |
Historical remarks | p. 290 |
Tangent maps and compatibilities for curve inference | p. 299 |
Subtree isomorphism for shape matching | p. 307 |
Polymatrix games | p. 311 |
Summary and conclusions | p. 315 |
From a Robust Hierarchy to a Hierarchy of Robustness | p. 323 |
Inside image pyramids | p. 323 |
Stochastic pyramids and least median of squares | p. 326 |
The vision perspective of robustness | p. 336 |
Instead of conclusions | p. 343 |
A Pyramid Framework for Real-Time Computer Vision | p. 349 |
Introduction | p. 349 |
From human to computer vision | p. 350 |
Pyramid transforms | p. 356 |
Frame-to-frame alignment | p. 361 |
Space/time filters | p. 364 |
Multi-resolution fusion | p. 366 |
Displacement fields | p. 369 |
Attribute maps | p. 373 |
Vision front-end system | p. 374 |
Next steps | p. 377 |
On the Computational Modeling of Human Vision | p. 381 |
Introduction | p. 381 |
One-stage theories | p. 382 |
Multiple processes: Perception of lightness | p. 383 |
Multiple representations: Visual segregation | p. 388 |
Multiple sources of information: Perception of transparency | p. 391 |
Impenetrability | p. 396 |
Summary | p. 399 |
Statistics Explains Geometrical Optical Illusions | p. 409 |
Introduction | p. 409 |
Errors in gray values | p. 413 |
Errors in line elements | p. 423 |
Errors in motion | p. 429 |
The inherent problem | p. 435 |
Discussion and summary | p. 437 |
Expected value of the least squares solution | p. 441 |
Optics for OmniStereo Imaging | p. 447 |
Introduction | p. 447 |
Circular projections | p. 448 |
OmniStereo mosaicking | p. 449 |
Curves for OmniStereo optics | p. 451 |
Spiral mirror, I | p. 454 |
Spiral mirror, II | p. 457 |
A spiral lens | p. 463 |
Concluding remarks | p. 465 |
Volumetric Scene Reconstruction from Multiple Views | p. 469 |
Introduction | p. 469 |
Volumetric representations | p. 470 |
Shape from silhouettes | p. 471 |
Shape from photo-consistency | p. 473 |
Voxel visibility using plane-sweep | p. 476 |
Voxel coloring | p. 477 |
Space carving | p. 478 |
Better reconstructions | p. 480 |
Extensions | p. 482 |
Conclusions | p. 484 |
Index | p. 491 |
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