9780195081879

The study of mathematical morphology--an essential component of researchin image processing and computer graphics--has seen remarkable advances in thepast few years. Copiously illustrated with hundreds of illustrations andcomputer-generated figures, Mathematical Morphology: Theory and Hardware bringstogether leading researchers and theorists to explore a range of topics on thecutting edge of the field today. Featuring chapters ranging from hardwaredesign to representational theorems to openings, the book will be much soughtafter by researchers and advanced students, as well as by engineers involved inthe design of high-speed image processing systems.

1. Robert Haralick: Introduction to Mathematical Morphology1.1. Opening Remarks1.2. Binary Dilation1.3. Gray-Scale Morphology2. Xinhua Zhuang: Decomposition of Morphological Structuring Elements2.1. Introduction2.2. Binary Structuring Element Two Pixel Decomposition2.3. Gray-Scale Structuring Element Decomposition2.4. Conclusion3. Gunilla Borgefors: Distance Transforms for Digital Image Processing3.1. Introduction3.2. Basic Concepts3.3. Path Generated Distance Transforms3.4. Weighted Distance Transforms Using 3 x 3 Neighborhood3.5. Weighted Distance Transforms Using 5 x 5 Neighborhood3.6. Weighted Distance Transforms Using 7 x 7 Neighborhood3.7. Comparisons Between Distance Transforms3.8. Sequential Computation3.9. Parallel Computation3.10. Distances Transforms by Linear Filtering3.11. Euclidean Distance Transform3.12. Conclusion4. Bhabatosh Chanda and Robert M. Haralick: Mathematical Morphology andGeometrical Properties of Digital Objects4.1. Introduction4.2. Definitions4.3. Morphological Operations and Connectivity4.4. Convexity4.5. Conclusion5. Gerald Jean Francis Banon and Junior Barrera: Set Mapping Decompositions byMathematical Morphology5.1. Introduction5.2. Review of Erosions and Dilations5.3. Decomposition Theorems5.4. Minimal Decomposition Theorems5.5. Translation Invariant Mappings5.6. Examples5.7. Conclusion5.8. Acknowledgments6. Jisheng Song and Edward Delp: The Generalized Morphological Filter6.1. Introduction6.2. Morphological Operations6.3. The Generalized Morphological Filter6.4. Syntactic Properties of GMF6.5. Computation of Optimal Coefficients of the GMF6.6. Conclusion7. Peter J. Marineau and Michael M. Skolnick: Pebble Pond: A MorphologicalAlgorithm for Representing Diverse Spatial Structure7.1. Introduction7.2. Wave Meetings: Gabriel Graphs and Related Structures7.3. Wave Crossings and Intersections: Localized Pebble Pond, Aerial Images andScale/Rotation Invariant Signatures7.4. Conclusion7.5. Acknowledgements7.6. References7.7. Figures8. Edward Dougherty: Morphological Openings and Granulometries: Binary toEuclidean Gray-Scale8.1. Introduction8.2. Binary Filters8.3. Binary Openings8.4. Noise Filtering8.5. Granulometries and Size Distributions8.6. Euclidean Granulometries8.7. Gray-Scale Filters8.8. Gray-Scale Openings and Closings8.9. The Umbra Transform and Induced Mappings8.10. Euclidean Gray-Scale r-Openings8.11. Gray-Scale Euclidean Granulometries9. Stephen S. Wilson: Matrix Morphology: Mathematical Morphology on Matrices ofImages9.1. Introduction9.2. Properties of Binary Matrix Morphology9.3. Applications of Matrix Morphology9.4. Rank Order Filters on Matrices9.5. Hit-and-Miss Generalization9.6. Non-Increasing Transformations10. John Goutsias: Modeling Random Shapes: An Introduction to Random Set Theory10.1. Introduction10.2. Random Closed Sets10.3. Transformations of RACS''s10.4. Stationarity, Isotropy, and Moments of RACS''s10.5. General Characterizations of RACS''s10.6. Examples of RACS''s10.7. Concluding Remarks11. Henk Heijmans: From Binary to Gray-Level Morphology11.1. Introduction11.2. Complete Lattices11.3. Binary Morphology11.4. From Sets to Functions11.5. Gray-Level Dilations and Erosions11.6. Flat Operators11.7. Continuity, Iteration, and Idempotence11.8. Other Constructions of Function Operators12. Petros Maragos: Representation Theorems for Morphological and RelatedNon-linear Signal Operators12.1. Introduction12.2. Preliminaries12.3. Kernel Representations12.4. Basis Representations12.5. Examples and Applications12.6. Discussion13. J.B.T.M. Roerdink: On the Construction of Translation and Rotation InvariantMorphological Operators13.1. Introduction13.2. Preliminaries13.3. Morphological Operations on the Motion Group13.4. Motion-Invariant Morphological Operations on the Plane13.5. Discussion and Application14. Christian Ronse: Openings: Main Properties, and How to Construct Them14.1. Opening and Closing: Two Simple but Useful Notions14.2. Algebraic Theory of Openings14.3. Inf-overfilter14.4. A

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Mathematical Morphology : Theory and Hardware

Mathematical Morphology : Theory and Hardware

0195081870

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