Mathematical Morphology: 40 Years On: Proceedings of the 7th International Symposium on Mathematical Morphology, April 18–20, 2005

Junior Barrera, Ronaldo Fumio Hashimoto (auth.), Christian Ronse, Laurent Najman, Etienne Decencière (eds.)9781402034428, 9781402034435, 1402034423, 1402034431

Mathematical Morphology is a speciality in Image Processing and Analysis, which considers images as geometrical objects, to be analyzed through their interactions with other geometrical objects. It relies on several branches of mathematics, such as discrete geometry, topology, lattice theory, partial differential equations, integral geometry and geometrical probability. It has produced fast and efficient algorithms for computer analysis of images, and has found applications in bio-medical imaging, materials science, geoscience, remote sensing, quality control, document processing and data analysis.

This book contains the 43 papers presented at the 7th International Symposium on Mathematical Morphology, held in Paris on April 18-20, 2005. It gives a lively state of the art of current research topics in this field. It also marks a milestone, the 40 years of uninterrupted development of this ever-expanding domain.

Table of contents :
Binary Decision Diagrams as a New Paradigm for Morphological Machines….Pages 3-12
Image Filtering Using Morphological Amoebas….Pages 13-22
Numerical Residues….Pages 23-32
Efficient Path Openings and Closings….Pages 33-42
Structuring Elements Following the Optical Flow….Pages 43-52
Recursive Interpolation Technique for Binary Images Based on Morphological Median Sets….Pages 53-62
Second-Order Connected Attribute Filters Using Max-Trees….Pages 65-74
Transformations with Reconstruction Criteria: Image Segmentation and Filtering….Pages 75-84
Attribute-Space Connected Filters….Pages 85-94
Vector-Attribute Filters….Pages 95-104
Ruminations on Tarjan’s Union-Find Algorithm and Connected Operators….Pages 105-116
Labelled Reconstruction of Binary Objects: A Vector Propagation Algorithm….Pages 117-128
Grayscale Level Multiconnectivity….Pages 129-138
Shape-Tree Semilattices….Pages 139-148
Morphological Segmentations of Colour Images….Pages 151-176
Fast Implementation of Waterfall Based on Graphs….Pages 177-186
Mosaics and Watersheds….Pages 187-196
A New Definition for the Dynamics….Pages 197-206
Watershed-Driven Region-Based Image Retrieval….Pages 207-216
Efficient Implementation of Thelocally Constrained Watershed Transform and Seeded Region Growing….Pages 217-226
Optimal Shape and Inclusion….Pages 229-248
Regular Metric: Definition and Characterization in the Discrete Plane….Pages 249-258
Euclidean Skeletons of 3D Data Sets in Linear Time by the Integer Medial Axis Transform….Pages 259-268
Digitization of Non-Regular Shapes….Pages 269-278
Downsampling of Binary Images Using Adaptive Crossing Numbers….Pages 279-288
Grey-Weighted, Ultrametric and Lexicographic Distances….Pages 289-298
Mathematical Modeling of the Relationship “between” Based On Morphological Operators….Pages 299-308
Semidiscrete and Discrete Well-Posedness of Shock Filtering….Pages 311-320
A Variational Formulation of PDE’s for Dilations and Levelings….Pages 321-332
Stochastic Shape Optimisation….Pages 333-342
On the Local Connectivity Number of Stationary Random Closed Sets….Pages 343-354
Intersize Correlation of Grain Occurrences in Textures and Its Application to Texture Regeneration….Pages 357-366
Texture Segmentation Using Area Morphology Local Granulometries….Pages 367-376
Illumination-Invariant Morphological Texture Classification….Pages 377-386
Unified Morphological Color Processing Framework in a Lum/Sat/Hue Representation….Pages 387-396
Iterative Area Seeded Region Growing for Multichannel Image Simplification….Pages 397-406
Morphology for Higher-Dimensional Tensor Data Via Loewner Ordering….Pages 407-416
Using Watershed and Multimodal Data for Vessel Segmentation: Application to the Superior Sagittal Sinus….Pages 419-428
Using Grey Scale Hit-Or-Miss Transform for Segmenting the Portal Network of the Liver….Pages 429-440
Blood Cell Segmentation Using Minimum Area Watershed and Circle Radon Transformations….Pages 441-454
Quantifying Mean Shape and Variability of Footprints Using Mean Sets….Pages 455-464
Exploiting and Evolving R N Mathematical Morphology Feature Spaces….Pages 465-474
Morphological Segmentation Applied to 3D Seismic Data….Pages 475-484