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IMA4502 |
2D and 3D mathematical morphology |
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| Coordination |
Françoise PRETEUX |
| Duration |
45h |
| ECTS |
4 |
| Prerequisite |
None |
| Objectives |
To introduce this French image analysis theory, known and used in the industry worldwide for almost 30 years.
To illustrate its application to 2D and 3D segmentation, texture analysis, motion estimation, reconstruction, modelling and simulation problems.
To establish core competences through an implementation-oriented approach in connection with 2D/3D image analysis applications. |
| Content |
Context and issues: mathematical morphology in the digital imaging industry: from space to biometry (conference)
Discrete geometry and image analysis: from continuous to discrete settings, from Euclidean to geodesic spaces
Binary visual content analysis: geometric and set-theoretic combined approach, Boolean lattices, basic operators and their applications
Numerical visual content analysis: n-dimensional functional approach and higher-order morphological operators; application to quality control
Morphological filtering and its applications
Topographic morphology: from connection cost to topographic distance; application to object segmentation and tracking in image sequences
Fuzzy morphology and information fusion: application to multimodal imaging
From deterministic to random spaces: random closed-set modeling, Boolean scheme and Boolean functions; application to texture analysis in hostile environments
Mathematical morphology in the industry: thirty years of exchanges (conference)
Visit of an industrial R&D center (Thomson, Thalès, Safran...)
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| Bibliography |
J. Serra
Introduction to Mathematical Morphology
Academic Press, 1986
J. Serra (Ed.)
Image Analysis and Mathematical Morphology
Academic Press, 1988
E. Dougherty (Ed.)
Image Processing and Mathematical Morphology
Marcel Dekker, 1992
M. Coster, J-L. Chermant
Précis d’analyse d’images
Edition du CNRS, 1985
M. Chassery & A Montanvert
Géométrie discrète en analyse d’images
Hermès, 1991
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| Assignment pattern |
Supervised group project on subjects borrowed from real industrial applications or from national/European research projects. |
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