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Mathematical morphology
Classical approach: P(C), C and S.
Morphological operators on C using a higher intermediary dimension
Morphological operators on C using a lower intermediary dimension
Table of contents :
1 Introduction and related work
2 Basic theoretical concepts
2.1 Simplicial complexes
2.2 Mathematical morphology
3 Proposed operators
3.1 Classical approach: P(C), C and S.
3.2 Dimensional operators
3.3 Morphological operators on C using a higher intermediary dimension
3.4 Morphological operators on C using a lower intermediary dimension
3.5 Extension to weighted complexes
3.6 Revisiting the related work
3.7 Summary of the proposed operators
4 Experimental results
4.1 Illustration on a tridimensional mesh
4.2 Illustration on regular images
4.3 Illustration on a grayscale image
4.4 Results on a set of regular images
4.5 Implementational considerations
5 Conclusion
