The theory of hierarchical image representations has been well-established in Mathematical
Morphology, and provides a suitable framework to handle images through objects or regions …

Due to digitization, usual discrete signals generally present topological paradoxes, such as
the connectivity paradoxes of Rosenfeld. To get rid of those paradoxes, and to restore some …

To compute the morphological self-dual representation of images, namely the tree of
shapes, the state-of-the-art algorithms do not have a satisfactory time complexity …

Connected filters are well-known for their good contour preservation property. A popular
implementation strategy relies on tree-based image representations: for example, one can …

Current trends in image segmentation are to compute a hierarchy of image segmentations
from fine to coarse. A classical approach to obtain a single meaningful image partition from a …

The topographic map of a gray-level image, also called tree of shapes, provides a high-level
hierarchical representation of the image contents. This representation, invariant to contrast …

Connected operators are filtering tools that act by merging elementary regions of an image.
A popular strategy is based on tree-based image representations: for example, one can …

In this work, we propose a one-class self-supervised method for anomaly segmentation in
images that benefits from both a modern machine learning approach and a more classic …

Hierarchical segmentation is a multi-scale analysis of an image and provides a series of
simplifying nested partitions. Such a hierarchy is rarely an end by itself and requires external …

Connected filtering is a popular strategy that relies on tree-based image representations: for
example, one can compute an attribute on each node of the tree and keep only the nodes for …