A minimum barrier distance for multivariate images with applications

Ngoc, Minh; Boutry, Nicolas; Fabrizio, Jonathan; Géraud, Thierry

doi:10.1016/j.cviu.2020.102993

Cited by 4 publications

(1 citation statement)

References 34 publications

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“…The tree of shapes was involved in various image processing and analysis applications, mainly including segmentation. It is for instance related to the minimum barrier distance in images, and allows in particular to estimate it with various potential applications [17]. Many strategies were proposed for efficiently building the tree of shapes, e.g.…”

Section: Related Workmentioning

confidence: 99%

Building the Topological Tree of Shapes from the Tree of Shapes

Mendes Forte,

Passat,

Kenmochi

2024

Lecture Notes in Computer Science

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The topological tree of shapes was recently introduced as a new hierarchical structure within the family of morphological trees. Morphological trees are efficient models for image processing and analysis. For such applications, it is of paramount importance that these structures be built and manipulated with optimal complexity. In this article, we focus on the construction of the topological tree of shapes. We propose an algorithm for building the topological tree of shapes from the tree of shapes. In particular, a cornerstone of this algorithm is the construction of the complete tree of shapes, another recently introduced tree unifying both the tree of shapes and the topological tree of shapes. We also discuss the cost of the computation of these structures.

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Section: Related Workmentioning

confidence: 99%