1997
DOI: 10.1117/12.292778
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<title>Topological gray-scale watershed transformation</title>

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Cited by 106 publications
(116 citation statements)
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“…A Voronoi-like decomposition of the pore-space of porous materials has been proposed [10] to aid the determination of the pore space skeleton. In our approach, we employ a hierarchical watershed algorithm [4,6] on the distance map [12] with persistence-based simplification [7]. This enables the decomposition of the BHJ morphology at potential bottlenecks.…”
Section: Morphology Abstraction and Feature Extractionmentioning
confidence: 99%
See 1 more Smart Citation
“…A Voronoi-like decomposition of the pore-space of porous materials has been proposed [10] to aid the determination of the pore space skeleton. In our approach, we employ a hierarchical watershed algorithm [4,6] on the distance map [12] with persistence-based simplification [7]. This enables the decomposition of the BHJ morphology at potential bottlenecks.…”
Section: Morphology Abstraction and Feature Extractionmentioning
confidence: 99%
“…For this, we first compute the signed Euclidean distance map, starting from all interface voxels, such that the distance map inside the donor has negative values. We then apply a watershed algorithm [6] on the distance map and subsequently apply a persistence-based [7] merging step to create larger regions. To do so, we compare the scalar minima of two regions to be merged with the scalar value at the potential merge point.…”
Section: Extraction Of Cross-sectional Areasmentioning
confidence: 99%
“…Using the characteristics of these images we define a technique of digital image processing called Watershed Transform (WT), which through the flooding of the valleys, is capable of recognizing similar topographical areas, surrounded by mountain ridges. The WT is a segmentation method based on regions, which classifies pixels according to their spatial proximity, the gradient of their gray levels and the homogeneity of their textures [26] [27]. With the objective of segmenting an image in gray levels, prior to the application of the WT, a gradient image must be obtained, where the levels of the contours of the objects to be segmented represent an area of elevated gray intensity.…”
Section: )mentioning
confidence: 99%
“…A radically different approach to watersheds, originally proposed by Gilles Bertrand, is developed in [1,9]. In this approach, we consider a transformation called topological watershed, which modifies a map (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…An original approach to the watershed [1,9] consists in modifying the original image by lowering some points while preserving some topological properties, namely, the connectivity of each lower cross-section. Such a transformation (and its result) is called a W-thinning, a topological watershed being an "ultimate" W-thinning.…”
mentioning
confidence: 99%