4 citations · 5 across the 4 of their papers we have counts for
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Region-Aware Wasserstein Distances of Persistence Diagrams and Merge Trees
Mathieu Pont, Christoph Garth
This paper presents a generalization of the Wasserstein distance for both 0th persistence diagrams and merge trees [21], [68] that takes advantage of the regions of their topologic…
Merge Tree Geodesics and Barycenters with Path Mappings
Florian Wetzels, Mathieu Pont, Julien Tierny +1
Comparative visualization of scalar fields is often facilitated using similarity measures such as edit distances. In this paper, we describe a novel approach for similarity analysi…
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams)
Mathieu Pont, Jules Vidal, Julien Tierny
This paper presents a computational framework for the Principal Geodesic Analysis of merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis (PCA) f…
Wasserstein Distances, Geodesics and Barycenters of Merge Trees
Mathieu Pont, Jules Vidal, Julie Delon +1
This paper presents a unified computational framework for the estimation of distances, geodesics and barycenters of merge trees. We extend recent work on the edit distance [106] an…