4 citations · 6 across the 3 of their papers we have counts for
4 papers
Categorizing Merge Tree Edit Distances by Stability using Minimal Vertex Perturbation
Florian Wetzels, Christoph Garth
This paper introduces a novel stability measure for edit distances between merge trees of piecewise linear scalar fields. We apply the new measure to various metrics introduced rec…
XAI for Point Cloud Data using Perturbations based on Meaningful Segmentation
Raju Ningappa Mulawade, Christoph Garth, Alexander Wiebel
We propose a novel segmentation-based explainable artificial intelligence (XAI) method for neural networks working on point cloud classification. As one building block of this meth…
Distributed Path Compression for Piecewise Linear Morse-Smale Segmentations and Connected Components
Michael Will, Jonas Lukasczyk, Julien Tierny +1
This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. A…
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…