18 citations · 42 across the 7 of their papers we have counts for
8 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…
Accelerating Computation of Stable Merge Tree Edit Distances using Parameterized Heuristics
Florian Wetzels, Heike Leitte, Christoph Garth
In this paper, we present a novel heuristic algorithm for the stable but NP-complete deformation-based edit distance on merge trees. Our key contribution is the introduction of a u…
Taming Horizontal Instability in Merge Trees: On the Computation of a Comprehensive Deformation-based Edit Distance
Florian Wetzels, Markus Anders, Christoph Garth
Comparative analysis of scalar fields in scientific visualization often involves distance functions on topological abstractions. This paper focuses on the merge tree abstraction (r…
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…
A Deformation-based Edit Distance for Merge Trees
Florian Wetzels, Christoph Garth
In scientific visualization, scalar fields are often compared through edit distances between their merge trees. Typical tasks include ensemble analysis, feature tracking and symmet…
Branch Decomposition-Independent Edit Distances for Merge Trees
Florian Wetzels, Heike Leitte, Christoph Garth
Edit distances between merge trees of scalar fields have many applications in scientific visualization, such as ensemble analysis, feature tracking or symmetry detection. In this p…
Time-Varying Fuzzy Contour Trees
Anna-Pia Lohfink, Frederike Gartzky, Florian Wetzels +2
We present a holistic, topology-based visualization technique for spatial time series data based on an adaptation of Fuzzy Contour Trees. Common analysis approaches for time depend…
Comparative Design-Choice Analysis of Color Refinement Algorithms Beyond the Worst Case
Markus Anders, Pascal Schweitzer, Florian Wetzels
Color refinement is a crucial subroutine in symmetry detection in theory as well as practice. It has further applications in machine learning and in computational problems from lin…