Wasserstein Distances, Geodesics and Barycenters of Merge Trees
IEEE Transactions on Visualization and Computer Graphics(2022)
摘要
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 [104] and introduce a new metric, called the Wasserstein distance between merge trees, which is purposely designed to enable efficient computations of geodesics and barycenters. Specifically, our new distance is strictly equival...
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关键词
Data visualization,Measurement,Task analysis,Probability density function,Uncertainty,Market research,Data models
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