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cs.CG2025
On the Stability of the Euler Characteristic Transform for a Perturbed Embedding
Jasmine George, Oscar Lledo Osborn, Elizabeth Munch +2
The Euler Characteristic Transform (ECT) is a robust method for shape classification. It takes an embedded shape and, for each direction, computes a piecewise constant function rep…
cs.DS2025
The Kinetic Hourglass Data Structure for Computing the Bottleneck Distance of Dynamic Data
Elizabeth Munch, Elena Xinyi Wang, Carola Wenk
The kinetic data structure (KDS) framework is a powerful tool for maintaining various geometric configurations of continuously moving objects. In this work, we introduce the kineti…