5 papers
Canopies: A Generalization of Vines and Vineyards for Parameterized Persistence
Barbara Giunti, Elizabeth Munch
In this paper, we provide a new construction for studying parameterized persistence, called a canopy. We give two versions of this construction: the A-canopy, retaining all informa…
Topological summaries of fingerprint ridge patterns carry identity information
Chad M. Topaz, Niny Arcila-Maya, Elizabeth Munch +2
Fingerprints are the most widely deployed biometric. Verifying whether two impressions come from the same finger typically relies on minutiae, small landmarks such as skin ridge en…
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…
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…
An Invitation to the Euler Characteristic Transform
Elizabeth Munch
The Euler characteristic transform (ECT) is a simple to define yet powerful representation of shape. The idea is to encode an embedded shape using sub-level sets of a a function de…