Learning from Landmarks, Curves, Surfaces, and Shapes in Geomstats

Pereira, L., Le Brigant, A., Myers, A., Hartman, E., Khan, A., Tuerkoen, M., Dold, T., Gu, M., Suárez-Serrato, P., Miolane, N.

We introduce the shape module of the Geomstats Python package, which provides tools for analyzing shape data—landmarks, curves, and surfaces—via implemented shape spaces, Riemannian geometry, and abstract mathematical structures, enabling statistical and machine learning tasks through a modular, object-oriented design with illustrative examples.