Chromatic alpha complexes
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
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Abstract
Motivated by applications in the medical sciences, we study finite chromatic
sets in Euclidean space from a topological perspective. Based on the persistent
homology for images, kernels and cokernels, we design provably stable
homological quantifiers that describe the geometric micro- and macro-structure
of how the color classes mingle. These can be efficiently computed using
chromatic variants of Delaunay and alpha complexes, and code that does these
computations is provided.
Publishing Year
Date Published
2024-02-07
Journal Title
arXiv
Article Number
2212.03128
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Cite this
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv.
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic alpha complexes. arXiv.
Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Alpha Complexes.” ArXiv, n.d.
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv, 2212.03128.
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