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Persistent homology and Euler integral transforms. (English) Zbl 07089249
Summary: The Euler calculus–an integral calculus based on Euler characteristic as a valuation on constructible functions–is shown to be an incisive tool for answering questions about injectivity and invertibility of recent transforms based on persistent homology for shape characterization.

65R10 Numerical methods for integral transforms
58C35 Integration on manifolds; measures on manifolds
Full Text: DOI arXiv
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