General framework for testing Poisson-Voronoi assumption for real microstructures

DOI10.1002/ASMB.2517MaRDI QIDQ6578128

Piet J. J. Kok, Wei Li, Geurt Jongbloed, Martina Vittorietti, Jilt Sietsma

Publication date: 25 July 2024

Published in: Applied Stochastic Models in Business and Industry (Search for Journal in Brave)

zbMATH Keywords

hypothesis testingscalingcumulative distribution functionpersistence landscapePoisson-Voronoi diagramsreal microstructures

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Confidence sets for persistence diagrams
• Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
• Parametric representation of mean values for stationary random mosaies
• Three-dimensional alpha shapes
• Stochastic Convergence of Persistence Landscapes and Silhouettes
• The sectional Poisson Voronoi tessellation is not a Voronoi tessellation
• Statistical topological data analysis using persistence landscapes
• Barcodes: The persistent topology of data

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