Topological Object Data Analysis Methods with an Application to Medical Imaging

DOI10.1007/978-3-030-47756-1_31zbMath1444.62173OpenAlexW3036458403MaRDI QIDQ3300659

Chen Shen, Victor Patrangenaru

Publication date: 29 July 2020

Published in: Functional and High-Dimensional Statistics and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-47756-1_31

zbMATH Keywords

medical imagingtopological data analysis

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Image analysis in multivariate analysis (62H35) Learning and adaptive systems in artificial intelligence (68T05) Biomedical imaging and signal processing (92C55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Topological data analysis (62R40)

Uses Software

• Persistence Landscape
• GitHub
• Ripser

Cites Work

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• Nonparametric estimation of means on Hilbert manifolds and extrinsic analysis of mean shapes of contours
• Statistical inference using the Morse-Smale complex
• A persistence landscapes toolbox for topological statistics
• Topological persistence and simplification
• Challenges in topological object data analysis
• A statistical approach to persistent homology
• Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
• Statistical topology via Morse theory, persistence and nonparametric estimation
• Statistical topological data analysis using persistence landscapes

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