(Quasi)Periodicity Quantification in Video Data, Using Topology

DOI10.1137/17M1150736zbMath1401.65025arXiv1704.08382WikidataQ129874176 ScholiaQ129874176MaRDI QIDQ4689754

Christopher J. Tralie, Jose A. Perea

Publication date: 17 October 2018

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08382

zbMATH Keywords

periodicityrecurrencetopologyquasiperiodicitypersistent homologynonlinear time series analysisvocal foldsvideo analysisbiphonation

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (7)

ANAPT: additive noise analysis for persistence thresholding ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Twisty Takens: a geometric characterization of good observations on dense trajectories ⋮ Classifying sleep states using persistent homology and Markov chains: a pilot study ⋮ Phenotyping OSA: a time series analysis using fuzzy clustering and persistent homology

Uses Software

• Ripser

Cites Work

• Statistical ranking and combinatorial Hodge theory
• Computing persistent homology
• Cohomological learning of periodic motion
• Sliding windows and persistence: an application of topological methods to signal analysis
• Diffusion maps
• High-Dimensional Geometry of Sliding Window Embeddings of Periodic Videos
• Removing Camera Shake via Weighted Fourier Burst Accumulation
• Nonlinear Time Series Analysis
• Solving Inverse Problems With Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity
• A NEW MEASURE OF RANK CORRELATION
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