A new extrinsic sample mean in the shape space with applications to the boundaries of anatomical structures

DOI10.1002/bimj.201400097zbMath1325.94031OpenAlexW1893330473WikidataQ41421030 ScholiaQ41421030MaRDI QIDQ5257939

Ximo Gual-Arnau, Amelia Simó, María Victoria Ibáñez

Publication date: 24 June 2015

Published in: Biometrical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/bimj.201400097

zbMATH Keywords

shape spaceanatomical structureparameterized closed curveextrinsic sample mean

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (2)

Intrinsic sample mean in the space of planar shapes ⋮ Detection of spatial change points in the mean and covariances of multivariate simultaneous autoregressive models

Cites Work

• Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
• A metric on shape space with explicit geodesics
• A Cramér-Rao type lower bound for estimators with values in a manifold
• Large sample theory of intrinsic and extrinsic sample means on manifolds. I
• Nonparametic estimation of location and dispersion on Riemannian manifolds
• Overview of object oriented data analysis
• A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Computable Elastic Distances Between Shapes
• Fourier Descriptors for Plane Closed Curves
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