Template Shape Estimation: Correcting an Asymptotic Bias
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Publication:4689630
DOI10.1137/16M1084493zbMath1403.62128arXiv1610.01502WikidataQ58803604 ScholiaQ58803604MaRDI QIDQ4689630
Nina Miolane, Xavier Pennec, Susan P. Holmes
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/1610.01502
Factor analysis and principal components; correspondence analysis (62H25) Image analysis in multivariate analysis (62H35)
Related Items (3)
Topologically Constrained Template Estimation via Morse--Smale Complexes Controls Its Statistical Consistency ⋮ Statistics for data with geometric structure. Abstracts from the workshop held January 21--27, 2018 ⋮ Template Estimation in Computational Anatomy: Fréchet Means Top and Quotient Spaces Are Not Consistent
Uses Software
Cites Work
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- Republication of: The geometry of free fall and light propagation
- Curvature explosion in quotients and applications
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- A deconvolution approach to estimation of a common shape in a shifted curves model
- Bootstrap methods: another look at the jackknife
- The Riemannian structure of Euclidean shape spaces: A novel environment for statistics
- Convergent stochastic expectation maximization algorithm with efficient sampling in high dimension. Application to deformable template model estimation
- On the consistency of Fréchet means in deformable models for curve and image analysis
- Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
- Biased Estimators on Quotient Spaces
- Riemann normal coordinate expansions using Cadabra
- Riemannian Structures on Shape Spaces: A Framework for Statistical Inferences
- Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
- On the consistency of procrustean mean shapes
- Procrustes Problems
- Towards a Coherent Statistical Framework for Dense Deformable Template Estimation
- Size and Shape Analysis of Error-Prone Shape Data
- Parallel Transport with Pole Ladder: Application to Deformations of Time Series of Images
- Shapes and diffeomorphisms
- Geometry VI. Riemannian geometry. Transl. from the Russian by S. A. Vakhrameev
- Euclidean distance matrix analysis (EDMA): Estimation of mean form and mean form difference
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