Topologically Constrained Template Estimation via Morse--Smale Complexes Controls Its Statistical Consistency
From MaRDI portal
Publication:3174774
DOI10.1137/17M1129222zbMath1393.53014MaRDI QIDQ3174774
Nina Miolane, Susan P. Holmes, Xavier Pennec
Publication date: 18 July 2018
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Biomedical imaging and signal processing (92C55) Non-Euclidean differential geometry (53A35) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- A deconvolution approach to estimation of a common shape in a shifted curves model
- Curvatures of left invariant metrics on Lie groups
- On the consistency of Fréchet means in deformable models for curve and image analysis
- Biased Estimators on Quotient Spaces
- Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion
- Template Estimation in Computational Anatomy: Fréchet Means Top and Quotient Spaces Are Not Consistent
- Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
- Template Shape Estimation: Correcting an Asymptotic Bias
- Towards a Coherent Statistical Framework for Dense Deformable Template Estimation
- Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
- Shapes and diffeomorphisms
This page was built for publication: Topologically Constrained Template Estimation via Morse--Smale Complexes Controls Its Statistical Consistency