On random tomography with unobservable projection angles
From MaRDI portal
Publication:1043740
DOI10.1214/08-AOS673zbMath1193.60017arXiv0909.0349OpenAlexW2123572334MaRDI QIDQ1043740
Publication date: 9 December 2009
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.0349
Radon transformdeconvolutionshape theorymixture densitystatistical inverse problemsingle particle electron microscopy
Geometric probability and stochastic geometry (60D05) Image analysis in multivariate analysis (62H35) Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32)
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Cites Work
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- Speed of estimation in positron emission tomography and related inverse problems
- The Radon transform
- The Riemannian structure of Euclidean shape spaces: A novel environment for statistics
- On nonparametric estimation of intercept and slope distributions in random coefficient regression
- Positron emission tomography and random coefficients regression
- The statistical analysis of dynamic curves and sections
- Parametric deconvolution of positive spike trains.
- Consistent estimation of mixture complexity.
- Asymptotic consistency of the maximum likelihood estimate in positron emission tomography and applications
- Theory of statistics
- A study of least squares and maximum likelihood for image reconstruction in positron emission tomography
- The Mathematics of Computerized Tomography
- Representation of Radon shape diffusions via hyperspherical Brownian motion
- Alignments in two-dimensional random sets of points
- Computerized Tomography: The New Medical X-Ray Technology
- Asymptotic Statistics
- Computable Elastic Distances Between Shapes
- Sufficient conditions for the Inversion Formula for the $k$-plane Radon Transform in $\mathsf R^n$
- A Statistical Model for Positron Emission Tomography
- Optimal portfolio policies under fixed and proportional transaction costs
- Distances of Probability Measures and Random Variables
- Asymptotic Properties of Non-Linear Least Squares Estimators