Template-based image reconstruction from sparse tomographic data
From MaRDI portal
Publication:2019912
DOI10.1007/s00245-019-09573-2zbMath1461.49048arXiv1810.08596OpenAlexW2964314235MaRDI QIDQ2019912
Ozan Öktem, Lukas F. Lang, Sebastian Neumayer, Carola-Bibiane Schönlieb
Publication date: 22 April 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.08596
Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Inverse problems in optimal control (49N45) Pathology, pathophysiology (92C32)
Related Items
Task adapted reconstruction for inverse problems ⋮ Regularization with metric double integrals for vector tomography ⋮ Template-based CT reconstruction with optimal transport and total generalized variation ⋮ The Split Gibbs Sampler Revisited: Improvements to Its Algorithmic Structure and Augmented Target Distribution ⋮ An optimal fluid optical flow registration for super-resolution with Lamé parameters learning ⋮ Template-based image reconstruction facing different topologies
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Metamorphosis of images in reproducing kernel Hilbert spaces
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation
- Simultaneous optical flow and source estimation: space-time discretization and preconditioning
- Ordinary differential equations, transport theory and Sobolev spaces
- Variational methods in imaging
- Elliptic partial differential equations of second order
- Sparse regularization in limited angle tomography
- Group actions, homeomorphisms, and matching: A general framework
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Image sequence interpolation using optimal control
- Geodesic shooting for computational anatomy
- Metamorphoses through Lie group action
- On a practical implementation of particle methods
- Computing large deformation metric mappings via geodesic flows of diffeomorphisms
- The Mathematics of Computerized Tomography
- Shape Spaces
- Numerical PDE-Constrained Optimization
- Shape-based image reconstruction using linearized deformations
- Algorithms for PDE-constrained optimization
- Computational Optimization of Systems Governed by Partial Differential Equations
- A generalized model for optimal transport of images including dissipation and density modulation
- Optimization with PDE Constraints
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- FAIR
- Variational problems on flows of diffeomorphisms for image matching
- A Variational Model for Joint Motion Estimation and Image Reconstruction
- Indirect Image Registration with Large Diffeomorphic Deformations
- Optimal Control Formulation for Determining Optical Flow
- Perspectives in Flow Control and Optimization
- An optimal control approach to optical flow computation
- Image reconstruction through metamorphosis
- Morphing of Manifold-Valued Images Inspired by Discrete Geodesics in Image Spaces
- A Lagrangian Gauss--Newton--Krylov Solver for Mass- and Intensity-Preserving Diffeomorphic Image Registration
- Regularization of inverse problems via time discrete geodesics in image spaces
- Biomedical Image Registration
- A Multilevel Method for Image Registration
- Local Geometry of Deformable Templates
- Shapes and diffeomorphisms