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Alignment of Geophysical Fields: A Differential Geometry Perspective

https://doi.org/10.2139/ssrn.5253501
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Analysis methods for numerical weather prediction
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A strategy for operational implementation of 4D-Var, using an incremental approach
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Recovering Estimates of Fluid Flow from Image Sequence Data
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Hodge Decomposition—A Method for Solving Boundary Value Problems
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The Momentum Map Representation of Images
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Partition of Forecast Error into Positional and Structural Components
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Metamorphoses Through Lie Group Action
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Computing nearly singular solutions using pseudo-spectral methods
inferredcites →https://doi.org/10.1016/j.jcp.2018.10.038openalex-snapshot
A quasi-Hamiltonian discretization of the thermal shallow water equations
inferredcites →https://doi.org/10.1016/j.physd.2006.09.035openalex-snapshot
Data assimilation by field alignment
inferredcites →https://doi.org/10.1016/s0764-4442(97)84778-7openalex-snapshot
Nonlinear filtering: Interacting particle resolution
inferredcites →https://doi.org/10.1017/jfm.2013.101openalex-snapshot
The quasi-geostrophic theory of the thermal shallow water equations
inferredcites →https://doi.org/10.1023/a:1008001603737openalex-snapshot
Diffeomorphisms Groups and Pattern Matching in Image Analysis
inferredcites →https://doi.org/10.1023/b:visi.0000043755.93987.aaopenalex-snapshot
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms
inferredcites →https://doi.org/10.1109/34.990137openalex-snapshot
Dense estimation of fluid flows
inferredcites →https://doi.org/10.1109/cvpr.2000.854890openalex-snapshot
A generalized optical flow constraint and its physical interpretation
inferredcites →https://doi.org/10.1109/tpami.2008.51openalex-snapshot
Optical Flow and Advection on 2-Riemannian Manifolds: A Common Framework
inferredcites →https://doi.org/10.1109/wacv.2014.6836005openalex-snapshot
Spatial inference for coherent geophysical fluids by appearance and geometry
inferredcites →https://doi.org/10.1111/j.1600-0870.2007.00275.xopenalex-snapshot
Morphing ensemble Kalman filters
inferredcites →https://doi.org/10.1115/1.3662552openalex-snapshot
A New Approach to Linear Filtering and Prediction Problems
inferredcites →https://doi.org/10.1137/s0036141002404838openalex-snapshot
Local Geometry of Deformable Templates
inferredcites →https://doi.org/10.1142/3812openalex-snapshot
Lectures on Differential Geometry
inferredcites →https://doi.org/10.1175/1520-0493(1998)126<0796:dauaek>2.0.co;2openalex-snapshot
Data Assimilation Using an Ensemble Kalman Filter Technique
inferredcites →https://doi.org/10.1175/1520-0493(2001)129<0123:asekff>2.0.co;2openalex-snapshot
A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation
inferredcites →https://doi.org/10.3402/tellusa.v56i5.14462openalex-snapshot
A local ensemble Kalman filter for atmospheric data assimilation
inferredcites →https://doi.org/10.4208/nmtma.2013.mssvm07openalex-snapshot
Wavelets and Optical Flow Motion Estimation
inferredcites →https://doi.org/10.48550/arxiv.2211.04207openalex-snapshot
Physically Constrained Covariance Inflation from Location Uncertainty
inferredcites →https://doi.org/10.5201/ipol.2013.20openalex-snapshot
Horn-Schunck Optical Flow with a Multi-Scale Strategy
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