dorsal/arxiv
View SchemaRainfall Advection using Velocimetry by Multiresolution Viscous Alignment
| Authors | Sai Ravela, Virat Chatdarong |
|---|---|
| Categories | |
| ArXiv ID | physics/0604158 |
| URL | https://arxiv.org/abs/physics/0604158 |
Abstract
An algorithm to estimate motion from satellite imagery is presented. Dense displacement fields are computed from time-separated images of of significant convective activity using a Bayesian formulation of the motion estimation problem. Ordinarily this motion estimation problem is ill-posed; there are far too many degrees of freedom than necessary to represent the motion. Therefore, some form of regularization becomes necessary and by imposing smoothness and non-divergence as desirable properties of the estimated displacement vector field, excellent solutions are obtained. Our approach provides a marked improvement over other methods in conventional use. In contrast to correlation based approaches, the displacement fields produced by our method are dense, spatial consistency of the displacement vector field is implicit, and higher-order and small-scale deformations can be easily handled. In contrast with optic-flow algorithms, we can produce solutions at large separations of mesoscale features between large time-steps or where the deformation is rapidly evolving.
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"abstract": "An algorithm to estimate motion from satellite imagery is presented. Dense\ndisplacement fields are computed from time-separated images of of significant\nconvective activity using a Bayesian formulation of the motion estimation\nproblem. Ordinarily this motion estimation problem is ill-posed; there are far\ntoo many degrees of freedom than necessary to represent the motion. Therefore,\nsome form of regularization becomes necessary and by imposing smoothness and\nnon-divergence as desirable properties of the estimated displacement vector\nfield, excellent solutions are obtained. Our approach provides a marked\nimprovement over other methods in conventional use. In contrast to correlation\nbased approaches, the displacement fields produced by our method are dense,\nspatial consistency of the displacement vector field is implicit, and\nhigher-order and small-scale deformations can be easily handled. In contrast\nwith optic-flow algorithms, we can produce solutions at large separations of\nmesoscale features between large time-steps or where the deformation is rapidly\nevolving.",
"arxiv_id": "physics/0604158",
"authors": [
"Sai Ravela",
"Virat Chatdarong"
],
"categories": [
"physics.ao-ph",
"physics.comp-ph",
"physics.data-an",
"physics.geo-ph"
],
"title": "Rainfall Advection using Velocimetry by Multiresolution Viscous Alignment",
"url": "https://arxiv.org/abs/physics/0604158"
},
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