Blog
About

2
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Ocean surface radial velocity imaging in the AT-INSAR Velocity Bunching Model. A functional approach

      Preprint

      , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          This work is concerned with the estimation of radial velocities of sea surface elevations. The data, is a noisy along-track interferometric synthetic aperture radar (AT-INSAR) image. We assume the Velocity Bunching Model. This model relates the complex AT-INSAR image at a point in the image plane, with the radial velocity of a scatterer point in the sea surface. The relation is by means of a nonlinear integral operator mapping radial velocities into AT-INSAR images. Consequently, the estimation of radial velocities, amounts to the solution of nonlinear integral equations. Our proposal is to solve the latter by Newton's methods on function spaces, the optimize then discretize approach. We show that this continuous version is accurate, and faster than the classical discretize then optimize version. Also a physical comparison is carried out with the interferometric velocities.

          Related collections

          Author and article information

          Journal
          29 April 2020
          Article
          2004.14549

          http://creativecommons.org/licenses/by/4.0/

          Custom metadata
          45Q05 65R30 86A05
          math.NA cs.NA

          Numerical & Computational mathematics

          Comments

          Comment on this article