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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/1062| AN ATI-SAR DATA INVERSION PROBLEM IN OCEANOGRAPHY. APPROXIMATION BY A CONTINUOUS NEWTON’S METHOD APPROACH | |
| Fabricio Otoniel Pérez Pérez | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Teoría de ondas lineales | |
| Over the past four decades, the study of the ocean surface and its dynamics has greatly benefited from the employment of remote-sensing techniques, such as the Synthetic Aperture Radar (SAR). In particular, the ATI-SAR velocity bunching model (ATI-SAR-VB) has the capability to form reliable SAR images of ocean surfaces that exhibit swell patterns. Under the appropriate scenario -where the velocity bunching theory is valid- the main objective of the present thesis work is described as follows: "Given the ATI-SAR data D of an unknown scalar field z of sea surface elevations, estimate its associated scalar field ur of radial velocities". Within the context of this inverse problem, the ATI-SAR-VB model is now regarded as a nonlinear integral equation, whose solution is obtained from two different techniques: the solution to a system of nonlinear equations, and the minimisation of a functional. So, the Newton's method is applied on function spaces, where the Frechet derivative of each objective function is analytically calculated. The resultant continuous methods are discretised, in order to produce the corresponding numerical algorithms. In effectiveness, our estimated solutions improve upon the solutions that are obtained by the Goldstein-Zebker ATI-SAR principle. In efficiency, our continuous approach is computationally faster than the classical discretise-then-optimise strategy. | |
| 28-02-2020 | |
| Trabajo de grado, doctorado | |
| OTRAS | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Tesis del CIMAT |
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| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| TE 768.pdf | 7.42 MB | Adobe PDF | Visualizar/Abrir |