A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level

This paper presents a new methodological process for detecting the instantaneous land-water border at sub-pixel level from mid-resolution satellite images (30 m/pixel) that are freely available worldwide. The new method is based on using an iterative procedure to compute Laplacian roots of a polynom...

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Main Authors: Elena Sánchez-García, Ángel Balaguer-Beser, Jaime Almonacid-Caballer, Josep Eliseu Pardo-Pascual
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/11/16/1880
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author Elena Sánchez-García
Ángel Balaguer-Beser
Jaime Almonacid-Caballer
Josep Eliseu Pardo-Pascual
author_facet Elena Sánchez-García
Ángel Balaguer-Beser
Jaime Almonacid-Caballer
Josep Eliseu Pardo-Pascual
author_sort Elena Sánchez-García
collection DOAJ
description This paper presents a new methodological process for detecting the instantaneous land-water border at sub-pixel level from mid-resolution satellite images (30 m/pixel) that are freely available worldwide. The new method is based on using an iterative procedure to compute Laplacian roots of a polynomial surface that represents the radiometric response of a set of pixels. The method uses a first approximation of the shoreline at pixel level (initial pixels) and selects a set of neighbouring pixels to be part of the analysis window. This adaptive window collects those stencils in which the maximum radiometric variations are found by using the information given by divided differences. Therefore, the land-water surface is computed by a piecewise interpolating polynomial that models the strong radiometric changes between both interfaces. The assessment is tested on two coastal areas to analyse how their inherent differences may affect the method. A total of 17 Landsat 7 and 8 images (L7 and L8) were used to extract the shorelines and compare them against other highly accurate lines that act as references. Accurate quantitative coastal data from the satellite images is obtained with a mean horizontal error of 4.38 ± 5.66 m and 1.79 ± 2.78 m, respectively, for L7 and L8. Prior methodologies to reach the sub-pixel shoreline are analysed and the results verify the solvency of the one proposed.
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spelling doaj.art-55eecc865794438599a07617b39154392022-12-21T19:42:01ZengMDPI AGRemote Sensing2072-42922019-08-011116188010.3390/rs11161880rs11161880A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel LevelElena Sánchez-García0Ángel Balaguer-Beser1Jaime Almonacid-Caballer2Josep Eliseu Pardo-Pascual3Geo-Environmental Cartography and Remote Sensing Group, Department of Cartographic Engineering, Geodesy and Photogrammetry, Universitat Politècnica de València., Camí de Vera s/n, 46022 València, SpainGeo-Environmental Cartography and Remote Sensing Group, Department of Cartographic Engineering, Geodesy and Photogrammetry, Universitat Politècnica de València., Camí de Vera s/n, 46022 València, SpainGeo-Environmental Cartography and Remote Sensing Group, Department of Cartographic Engineering, Geodesy and Photogrammetry, Universitat Politècnica de València., Camí de Vera s/n, 46022 València, SpainGeo-Environmental Cartography and Remote Sensing Group, Department of Cartographic Engineering, Geodesy and Photogrammetry, Universitat Politècnica de València., Camí de Vera s/n, 46022 València, SpainThis paper presents a new methodological process for detecting the instantaneous land-water border at sub-pixel level from mid-resolution satellite images (30 m/pixel) that are freely available worldwide. The new method is based on using an iterative procedure to compute Laplacian roots of a polynomial surface that represents the radiometric response of a set of pixels. The method uses a first approximation of the shoreline at pixel level (initial pixels) and selects a set of neighbouring pixels to be part of the analysis window. This adaptive window collects those stencils in which the maximum radiometric variations are found by using the information given by divided differences. Therefore, the land-water surface is computed by a piecewise interpolating polynomial that models the strong radiometric changes between both interfaces. The assessment is tested on two coastal areas to analyse how their inherent differences may affect the method. A total of 17 Landsat 7 and 8 images (L7 and L8) were used to extract the shorelines and compare them against other highly accurate lines that act as references. Accurate quantitative coastal data from the satellite images is obtained with a mean horizontal error of 4.38 ± 5.66 m and 1.79 ± 2.78 m, respectively, for L7 and L8. Prior methodologies to reach the sub-pixel shoreline are analysed and the results verify the solvency of the one proposed.https://www.mdpi.com/2072-4292/11/16/1880shoreline sub-pixel detectionsatellite imagesadaptive interpolationcoastal management
spellingShingle Elena Sánchez-García
Ángel Balaguer-Beser
Jaime Almonacid-Caballer
Josep Eliseu Pardo-Pascual
A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level
Remote Sensing
shoreline sub-pixel detection
satellite images
adaptive interpolation
coastal management
title A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level
title_full A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level
title_fullStr A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level
title_full_unstemmed A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level
title_short A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level
title_sort new adaptive image interpolation method to define the shoreline at sub pixel level
topic shoreline sub-pixel detection
satellite images
adaptive interpolation
coastal management
url https://www.mdpi.com/2072-4292/11/16/1880
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