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Open AccessArticle

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

Geo-Environmental Cartography and Remote Sensing Group, Department of Cartographic Engineering, Geodesy and Photogrammetry, Universitat Politècnica de València., Camí de Vera s/n, 46022 València, Spain
Department of Applied Mathematics, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain
Author to whom correspondence should be addressed.
Remote Sens. 2019, 11(16), 1880;
Received: 9 July 2019 / Revised: 8 August 2019 / Accepted: 9 August 2019 / Published: 12 August 2019
(This article belongs to the Section Remote Sensing Image Processing)
PDF [7018 KB, uploaded 20 August 2019]


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. View Full-Text
Keywords: shoreline sub-pixel detection; satellite images; adaptive interpolation; coastal management shoreline sub-pixel detection; satellite images; adaptive interpolation; coastal management

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Sánchez-García, E.; Balaguer-Beser, Á.; Almonacid-Caballer, J.; Pardo-Pascual, J.E. A New Adaptive Image Interpolation Method to Define the Shoreline at Sub-Pixel Level. Remote Sens. 2019, 11, 1880.

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