A comparison of interpolation processes: Applications to across-track scanning radiometers

B. Picard, E. Obligis, Marie-Laure Denneulin
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Abstract

This paper shows the first results of a more complete study on the comparison of interpolation methods applied to conically scanning and across-track scanning radiometers. The goal here is to present the performances of two interpolation algorithms for the interpolation of the raw measurements (samples) onto non-overlapping pixels, regularly localized along a scan of an across-track radiometer. The originality of the approach is the use of an end-to-end simulator including: (1) high resolution 2D realistic brightness temperature (TB) scenes computed from geophysical fields thanks to a radiative transfer model when previous studies have used synthetic ID profiles, (2) 2D convolution of the scene by Gaussian or measured antenna patterns at any pointing angle (defined by azimuth and elevation) when previous studies have used ID convolution of synthetic antenna patterns pointing at nadir, (3) notion of temporal integration when computing the raw radiometric measurements when previous studies have used instantaneous fields of view (IFOV) Both synthetic and high resolution realistic scenes, including or not radiometric noise, are used as referenced fields to assess the performances of these algorithms in term of radiometric accuracy and radiometric sensitivity. The simulation of the measurements is based on the convolution of the scene by the antenna patterns and takes into account the notion of Effective Field Of View (EFOV). The two interpolation processes are: (1) a purely geometric process based on the surface intersection between measurements (samples) and pixels -3dB beams projected on Earth. (2) the well-known Backus-Gilbert algorithm. The two methods show the same performance in term of radiometric accuracy when the Backus-Gilbert allows a better reduction of the radiometric noise.
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插值过程的比较:在跨轨迹扫描辐射计上的应用
本文对圆锥扫描和跨径扫描辐射计的插值方法进行了较为全面的比较研究,并给出了初步结果。这里的目标是展示两种插值算法的性能,用于将原始测量(样本)插值到非重叠像素上,这些像素沿着跨轨道辐射计的扫描有规律地定位。该方法的独创性在于使用端到端模拟器,包括:(1)利用辐射传输模型从地球物理场计算出高分辨率的二维真实亮度温度(TB)场景;(2)利用高斯或实测天线方向图对指向最低点的任意指向角度(由方位角和仰角定义)的场景进行二维卷积;(3)利用瞬时视场(IFOV)计算原始辐射测量值时的时间积分概念,将合成和高分辨率真实场景(包括或不包括辐射噪声)作为参考场,从辐射精度和辐射灵敏度方面评估这些算法的性能。测量的模拟是基于场景对天线方向图的卷积,并考虑了有效视场(EFOV)的概念。这两种插值过程是:(1)基于测量(样本)和投影在地球上的像素-3dB波束之间的表面相交的纯几何过程。(2)著名的Backus-Gilbert算法。当巴克斯-吉尔伯特法能够更好地降低辐射噪声时,两种方法在辐射精度方面表现出相同的性能。
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