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Automatic MTF measurement through a least square method

机译:通过最小二乘法自动测量MTF

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The Modulation Transfer Function (MTF) is a major parameter for high resolution optical remote sensing systems, indicating how spatial frequencies are transmitted and weakened by the imaging global chain. Assessing MTF is thus a very important task during both the in-flight commissioning period and the routine monitoring phases. Classical in flight MTF measurement methods are based upon devoted well known patterns such as knife edge patterns. These techniques induce heavy constraints upon satellite payload programming taking into account nebulosity conditions and pattern ground maintenance. Moreover, for high MTF systems, MTF assessment proves to be difficult because the point spread function has a too reduced extension. Another solution consists in taking two images of the same scene, one in a high resolution mode and the other one in a lower resolution mode. When the resolution ratio is high enough (typically higher then 3), it is possible to simulate the lower resolution image through convolution with a filter and undersampling. The least square method consists in an iterative process, according to which the convolution filter evolves in order to minimize a least square criterion measuring the difference between the simulation and the low resolution image. Once the process has converged, taking the Fourier Transform of the convolution filter gives an estimation of the ratio between low resolution image MTF versus high resolution image MTF. This method may be successfully applied to remote sensing systems such as Quickbird, Ikonos, SPOT5 and future PLEIADES-HR to assess MTF in the multispectral mode. The goal of this paper is to present the MTF assessment method, the way it was validated through simulations and its application within SPOT5 context.
机译:调制传递函数(MTF)是高分辨率光学遥感系统的主要参数,指示成像全局链如何传输和减弱空间频率。因此,在飞行调试阶段和例行监视阶段,评估MTF是一项非常重要的任务。飞行中的经典MTF测量方法基于专门的众所周知的图案,例如刀口图案。这些技术考虑了雾度条件和地面模式维护,对卫星有效载荷编程产生了严格的限制。此外,对于高MTF系统,由于点扩展函数的扩展范围太小,事实证明MTF评估很困难。另一种解决方案是拍摄同一场景的两幅图像,一个以高分辨率模式拍摄,另一幅以较低分辨率模式拍摄。当分辨率足够高(通常高于3)时,可以通过使用滤波器和欠采样进行卷积来模拟较低分辨率的图像。最小二乘方法包含一个迭代过程,根据该过程,卷积滤波器将演化,以便最小化测量模拟和低分辨率图像之间差异的最小二乘标准。一旦过程收敛,对卷积滤波器进行傅立叶变换就可以估算出低分辨率图像MTF与高分辨率图像MTF之间的比率。该方法可以成功应用于遥感系统(如Quickbird,Ikonos,SPOT5和未来的PLEIADES-HR),以在多光谱模式下评估MTF。本文的目的是介绍MTF评估方法,通过仿真验证的方法及其在SPOT5上下文中的应用。

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