Conjugate Gradient Method in Hilbert and Banach Spaces to Enhance the Spatial Resolution of Radiometer Data
Conjugate Gradient Method in Hilbert and Banach Spaces to Enhance the Spatial Resolution of Radiometer Data
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DOI：
10.1109/tgrs.2015.2458014
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发表时间：
2016
影响因子：
8.2
通讯作者：
F. Lenti;F. Nunziata;C. Estatico;M. Migliaccio
中科院分区：
文献类型：
--
作者：
F. Lenti;F. Nunziata;C. Estatico;M. Migliaccio
本文提出了一种新的计算机时间有效的迭代方法，以提高微波辐射计数据的空间分辨率在希尔伯特和Banach空间。重建方法是基于共轭梯度（CG）方法。CG是电磁学中的一种众所周知的方法，它通常用于解决希尔伯特空间中的逆问题。然而，该方法从未被应用于与微波遥感测量的空间分辨率增强相关的反问题。在本文中，CG适用于微波辐射计的情况下，利用重建亮度场在提高空间分辨率。然后，CG，首次推广到Banach空间的对偶映射，然后应用于提高辐射计的空间分辨率。在模拟和实际辐射计数据上进行的实验证实了所提出的方法在Banach空间中的合理性，并表明CG能够提供与传统Landweber方法相似的重建精度，但处理时间显着减少。
In this paper, a new computer-time effective iterative method is proposed to enhance the spatial resolution of microwave radiometer data in both Hilbert and Banach spaces. The reconstruction method is based on the conjugate gradient (CG) method. CG is a well-known method in electromagnetics, where it is commonly used to address inverse problems in Hilbert spaces. However, the method has never been applied to inverse problems related to spatial resolution enhancement of microwave remotely sensed measurements. In this paper, CG is adapted to the microwave radiometer case and exploited to reconstruct the brightness field at enhanced spatial resolution. Then, CG is, for the first time, extended to Banach spaces by means of duality maps and then applied to enhance the radiometer spatial resolution. Experiments undertaken on both simulated and actual radiometer data confirm the soundness of the proposed approach in Banach spaces and demonstrate that CG is able to provide a reconstruction accuracy similar to the conventional Landweber method, but with a significantly reduced processing time.