Title :
The maximum entropy algorithm for the determination of the Tikhonov regularization parameter in quantitative remote sensing inversion
Author :
Zhao, Hongrui ; Xu, Wangli ; Yang, Hua ; Li, Xiaowen ; Wang, Jindi ; Cui, Hongxia
Author_Institution :
Dept. of Geogr., Beijing Normal Univ., China
Abstract :
Remote sensing inversion problem is always ill-posed. However, regularization aims at turning the ill-posed problems into certainty. In this paper, taking the linear kernel-driven model as an example, we put forward the maximum entropy algorithm based on information theory to determine the Tikhonov regularization parameter. Then, analyse and compare it with other mature methods. Result shows that the maximum entropy algorithm has advantages when the variance of the observations´ noise is small or uncertainty of the prior knowledge is not too large.
Keywords :
information theory; inverse problems; maximum entropy methods; remote sensing; Tikhonov regularization parameter; information theory; linear kernel-driven model; mature methods; maximum entropy algorithm; noise; quantitative remote sensing inversion; Cities and towns; Entropy; Equations; Geography; Information retrieval; Information theory; Mathematics; Remote sensing; Turning; Uncertainty;
Conference_Titel :
Geoscience and Remote Sensing Symposium, 2003. IGARSS '03. Proceedings. 2003 IEEE International
Print_ISBN :
0-7803-7929-2
DOI :
10.1109/IGARSS.2003.1295299