
Proceedings Paper
Simplify the RFM based on the anti-ill-posed algorithmsFormat | Member Price | Non-Member Price |
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Paper Abstract
In recent years, the Rational Function Model (RFM) is more and more popular because of its generalization, high
accuracy and simplification. And it gradually replaced the traditional rigorous physical models. The classical form of
Rational Function Model is usually expressed as ratios of polynomials whose term's maximum power are limited to 3.
Although the maximum power of each term is limited, the terms of a polynomial with 3 power in the model are 20, and
the total terms of one RFM will be up to 80, which brings heavy calculation. Meanwhile, it needs 39 control points to
solve the RFM, but it is difficult to collect so many control points artificially. So this paper aims to simplify the RFM.
The paper can mainly be divided into three parts. Firstly, the development of RFM is introduced and its advantages and
disadvantages are discussed. Secondly, the classical method, iterative least squares solution, for solving RFM is detailed
described, and three anti-ill-posed algorithms for overcoming the RFM's ill-posed problem are introduced. Lastly, using
experimental results to prove it is feasible to simplify the RFM.
Paper Details
Date Published: 3 November 2010
PDF: 8 pages
Proc. SPIE 7840, Sixth International Symposium on Digital Earth: Models, Algorithms, and Virtual Reality, 784013 (3 November 2010); doi: 10.1117/12.872702
Published in SPIE Proceedings Vol. 7840:
Sixth International Symposium on Digital Earth: Models, Algorithms, and Virtual Reality
Huadong Guo; Changlin Wang, Editor(s)
PDF: 8 pages
Proc. SPIE 7840, Sixth International Symposium on Digital Earth: Models, Algorithms, and Virtual Reality, 784013 (3 November 2010); doi: 10.1117/12.872702
Show Author Affiliations
Libo Chen, Ctr. for Earth Observation and Digital Earth (China)
Graduate School of the Chinese Academy of Sciences (China)
Graduate School of the Chinese Academy of Sciences (China)
Weili Jiao, Ctr. for Earth Observation and Digital Earth (China)
Published in SPIE Proceedings Vol. 7840:
Sixth International Symposium on Digital Earth: Models, Algorithms, and Virtual Reality
Huadong Guo; Changlin Wang, Editor(s)
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