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INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE―ELLIPSE MODEL

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  • Addressing the difficulties of scattered and sparse observational data in ocean science, a new interpolation technique based on information diffusion is proposed in this paper. Based on a fuzzy mapping idea, sparse data samples are diffused and mapped into corresponding fuzzy sets in the form of probability in an interpolation ellipse model. To avoid the shortcoming of normal diffusion function on the asymmetric structure, a kind of asymmetric information diffusion function is developed and a corresponding algorithm-ellipse model for diffusion of asymmetric information is established. Through interpolation experiments and contrast analysis of the sea surface temperature data with ARGO data, the rationality and validity of the ellipse model are assessed.
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ZHANG Ren, HUANG Zhi-song, LI Jia-xun, et al. INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE―ELLIPSE MODEL [J]. Journal of Tropical Meteorology, 2013, 19(1): 59-66.
ZHANG Ren, HUANG Zhi-song, LI Jia-xun, et al. INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE―ELLIPSE MODEL [J]. Journal of Tropical Meteorology, 2013, 19(1): 59-66.
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Manuscript History

Manuscript received: 21 April 2011
Manuscript revised: 23 October 2012
通讯作者: 陈斌, bchen63@163.com
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INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE―ELLIPSE MODEL

Abstract: Addressing the difficulties of scattered and sparse observational data in ocean science, a new interpolation technique based on information diffusion is proposed in this paper. Based on a fuzzy mapping idea, sparse data samples are diffused and mapped into corresponding fuzzy sets in the form of probability in an interpolation ellipse model. To avoid the shortcoming of normal diffusion function on the asymmetric structure, a kind of asymmetric information diffusion function is developed and a corresponding algorithm-ellipse model for diffusion of asymmetric information is established. Through interpolation experiments and contrast analysis of the sea surface temperature data with ARGO data, the rationality and validity of the ellipse model are assessed.

ZHANG Ren, HUANG Zhi-song, LI Jia-xun, et al. INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE―ELLIPSE MODEL [J]. Journal of Tropical Meteorology, 2013, 19(1): 59-66.
Citation: ZHANG Ren, HUANG Zhi-song, LI Jia-xun, et al. INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE―ELLIPSE MODEL [J]. Journal of Tropical Meteorology, 2013, 19(1): 59-66.
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